1 00:00:00,280 --> 00:00:02,960 Speaker 1: Brought to you by the reinvented two thousand twelve Camray. 2 00:00:03,160 --> 00:00:08,920 Speaker 1: It's ready. Are you get in touch with technology? With 3 00:00:09,000 --> 00:00:17,920 Speaker 1: tech Stuff from how stuff works dot com. Hello again, everyone, 4 00:00:17,960 --> 00:00:20,360 Speaker 1: Welcome to tech Stuff. My name is Chris Poulette and 5 00:00:20,360 --> 00:00:22,760 Speaker 1: I'm an editor at how stuff works dot com. Sitting 6 00:00:22,800 --> 00:00:25,520 Speaker 1: across from me as usual, ready to move the Earth 7 00:00:25,840 --> 00:00:30,000 Speaker 1: is senior writer Jonathan Strickland. One is a genius, the 8 00:00:30,080 --> 00:00:34,280 Speaker 1: others insane. To prove their mousey worth, they'll overthrow the earth. 9 00:00:36,720 --> 00:00:38,920 Speaker 1: That was a particularly nice one. Thank you. I thought 10 00:00:38,920 --> 00:00:40,960 Speaker 1: you were gonna say one is the loneliest number, and 11 00:00:40,960 --> 00:00:42,519 Speaker 1: I'm just gonna say, what does that have to do 12 00:00:42,640 --> 00:00:45,479 Speaker 1: with our podcast? Now? We're going to talk about a genius. 13 00:00:45,479 --> 00:00:49,880 Speaker 1: Today we are going to concentrate on a genius, mathematical 14 00:00:49,880 --> 00:00:54,760 Speaker 1: genius and inventor, one of the one of the greats. Really, yeah, 15 00:00:54,800 --> 00:00:56,880 Speaker 1: we are. And in the past we have talked about 16 00:00:57,120 --> 00:01:02,240 Speaker 1: many fascinating people in tech, uh, most of whom lived 17 00:01:02,240 --> 00:01:06,360 Speaker 1: in the twenty one centuries. Today we're going back a 18 00:01:06,400 --> 00:01:11,760 Speaker 1: bit farther, Yeah, to the point of of two seven 19 00:01:11,800 --> 00:01:14,679 Speaker 1: b C would be the the year that this fellow 20 00:01:14,720 --> 00:01:18,280 Speaker 1: was born. And we are talking about Archimedes. Yes, the 21 00:01:18,319 --> 00:01:21,440 Speaker 1: developer of the T R S A D. I'm kidding, 22 00:01:21,600 --> 00:01:25,640 Speaker 1: he's definitely a precursor to that. Um. Yes, we're not 23 00:01:25,680 --> 00:01:30,160 Speaker 1: talking Texas instruments, we're talking Greek ones. So Archimedes was 24 00:01:30,280 --> 00:01:33,640 Speaker 1: a mathematician, he was an astronomer, he was an engineer 25 00:01:33,640 --> 00:01:37,720 Speaker 1: and inventor. Very clever fellow, I guess that would probably 26 00:01:37,760 --> 00:01:42,240 Speaker 1: an understatement. Oh, yes, one of the fathers of calculus. 27 00:01:42,280 --> 00:01:47,480 Speaker 1: Not not the calculus that we used today, but precursor again. Uh, well, 28 00:01:47,520 --> 00:01:49,640 Speaker 1: we've talked about it a lot in in the past 29 00:01:49,640 --> 00:01:53,120 Speaker 1: two We've talked about the principle of simultaneous discovery, where 30 00:01:53,120 --> 00:01:55,520 Speaker 1: people more than one person comes up with the same idea. 31 00:01:55,560 --> 00:01:59,480 Speaker 1: We've also talked about how people to have discoveries build 32 00:01:59,480 --> 00:02:03,160 Speaker 1: on other people's work. And Archimedes was definitely a founder 33 00:02:03,200 --> 00:02:05,560 Speaker 1: of many, many of our technologies. Yeah, you would call 34 00:02:05,640 --> 00:02:09,000 Speaker 1: him the father of integral calculus. Not not the same 35 00:02:09,000 --> 00:02:13,320 Speaker 1: thing as Newtonian calculus um, which is of course much 36 00:02:13,400 --> 00:02:16,840 Speaker 1: later on. So and and Chris has already made mention 37 00:02:17,000 --> 00:02:20,640 Speaker 1: of one of the famous quotes attributed to Archimedes, which is, 38 00:02:20,680 --> 00:02:22,840 Speaker 1: give me a place to stand, and I will move 39 00:02:22,919 --> 00:02:26,880 Speaker 1: the earth and it sounds like something that a megalomaniacal 40 00:02:27,360 --> 00:02:31,720 Speaker 1: supervillain would say. But in this case, Archimedes is talking 41 00:02:31,760 --> 00:02:35,080 Speaker 1: about the discoveries he made and what we would call 42 00:02:35,160 --> 00:02:40,600 Speaker 1: basic mechanical structures now, things like pulleys and levers. In 43 00:02:40,600 --> 00:02:44,399 Speaker 1: that case, we're talking specifically about leavers. But our Coimedes 44 00:02:44,480 --> 00:02:47,640 Speaker 1: really was interested in the relationship of pulleys leavers and 45 00:02:47,680 --> 00:02:50,520 Speaker 1: how they could be used to do work, and um, 46 00:02:50,680 --> 00:02:53,720 Speaker 1: he spent quite a bit of time perfecting that, so 47 00:02:53,880 --> 00:02:56,600 Speaker 1: much so that there are certain inventions that are are 48 00:02:56,680 --> 00:02:59,799 Speaker 1: associated with him that are related in some form to 49 00:03:00,000 --> 00:03:03,919 Speaker 1: simple machines, although not all of those inventions are necessarily 50 00:03:04,720 --> 00:03:09,160 Speaker 1: straight from uh, from archimedes brain. But we're gonna talk 51 00:03:09,200 --> 00:03:11,280 Speaker 1: a little bit about some of the things that he 52 00:03:11,360 --> 00:03:13,240 Speaker 1: did do, and then some of the things that are 53 00:03:13,280 --> 00:03:16,320 Speaker 1: attributed to him that perhaps he did not do or 54 00:03:16,440 --> 00:03:19,960 Speaker 1: perhaps just didn't work. There's one in particular that's pretty 55 00:03:19,960 --> 00:03:22,600 Speaker 1: famous due to a MythBusters episode that we'll get to. 56 00:03:23,240 --> 00:03:27,160 Speaker 1: It's one of my favorites, actually, Now, Archimedes. Archimedes his 57 00:03:27,240 --> 00:03:31,280 Speaker 1: dad was an astronomer, so he was growing up, he 58 00:03:31,360 --> 00:03:35,680 Speaker 1: was exposed to the sciences. Um, he was probably taught 59 00:03:35,720 --> 00:03:40,760 Speaker 1: by followers of Euclid, and uh he was. You know, 60 00:03:41,080 --> 00:03:43,160 Speaker 1: what we know of him is mostly from stuff that 61 00:03:43,200 --> 00:03:46,080 Speaker 1: was written well after his death, and because of that 62 00:03:46,120 --> 00:03:49,920 Speaker 1: we can't be completely certain about the details of his life. 63 00:03:49,920 --> 00:03:53,840 Speaker 1: In fact, there's still some confusion about exactly when he died. 64 00:03:54,160 --> 00:03:56,840 Speaker 1: It was sometime around two hundred twelve or two hundred 65 00:03:56,880 --> 00:03:59,080 Speaker 1: eleven b C. He was born in two eight seven 66 00:03:59,080 --> 00:04:02,600 Speaker 1: b C. Remember we count backwards right, probably confuse the 67 00:04:02,640 --> 00:04:04,680 Speaker 1: heck out of them at the time. What are we 68 00:04:04,720 --> 00:04:09,680 Speaker 1: coming down to? So, yeah, so and so he died 69 00:04:09,680 --> 00:04:12,360 Speaker 1: around two twelve to eleven b C. And you might ask, well, 70 00:04:12,400 --> 00:04:17,920 Speaker 1: how did Archimedes die? How did Archimedes die violently? Unfortunately, 71 00:04:18,320 --> 00:04:22,039 Speaker 1: it was during a sacking of Syracuse, which is that 72 00:04:22,120 --> 00:04:25,720 Speaker 1: was archimedes home. He lived in Syracuse, in Sicily and 73 00:04:25,960 --> 00:04:27,960 Speaker 1: at the time it was an independent Greek city state. 74 00:04:28,760 --> 00:04:31,719 Speaker 1: Before it it was, you know, physically uprooted and moved 75 00:04:31,760 --> 00:04:37,000 Speaker 1: to New York. Yes, no, yes, not how exactly what happened? No, no, no, 76 00:04:37,160 --> 00:04:42,719 Speaker 1: the original original Syracuse. So so in the Romans were 77 00:04:42,760 --> 00:04:47,400 Speaker 1: in a war with It was a Roman Carthin Carthaginian war, 78 00:04:47,680 --> 00:04:49,840 Speaker 1: says Carthage, and Rome are in a war with each 79 00:04:49,880 --> 00:04:51,880 Speaker 1: other in Syracuse got pulled into the middle of that, 80 00:04:51,960 --> 00:04:56,039 Speaker 1: despite attempts to kind of sort of not do that, 81 00:04:56,760 --> 00:04:59,839 Speaker 1: but various rulers of Syracuse ended up siding with either 82 00:05:00,000 --> 00:05:03,880 Speaker 1: Home or Carthage during the the the whole conflict, and 83 00:05:03,960 --> 00:05:07,920 Speaker 1: at one point in the war, Rome besieged Syracuse and 84 00:05:08,400 --> 00:05:12,680 Speaker 1: during the attack a Roman soldier came upon Archimedes, and 85 00:05:12,800 --> 00:05:17,240 Speaker 1: although there were specific orders to spare the life of Archimedes, 86 00:05:17,600 --> 00:05:21,600 Speaker 1: the Roman soldier killed him, apparently not knowing the identity 87 00:05:21,640 --> 00:05:25,800 Speaker 1: of the man he put to the sword. So Archimedes 88 00:05:26,000 --> 00:05:29,400 Speaker 1: was He was valued by both sides. He was recognized 89 00:05:29,440 --> 00:05:32,200 Speaker 1: as a genius, and neither side wanted this genius to 90 00:05:32,200 --> 00:05:36,360 Speaker 1: be destroyed. But as an unfortunate side effective war, sometimes 91 00:05:36,600 --> 00:05:40,880 Speaker 1: accidents happened. Now why was why did people consider him 92 00:05:40,880 --> 00:05:43,360 Speaker 1: a genius? Well, one was that he was making incredible 93 00:05:43,400 --> 00:05:48,719 Speaker 1: contributions to mathematics. He had found really interesting relationships between 94 00:05:48,760 --> 00:05:51,239 Speaker 1: things like the volume of the sphere and the surface 95 00:05:51,279 --> 00:05:55,240 Speaker 1: area of cylinders, and found out interesting ways to to 96 00:05:55,520 --> 00:05:59,360 Speaker 1: kind of explain those relationships, including a very close approximation 97 00:05:59,400 --> 00:06:06,520 Speaker 1: of pie um. Bye, we've lost him, haven't had breakfast? Yet. Um. 98 00:06:06,560 --> 00:06:11,760 Speaker 1: So he was definitely valued for his intelligence, but beyond that, 99 00:06:11,880 --> 00:06:16,200 Speaker 1: he also was this great inventor. In fact, during the war, 100 00:06:16,400 --> 00:06:19,360 Speaker 1: during the siege on Syracuse, he came up with an 101 00:06:19,360 --> 00:06:23,039 Speaker 1: invention known as the iron hand that played a big 102 00:06:23,080 --> 00:06:25,680 Speaker 1: part in the defense of the city. Did you come 103 00:06:25,680 --> 00:06:27,760 Speaker 1: across the iron hand? Actually I did not come across 104 00:06:27,800 --> 00:06:31,200 Speaker 1: the iron hand. This is different from the iron fist. Yeah, 105 00:06:31,360 --> 00:06:33,760 Speaker 1: I guess the one is used for defense. The other 106 00:06:33,839 --> 00:06:36,480 Speaker 1: one you rule with that. It was also sometimes called 107 00:06:36,560 --> 00:06:42,720 Speaker 1: Archimedes claw. Um, it's a it's a brilliant, brilliant defense 108 00:06:42,760 --> 00:06:45,680 Speaker 1: mechanism for that time. It would not work today. But 109 00:06:45,800 --> 00:06:50,120 Speaker 1: here's what here's what it was. So Syracuse was um, 110 00:06:50,480 --> 00:06:53,760 Speaker 1: right up against the ocean. Like essentially there was you know, 111 00:06:54,200 --> 00:06:56,719 Speaker 1: a slight cliff and then you had a city wall 112 00:06:57,360 --> 00:07:00,160 Speaker 1: that that was I think twenty seven kilometers long back 113 00:07:00,160 --> 00:07:03,520 Speaker 1: when it stood. It doesn't stand anymore, um, but it 114 00:07:04,440 --> 00:07:06,240 Speaker 1: you know, then you it was essentially right up against 115 00:07:06,279 --> 00:07:09,159 Speaker 1: the ocean. So one of the possible avenues of attack 116 00:07:09,279 --> 00:07:12,040 Speaker 1: was an attack by sea, which is what one of 117 00:07:12,080 --> 00:07:16,960 Speaker 1: the venues that Rome was interested in. So, uh, the 118 00:07:17,040 --> 00:07:20,040 Speaker 1: leader of Syracuse came to our communes and said, I 119 00:07:20,080 --> 00:07:23,000 Speaker 1: need a way to protect us while from these attacks 120 00:07:23,000 --> 00:07:26,000 Speaker 1: from the from the ocean. So what our communes came 121 00:07:26,040 --> 00:07:29,640 Speaker 1: up with was an enormous lever that you would mount 122 00:07:29,920 --> 00:07:32,680 Speaker 1: on the sides of the city walls. Are actually on 123 00:07:32,680 --> 00:07:34,080 Speaker 1: the top of the city walls. So you have this 124 00:07:34,280 --> 00:07:37,680 Speaker 1: huge lever that that extends out over the ocean. Okay, 125 00:07:38,320 --> 00:07:40,800 Speaker 1: from the end of the lever, you have a rope 126 00:07:41,120 --> 00:07:43,160 Speaker 1: that drops down, and on the end of the rope 127 00:07:43,160 --> 00:07:46,000 Speaker 1: is a grappling hook. Now on the other end, the 128 00:07:46,040 --> 00:07:49,400 Speaker 1: short end of the lever, you put huge lead weights 129 00:07:49,800 --> 00:07:52,240 Speaker 1: and you first put them near the pivot point so 130 00:07:52,280 --> 00:07:54,680 Speaker 1: that the weight of the long part of the lever 131 00:07:55,120 --> 00:07:59,040 Speaker 1: keeps it level. All right, What you try to do 132 00:07:59,080 --> 00:08:01,200 Speaker 1: is you try and catch the bow of a ship, 133 00:08:01,280 --> 00:08:04,280 Speaker 1: a Roman ship with that grappling hook. Once you do, 134 00:08:04,320 --> 00:08:08,840 Speaker 1: you slide those weights back from the the fulcrum there 135 00:08:08,880 --> 00:08:11,520 Speaker 1: to the very end of the short arm of the lever. 136 00:08:11,640 --> 00:08:14,200 Speaker 1: Now that weight is enough to push that end of 137 00:08:14,240 --> 00:08:16,600 Speaker 1: the lever down, meaning the long arm of the lever 138 00:08:16,720 --> 00:08:19,040 Speaker 1: goes up. That's the arm that, by the way, is 139 00:08:19,080 --> 00:08:21,600 Speaker 1: attached to the rope and the grappling hook. So you 140 00:08:22,000 --> 00:08:25,520 Speaker 1: literally pull the end of the Roman ship out of 141 00:08:25,560 --> 00:08:29,040 Speaker 1: the water. You then use the lever to shake the 142 00:08:29,200 --> 00:08:32,880 Speaker 1: Roman ship and eventually the grappling hook breaks off of it, 143 00:08:33,400 --> 00:08:36,640 Speaker 1: making the Roman ship fall again, either smashing against the 144 00:08:36,640 --> 00:08:40,240 Speaker 1: water or the rocks on the base of the cliffs. 145 00:08:40,920 --> 00:08:44,600 Speaker 1: That's brilliant, but extremely complicated. It seems like trying to 146 00:08:44,600 --> 00:08:51,400 Speaker 1: to build the lever. Yeah, however, was incredibly effective. Yeah, 147 00:08:51,600 --> 00:08:56,720 Speaker 1: so effective that Rome abandoned their sea based attacks. They 148 00:08:56,720 --> 00:08:59,240 Speaker 1: instead of instead of attacking Syracuse by see, what they 149 00:08:59,240 --> 00:09:02,400 Speaker 1: did was they set up a blockade further out in 150 00:09:02,440 --> 00:09:04,440 Speaker 1: the ocean where they're not going to get hit by 151 00:09:04,440 --> 00:09:07,600 Speaker 1: a grappling hook from the shore, and then they ended 152 00:09:07,679 --> 00:09:13,120 Speaker 1: up attacking by land and eventually sacked Syracuse. So while 153 00:09:13,200 --> 00:09:17,280 Speaker 1: the victory was a a a good one, I mean 154 00:09:17,320 --> 00:09:21,720 Speaker 1: it was, it was definitely a lauded victory, but it 155 00:09:21,800 --> 00:09:24,319 Speaker 1: was short lived because all they did was they changed 156 00:09:24,360 --> 00:09:31,520 Speaker 1: tactics and unfortunately the the iron hand was not as 157 00:09:31,559 --> 00:09:35,440 Speaker 1: good at defending against land based attacks good at all. Now, 158 00:09:35,480 --> 00:09:41,560 Speaker 1: there were other theoretical weapons that some people say actually 159 00:09:41,600 --> 00:09:44,600 Speaker 1: were built and used against the Romans during this very 160 00:09:44,640 --> 00:09:48,160 Speaker 1: same siege, and uh, one of the one I was 161 00:09:48,200 --> 00:09:51,520 Speaker 1: talking about with MythBusters was the the Archimedes death ray. 162 00:09:52,040 --> 00:09:54,280 Speaker 1: Oh right, you know what I'm talking about here, right right, 163 00:09:54,360 --> 00:09:58,320 Speaker 1: How he theoretically was able to uh set fire to 164 00:09:58,440 --> 00:10:01,520 Speaker 1: the sales, Yeah, to the same or actual ships from 165 00:10:01,520 --> 00:10:05,280 Speaker 1: a distance. The idea being that he designed a device 166 00:10:05,360 --> 00:10:10,280 Speaker 1: that would reflect and concentrate light from the sun and 167 00:10:10,320 --> 00:10:12,720 Speaker 1: direct it at ships, and it would be so intense 168 00:10:12,760 --> 00:10:14,720 Speaker 1: that it would be hot enough to to set fire 169 00:10:14,760 --> 00:10:16,840 Speaker 1: to at least the sales of the ship, if not 170 00:10:16,920 --> 00:10:20,640 Speaker 1: the actual ships themselves. Uh and and and at least 171 00:10:20,679 --> 00:10:23,800 Speaker 1: some of the reports it was uh said that he 172 00:10:23,960 --> 00:10:27,680 Speaker 1: used shields and he just polished the surface of the 173 00:10:27,720 --> 00:10:31,680 Speaker 1: metal shields and arrayed them in a in a shape 174 00:10:31,720 --> 00:10:35,000 Speaker 1: that would direct the light kind of very concentrated way. 175 00:10:35,040 --> 00:10:37,600 Speaker 1: So you have all these different shields that are tilted 176 00:10:37,720 --> 00:10:41,040 Speaker 1: just so so that the light that they reflect all 177 00:10:41,120 --> 00:10:44,720 Speaker 1: hits the same spot, sort of like the devices that 178 00:10:44,800 --> 00:10:47,040 Speaker 1: you used to cook a hot dog or something like 179 00:10:47,080 --> 00:10:49,200 Speaker 1: that that you used to use a camp. You know, 180 00:10:49,240 --> 00:10:51,680 Speaker 1: you have your your mirror and you stick your food there, 181 00:10:51,679 --> 00:10:55,480 Speaker 1: and you know, the sunlight reflects off the inside of 182 00:10:55,480 --> 00:10:59,720 Speaker 1: the mirror, and except much much larger and stuff I 183 00:10:59,800 --> 00:11:04,120 Speaker 1: use to fire, Yeah, anyway now that that actually isn't 184 00:11:04,240 --> 00:11:06,800 Speaker 1: so far fetched in a way. I mean, he really 185 00:11:06,880 --> 00:11:11,240 Speaker 1: was interested in catoptrics, which I didn't know was a word, 186 00:11:11,240 --> 00:11:12,920 Speaker 1: so I'm trying to use it and build it into 187 00:11:12,920 --> 00:11:15,400 Speaker 1: my vocabulary that I don't know what it is, so 188 00:11:15,440 --> 00:11:17,720 Speaker 1: please tell me, yes, Well, I actually got that word 189 00:11:17,760 --> 00:11:22,880 Speaker 1: from H. Britannica's profile on archimedes Um. It is the 190 00:11:22,880 --> 00:11:26,680 Speaker 1: the part of optics that works with the reflection of 191 00:11:26,760 --> 00:11:31,000 Speaker 1: light from mirrors from different types. They could be flat 192 00:11:31,120 --> 00:11:35,480 Speaker 1: or curved mirrors, but catoptrics is is that, uh study, 193 00:11:35,600 --> 00:11:39,080 Speaker 1: and he was particularly interested in it, so it wasn't 194 00:11:39,120 --> 00:11:41,840 Speaker 1: like it was out of character for him to be 195 00:11:42,000 --> 00:11:45,760 Speaker 1: interested in something like that. But apparently it doesn't so 196 00:11:45,880 --> 00:11:50,520 Speaker 1: much work well. On the MythBusters episode that they made um, 197 00:11:50,679 --> 00:11:54,520 Speaker 1: the MythBusters used they they actually tried to build one 198 00:11:54,559 --> 00:11:56,800 Speaker 1: themselves and it didn't really work so well. And then 199 00:11:56,800 --> 00:11:59,679 Speaker 1: they set out a challenge to various groups to try 200 00:11:59,720 --> 00:12:03,199 Speaker 1: and build old Um a working ur commedees death ray, 201 00:12:03,400 --> 00:12:05,880 Speaker 1: and they found some success, something where it was warm 202 00:12:05,960 --> 00:12:08,319 Speaker 1: enough where it could in theory set fire to maybe 203 00:12:08,360 --> 00:12:12,040 Speaker 1: the sales, but it would it took time, and you know, 204 00:12:12,080 --> 00:12:13,760 Speaker 1: you had to worry about it being the right time 205 00:12:13,760 --> 00:12:15,440 Speaker 1: of day for you to be able to do this, 206 00:12:15,960 --> 00:12:19,080 Speaker 1: And it would really depend on the ship being very 207 00:12:19,160 --> 00:12:23,040 Speaker 1: uh well complicit in the burning process, in the sense 208 00:12:23,120 --> 00:12:25,760 Speaker 1: of if the ship's moving around a lot, then you 209 00:12:25,800 --> 00:12:27,680 Speaker 1: have to be able to move the ray so that 210 00:12:27,760 --> 00:12:29,840 Speaker 1: it stays on the same general area in order to 211 00:12:29,920 --> 00:12:32,440 Speaker 1: keep increasing that temperature until it reaches the burning point. 212 00:12:33,080 --> 00:12:36,120 Speaker 1: And if the ship's moving, then you may not be 213 00:12:36,200 --> 00:12:39,280 Speaker 1: able to train the ray on that on that uh 214 00:12:39,800 --> 00:12:43,480 Speaker 1: moving target fast enough to be able to um to 215 00:12:43,480 --> 00:12:46,280 Speaker 1: actually get the temperature hot enough to for stuff to burn. 216 00:12:46,760 --> 00:12:51,080 Speaker 1: So it's even if it were an actual weapon, it 217 00:12:51,200 --> 00:12:55,360 Speaker 1: was not necessarily an effective one, not like the not 218 00:12:55,440 --> 00:12:58,400 Speaker 1: like the the the lever that he had designed, which 219 00:12:58,600 --> 00:13:02,400 Speaker 1: was to monsterly effective, effective enough to make the Romans 220 00:13:02,480 --> 00:13:08,359 Speaker 1: change their tactics. Now, there are also other interesting inventions 221 00:13:08,400 --> 00:13:11,280 Speaker 1: that we attribute to our commedies, one of which is 222 00:13:11,440 --> 00:13:16,880 Speaker 1: uh that that he probably did make were planetariums. Oh yes, 223 00:13:17,559 --> 00:13:22,479 Speaker 1: they were also called spheres at the time. The Archimedes spears, 224 00:13:22,520 --> 00:13:25,680 Speaker 1: and it was if you don't know what a planetarium is, 225 00:13:25,840 --> 00:13:31,880 Speaker 1: a planetarium is essentially a geocentric model of what the 226 00:13:31,600 --> 00:13:34,360 Speaker 1: h the stars and position of planets in the Sun 227 00:13:34,400 --> 00:13:36,160 Speaker 1: and the moon, what what it looks like from the 228 00:13:36,200 --> 00:13:38,880 Speaker 1: perspective of Earth. You know, it's a it's an earth 229 00:13:39,000 --> 00:13:44,000 Speaker 1: based view of the the galaxies around us, the universe essentially. 230 00:13:44,600 --> 00:13:48,840 Speaker 1: And so Archimedes had apparently built one of these possibly 231 00:13:48,920 --> 00:13:53,480 Speaker 1: that used interesting little gears to mimic the motion of 232 00:13:53,559 --> 00:13:58,120 Speaker 1: the planets and stars and constellations to keep everything aligned 233 00:13:58,160 --> 00:14:01,000 Speaker 1: properly and making the move the way they actually do 234 00:14:01,679 --> 00:14:05,760 Speaker 1: through the sky. And uh, he built a couple of 235 00:14:05,800 --> 00:14:09,680 Speaker 1: these apparently, although both of them have been lost. There 236 00:14:09,679 --> 00:14:13,000 Speaker 1: were other devices that have been recovered since then from 237 00:14:13,120 --> 00:14:17,240 Speaker 1: shipwrecks and things like that that may either be an 238 00:14:17,240 --> 00:14:21,320 Speaker 1: actual example of the spheres of Archimedes himself built or 239 00:14:21,360 --> 00:14:24,920 Speaker 1: maybe built on the same principles that Archimedes used when 240 00:14:24,920 --> 00:14:28,920 Speaker 1: building his But that's that's one of those things where 241 00:14:29,040 --> 00:14:31,600 Speaker 1: we have we've heard the record of him building these things, 242 00:14:31,640 --> 00:14:34,840 Speaker 1: and he certainly had the intelligence necessary to be able 243 00:14:34,880 --> 00:14:37,240 Speaker 1: to design such a thing, we just don't have the 244 00:14:37,240 --> 00:14:42,200 Speaker 1: physical proof of it. Um. Yeah, there was a treatise 245 00:14:42,280 --> 00:14:45,480 Speaker 1: that he apparently wrote called the sand Reckoner that had 246 00:14:45,520 --> 00:14:50,800 Speaker 1: to do with um astronomy and his astronomical thought. He 247 00:14:50,840 --> 00:14:57,400 Speaker 1: actually had had been able to sort of using his 248 00:14:57,720 --> 00:15:00,840 Speaker 1: tools of his time, he was able to get an 249 00:15:00,840 --> 00:15:05,680 Speaker 1: eye a reasonable idea of the diameter of the sun, um, 250 00:15:05,760 --> 00:15:08,800 Speaker 1: you know, through his uh using instruments to observe this. 251 00:15:08,840 --> 00:15:11,960 Speaker 1: And this is of course long before people that we 252 00:15:12,040 --> 00:15:16,440 Speaker 1: sort of associate with um astronomy, you know, modern astronomy, 253 00:15:16,480 --> 00:15:20,960 Speaker 1: people like Galileo UM. You know. There he was really 254 00:15:21,160 --> 00:15:24,480 Speaker 1: sort of in a groundbreaking category in this regard. But 255 00:15:24,520 --> 00:15:28,479 Speaker 1: all there were others who who worked with these principles 256 00:15:28,480 --> 00:15:32,480 Speaker 1: to um. You know, his work went into uh, several 257 00:15:32,520 --> 00:15:35,040 Speaker 1: others as well, but UM, I think it's sort of 258 00:15:35,120 --> 00:15:39,160 Speaker 1: disappeared for a while. UM. And they were the kinds 259 00:15:39,160 --> 00:15:41,840 Speaker 1: of things too that stood out. People like Plutarch, the 260 00:15:42,040 --> 00:15:45,320 Speaker 1: uh um you know, who wrote quite a bit about 261 00:15:45,560 --> 00:15:50,360 Speaker 1: the famous people of his time, categorized archimedes work. UM 262 00:15:50,400 --> 00:15:54,200 Speaker 1: and he's you know, these things were well enough documented 263 00:15:54,240 --> 00:15:57,560 Speaker 1: that he was able to to pull this out. So yeah, 264 00:15:57,640 --> 00:16:01,320 Speaker 1: I'd like to talk about another real quick legendary Archimedes 265 00:16:01,440 --> 00:16:06,720 Speaker 1: moment um. This would be another great quote. Yes it does. 266 00:16:06,920 --> 00:16:09,680 Speaker 1: It has to do with the bathtub. So this is 267 00:16:09,760 --> 00:16:13,720 Speaker 1: again a possibly apocryphal story. So in other words, this 268 00:16:13,720 --> 00:16:16,560 Speaker 1: this may not be true. In fact, I think a 269 00:16:16,600 --> 00:16:19,480 Speaker 1: lot of historians put this in the realm of legend 270 00:16:19,520 --> 00:16:23,320 Speaker 1: for for many reasons, one of which is that the 271 00:16:23,360 --> 00:16:29,040 Speaker 1: solution Archimedes came up with was actually not as not 272 00:16:29,160 --> 00:16:32,720 Speaker 1: as difficult to to get to as you would imagine. So, 273 00:16:32,760 --> 00:16:35,240 Speaker 1: in other words, it seems like it's too easy an 274 00:16:35,240 --> 00:16:38,720 Speaker 1: answer for Archimedes is almost the argument here. But the 275 00:16:38,720 --> 00:16:41,920 Speaker 1: the situation was that you had the King of Syracuse 276 00:16:42,560 --> 00:16:48,920 Speaker 1: who had commissioned a a golden crown, and this golden 277 00:16:48,960 --> 00:16:53,320 Speaker 1: crown was made, but the king was suspicious of the 278 00:16:53,360 --> 00:16:56,360 Speaker 1: golden crown. He thought that perhaps the person who made 279 00:16:56,360 --> 00:16:59,920 Speaker 1: it actually used silver to make the crown and then 280 00:17:00,040 --> 00:17:03,880 Speaker 1: coated it with gold in order to UH to cheat 281 00:17:04,000 --> 00:17:07,600 Speaker 1: the king out of money, essentially because silver was less 282 00:17:07,640 --> 00:17:12,119 Speaker 1: precious than gold, and therefore by using gold silver in 283 00:17:12,240 --> 00:17:15,000 Speaker 1: the crown, he could make it for for less money 284 00:17:15,119 --> 00:17:17,959 Speaker 1: than it would cost him uh to to gather all 285 00:17:17,960 --> 00:17:21,720 Speaker 1: the materials, and thus have a higher profit. So how 286 00:17:21,720 --> 00:17:24,080 Speaker 1: do you figure out if it weighs the right amount 287 00:17:24,359 --> 00:17:28,840 Speaker 1: for a crown of that general size? Um, how do 288 00:17:28,880 --> 00:17:31,679 Speaker 1: you figure out whether or not silver was used? Well, 289 00:17:32,040 --> 00:17:34,399 Speaker 1: silver doesn't weigh as much as gold does. So in 290 00:17:34,480 --> 00:17:36,280 Speaker 1: other in other words, in order to make a silver 291 00:17:36,359 --> 00:17:39,119 Speaker 1: crown that would weigh the same amount as a gold crown, 292 00:17:40,240 --> 00:17:43,679 Speaker 1: you would have to add more silver. Right, So, if 293 00:17:43,720 --> 00:17:46,679 Speaker 1: you had a cube of silver and a cube of 294 00:17:46,720 --> 00:17:49,720 Speaker 1: gold that were the exact same size, the gold would 295 00:17:49,720 --> 00:17:52,560 Speaker 1: weigh more. So in order to make the cube's weigh 296 00:17:52,600 --> 00:17:54,719 Speaker 1: the same, you would have to have a bigger cube 297 00:17:54,720 --> 00:17:58,680 Speaker 1: of silver. Right, So that was that was what Archimedes 298 00:17:58,720 --> 00:18:00,680 Speaker 1: came up with. He came up with this adea of well, 299 00:18:00,680 --> 00:18:03,520 Speaker 1: if I use the amount of gold that it takes 300 00:18:03,560 --> 00:18:06,639 Speaker 1: to create the weight of this crown, let's say this 301 00:18:06,720 --> 00:18:10,040 Speaker 1: crown weighs let's just say ten pounds. Okay, okay, So 302 00:18:10,240 --> 00:18:13,440 Speaker 1: for the argument's sake, this crown weighed ten pounds. So 303 00:18:13,440 --> 00:18:15,080 Speaker 1: what our community said, Well, what if I get ten 304 00:18:15,119 --> 00:18:19,040 Speaker 1: pounds of gold, and then I use some way to 305 00:18:19,119 --> 00:18:23,119 Speaker 1: determine the mass of that gold, and then I use 306 00:18:23,200 --> 00:18:25,920 Speaker 1: that same measurement for the crown. If the measurements the same, 307 00:18:26,400 --> 00:18:29,720 Speaker 1: then we can come to the conclusion that the gold 308 00:18:29,760 --> 00:18:32,040 Speaker 1: that is gold in the crown, if the if it's different, 309 00:18:32,080 --> 00:18:33,840 Speaker 1: then we can say that maybe there's a different material 310 00:18:33,880 --> 00:18:38,600 Speaker 1: in here. So what he did was he took a bath. Yes, 311 00:18:40,040 --> 00:18:42,399 Speaker 1: so this all has to do with the displacement of 312 00:18:42,400 --> 00:18:45,960 Speaker 1: water by putting the the and again we're just using 313 00:18:45,960 --> 00:18:50,119 Speaker 1: this this measurement out of for for simplicity's sake. Putting 314 00:18:50,119 --> 00:18:52,679 Speaker 1: ten pounds of gold in the bath, he sees how 315 00:18:52,800 --> 00:18:55,720 Speaker 1: much water is displaced, how far that water is displaced 316 00:18:55,760 --> 00:18:58,480 Speaker 1: in the bath, and then putting the crown in there, 317 00:18:58,800 --> 00:19:01,719 Speaker 1: he can see how much water is displaced from there, 318 00:19:01,720 --> 00:19:04,400 Speaker 1: and the the amount is different than he knows that 319 00:19:04,480 --> 00:19:08,440 Speaker 1: the two materials are not the same. And supposedly he 320 00:19:08,520 --> 00:19:13,520 Speaker 1: became so excited by this discovery that he ran out 321 00:19:13,720 --> 00:19:19,120 Speaker 1: of his home. Starkers, I'm that's not a joke. That's 322 00:19:19,240 --> 00:19:21,960 Speaker 1: part of the legend. Know that that part is not 323 00:19:22,080 --> 00:19:27,640 Speaker 1: what's cracking up Starkers. He was naked as a blue 324 00:19:27,720 --> 00:19:31,880 Speaker 1: jay running down the road, turning into my kinfolk here. 325 00:19:32,359 --> 00:19:35,879 Speaker 1: Um so anyway, yeah, completely nude, running down the street 326 00:19:35,960 --> 00:19:41,720 Speaker 1: and screams out Eureka, which means I have found it 327 00:19:41,880 --> 00:19:46,800 Speaker 1: also is a quirky, uh dramatic comedy on the sci 328 00:19:46,920 --> 00:19:51,600 Speaker 1: Fi network. Yes, that is anyway, So Eureka, that's that's 329 00:19:51,600 --> 00:19:53,440 Speaker 1: where we get that when when you have someone who 330 00:19:53,480 --> 00:19:57,240 Speaker 1: makes a discovering screams out eureka, they are essentially paying 331 00:19:57,520 --> 00:20:01,600 Speaker 1: homage to Archimedes, which, again, since this is a potentially 332 00:20:01,600 --> 00:20:07,120 Speaker 1: apocryphal story, we might just be paying homage to a legend. Well, 333 00:20:07,160 --> 00:20:13,000 Speaker 1: apparently the bathtub part is what's probably apocryphal, but the 334 00:20:13,119 --> 00:20:17,119 Speaker 1: crown part apparently is true. Um, they do. They do 335 00:20:17,200 --> 00:20:19,800 Speaker 1: seem to feel, or at least Britannic Adust seems to 336 00:20:19,840 --> 00:20:23,600 Speaker 1: feel that that that he was asked to determine whether 337 00:20:23,720 --> 00:20:28,600 Speaker 1: or not the crown was actually gold apparently really did happen. Yeah, 338 00:20:28,600 --> 00:20:30,600 Speaker 1: and and then you know, you would want somebody like 339 00:20:30,680 --> 00:20:34,719 Speaker 1: Archimedes to do this because he was thinking scientifically in 340 00:20:34,720 --> 00:20:37,080 Speaker 1: this case. And the reason you might say, well, why 341 00:20:37,119 --> 00:20:40,200 Speaker 1: don't they just scratched the crown and see if they're 342 00:20:40,240 --> 00:20:42,760 Speaker 1: silver and they bite it like your coin, right, Well, 343 00:20:42,800 --> 00:20:46,399 Speaker 1: the problem here was that the crown was considered to 344 00:20:46,520 --> 00:20:50,199 Speaker 1: be almost a holy relic. It was because you're the 345 00:20:50,320 --> 00:20:53,760 Speaker 1: kings of the Greeks were they would trace their lineage 346 00:20:53,800 --> 00:20:58,399 Speaker 1: back to God's and so you couldn't destroy the crown 347 00:20:58,400 --> 00:21:01,359 Speaker 1: in any way because that was an front to the gods. 348 00:21:01,400 --> 00:21:04,320 Speaker 1: So he had to find a non destructive way to 349 00:21:04,520 --> 00:21:07,720 Speaker 1: test this without you know, without actually causing any sort 350 00:21:07,760 --> 00:21:12,000 Speaker 1: of damage to the crown, which makes it way more difficult. Um. 351 00:21:12,040 --> 00:21:16,080 Speaker 1: And then we have another object that is attributed to Archimedes, 352 00:21:16,160 --> 00:21:21,000 Speaker 1: although it's very possible that it actually predates his lifetime 353 00:21:21,119 --> 00:21:23,080 Speaker 1: and it's just that he observed it and then was 354 00:21:23,119 --> 00:21:26,560 Speaker 1: able to apply it elsewhere, which is the Archimedes screw. Yes, 355 00:21:26,760 --> 00:21:30,240 Speaker 1: you know, well, how could it not be Archimedes invention? 356 00:21:30,280 --> 00:21:36,919 Speaker 1: It has his name right there in the name. Well, yeah, 357 00:21:37,040 --> 00:21:42,000 Speaker 1: McDonald's isn't named for somebody named McDonald, so you know 358 00:21:42,080 --> 00:21:45,320 Speaker 1: there's a name. A name is is a tricky thing sometimes, 359 00:21:45,840 --> 00:21:49,919 Speaker 1: but yes, he did. He did observe the principle that uh, 360 00:21:50,160 --> 00:21:53,720 Speaker 1: you know, the hydrostatic principle using using the screw to 361 00:21:53,880 --> 00:21:58,520 Speaker 1: raise water, which sounds counterintuitive at first until you realize 362 00:21:58,560 --> 00:22:01,520 Speaker 1: how this is implemented. It's actually a screw that is, 363 00:22:01,600 --> 00:22:05,080 Speaker 1: in general, the screw is encased in a tube and 364 00:22:05,119 --> 00:22:07,800 Speaker 1: then you lay it in a at an angle whereof 365 00:22:07,800 --> 00:22:09,600 Speaker 1: you know, one end is raised at the top and 366 00:22:09,760 --> 00:22:12,600 Speaker 1: the other end goes into the water. So you've got 367 00:22:12,600 --> 00:22:15,080 Speaker 1: one end that that descends into the water, and you 368 00:22:15,080 --> 00:22:18,160 Speaker 1: have one end that's above the water level. You start 369 00:22:18,240 --> 00:22:20,240 Speaker 1: turning that screw and what it does is it scoops 370 00:22:20,280 --> 00:22:23,439 Speaker 1: the water and the water travels up the screw just 371 00:22:23,520 --> 00:22:26,000 Speaker 1: because of the principle of the screw as you turn 372 00:22:26,080 --> 00:22:29,879 Speaker 1: it within this tube. Now there's you know, you might 373 00:22:29,960 --> 00:22:32,320 Speaker 1: have some leakage issues where some of the water leaks 374 00:22:32,359 --> 00:22:34,159 Speaker 1: back down to the next level down. But as as 375 00:22:34,200 --> 00:22:36,919 Speaker 1: soon as you start turning that screw in a nice clip, 376 00:22:37,200 --> 00:22:40,000 Speaker 1: eventually the water starts coming to the surface, and the 377 00:22:40,000 --> 00:22:43,879 Speaker 1: the speed that you turn the screw will counteract the 378 00:22:43,960 --> 00:22:46,359 Speaker 1: leaking problem. And since it's just leaking to the next 379 00:22:46,480 --> 00:22:49,840 Speaker 1: level down, it essentially becomes a non issue once you 380 00:22:50,000 --> 00:22:52,560 Speaker 1: get to a certain speed and you can actually lift 381 00:22:52,600 --> 00:22:55,440 Speaker 1: water out of out of a body of water that way, 382 00:22:55,480 --> 00:22:58,800 Speaker 1: and this was often used in our commedes time two 383 00:22:59,200 --> 00:23:02,640 Speaker 1: pull water from say a lake and put it into 384 00:23:02,680 --> 00:23:05,960 Speaker 1: an irrigation system. The Greeks and Romans were both very 385 00:23:05,960 --> 00:23:10,399 Speaker 1: big on irrigation. Yes indeed, um, yeah, Actually that reminds 386 00:23:10,440 --> 00:23:14,879 Speaker 1: me of there's an infant toy that has three or 387 00:23:14,920 --> 00:23:18,760 Speaker 1: four little plastic balls and there's a screw inside and 388 00:23:18,800 --> 00:23:21,440 Speaker 1: if you push down and it's encased as you said, 389 00:23:21,480 --> 00:23:23,280 Speaker 1: in it and not in a tube. It's actually sort 390 00:23:23,280 --> 00:23:27,040 Speaker 1: of a it's not conical, but it does get narrower 391 00:23:27,040 --> 00:23:28,720 Speaker 1: at the top than it is at the bottom. And 392 00:23:28,760 --> 00:23:31,520 Speaker 1: when you press down on the plunger in the center, 393 00:23:31,520 --> 00:23:34,080 Speaker 1: it makes the screw turn. And the faster you push it, 394 00:23:34,200 --> 00:23:38,639 Speaker 1: the higher the balls climb up the screw until you stop, 395 00:23:38,720 --> 00:23:41,440 Speaker 1: and then they know spin back down. I mean there's 396 00:23:41,680 --> 00:23:45,200 Speaker 1: you know, not hydro static, there's no water, and but yeah, 397 00:23:45,200 --> 00:23:47,160 Speaker 1: it's the same kind of thing, and you can sort 398 00:23:47,160 --> 00:23:49,440 Speaker 1: of if you've seen that, that's you can sort of 399 00:23:49,480 --> 00:23:52,480 Speaker 1: imagine that because it's you don't often see an archimedes 400 00:23:52,520 --> 00:23:56,200 Speaker 1: screw in practice, although you you you can see them 401 00:23:56,200 --> 00:23:58,359 Speaker 1: in practice if you were to go to certain hydro 402 00:23:58,640 --> 00:24:01,880 Speaker 1: electric plants, they would be used in practice in reverse 403 00:24:02,640 --> 00:24:05,960 Speaker 1: because then what you do is you turn the If 404 00:24:05,960 --> 00:24:08,639 Speaker 1: you happen to pour water on the top of the screw, 405 00:24:09,240 --> 00:24:12,040 Speaker 1: it will make the screw turn. So you know, turning 406 00:24:12,040 --> 00:24:13,600 Speaker 1: the screw will bring water to the top. But if 407 00:24:13,680 --> 00:24:16,199 Speaker 1: you pour water on the top of the screw, it 408 00:24:16,240 --> 00:24:18,880 Speaker 1: makes the screw turn, so it's the reverse action. Well, 409 00:24:19,040 --> 00:24:21,280 Speaker 1: that means that if you are able to position the 410 00:24:21,320 --> 00:24:25,040 Speaker 1: screw so that a flow of water is constant on 411 00:24:25,080 --> 00:24:27,399 Speaker 1: the top of it, then the screw will keep turning. 412 00:24:27,400 --> 00:24:29,800 Speaker 1: You can make that screw to work. You can have 413 00:24:29,840 --> 00:24:32,520 Speaker 1: that screw uh use you can use it to drive 414 00:24:32,560 --> 00:24:35,240 Speaker 1: a generator, an electric generator, and thus you can create 415 00:24:35,240 --> 00:24:37,560 Speaker 1: electricity from water. That's just one way. I mean, there 416 00:24:37,560 --> 00:24:39,679 Speaker 1: are turbines as well. I mean, it's not the only 417 00:24:40,200 --> 00:24:44,160 Speaker 1: method of of using water to drive an electric generator, 418 00:24:44,280 --> 00:24:46,400 Speaker 1: but it is one way. Yeah. I was actually thinking 419 00:24:46,440 --> 00:24:51,120 Speaker 1: of the Tesla turbine when you mentioned that, um, which 420 00:24:51,160 --> 00:24:52,919 Speaker 1: is also a fascinating thing. We have an article on 421 00:24:52,960 --> 00:24:55,080 Speaker 1: the website about that as a matter of fact. Not 422 00:24:55,160 --> 00:24:58,040 Speaker 1: it's not using the same exact principle, but it's also 423 00:24:58,400 --> 00:25:01,480 Speaker 1: a way of using water to to uh to turn 424 00:25:01,520 --> 00:25:04,359 Speaker 1: a turbine. That's not, you know, something what I would 425 00:25:04,359 --> 00:25:07,240 Speaker 1: think of a typical But anyway, I digress, and we 426 00:25:07,440 --> 00:25:10,280 Speaker 1: again we should point out, I mean, we've mentioned it 427 00:25:10,320 --> 00:25:12,640 Speaker 1: a couple of times, but it bears repeating that they 428 00:25:13,520 --> 00:25:18,440 Speaker 1: the actual Archimedes screw. There are at least some indications 429 00:25:18,480 --> 00:25:21,480 Speaker 1: that this was being used in Egypt, uh well before 430 00:25:21,560 --> 00:25:25,240 Speaker 1: Archimedes ever had his name attached to it. Yeah, completely 431 00:25:25,280 --> 00:25:28,399 Speaker 1: by chance. Um A few months ago, I was reading 432 00:25:28,480 --> 00:25:32,880 Speaker 1: the uh the Biography of Cleopatra by Stacy Schiff. It's 433 00:25:33,000 --> 00:25:36,000 Speaker 1: very popular there for a while, UM, and I hadn't 434 00:25:36,000 --> 00:25:39,520 Speaker 1: really read a lot about ancient Egypt. But he Archimedes 435 00:25:39,560 --> 00:25:44,360 Speaker 1: was actually in contact with, uh, some of the scientists 436 00:25:44,400 --> 00:25:48,520 Speaker 1: in Alexandria, which at that time, Alexandria and Egypt was 437 00:25:49,240 --> 00:25:51,840 Speaker 1: probably the world center of learning, or at least one 438 00:25:51,840 --> 00:25:56,640 Speaker 1: of the top uh centers of scholarship, you know. And um, 439 00:25:57,280 --> 00:26:00,680 Speaker 1: he apparently was was in contact with them and had 440 00:26:00,720 --> 00:26:04,840 Speaker 1: spent some time in Egypt before he went to Syracuse. Uh. 441 00:26:04,880 --> 00:26:08,360 Speaker 1: So it is not at all unlikely, um that he 442 00:26:09,000 --> 00:26:11,200 Speaker 1: wouldn't have you know that that he would have had 443 00:26:11,240 --> 00:26:15,119 Speaker 1: contact with those uh, those scientists over there and gotten 444 00:26:15,160 --> 00:26:18,639 Speaker 1: some some cool ideas, you know. And he also was 445 00:26:19,560 --> 00:26:23,199 Speaker 1: attributed with the creation of a game. Really yeah, did 446 00:26:23,200 --> 00:26:27,400 Speaker 1: you hear about stonemacheon or stomachion. I have heard of it, 447 00:26:27,800 --> 00:26:30,560 Speaker 1: but I didn't realize this was this was related to 448 00:26:30,600 --> 00:26:33,080 Speaker 1: our comedies. It's attributed to him. It's a it's a 449 00:26:33,160 --> 00:26:36,320 Speaker 1: game that you play with these different shapes. It's almost 450 00:26:36,359 --> 00:26:38,439 Speaker 1: like having a puzzle in a way, like these shapes. 451 00:26:38,480 --> 00:26:41,320 Speaker 1: If you if you put them all together in one way, 452 00:26:41,400 --> 00:26:44,119 Speaker 1: it will create essentially a square. But the idea is 453 00:26:44,160 --> 00:26:48,720 Speaker 1: to use those shapes to create other recognizable shapes. And 454 00:26:48,880 --> 00:26:52,240 Speaker 1: it's really an exercise and creativity like seeing seeing the 455 00:26:52,280 --> 00:26:57,040 Speaker 1: potential of geometry to build um shapes that are more organic, 456 00:26:57,359 --> 00:26:59,680 Speaker 1: so things like you use them to build a tree 457 00:27:00,200 --> 00:27:04,240 Speaker 1: or the example I saw was an elephant. Um, which 458 00:27:04,280 --> 00:27:05,680 Speaker 1: is kind of it's just kind of interesting. Is the 459 00:27:05,720 --> 00:27:08,119 Speaker 1: idea that you have to use all the shapes in 460 00:27:08,240 --> 00:27:14,280 Speaker 1: the group to create a recognizable object, an interesting object. 461 00:27:14,640 --> 00:27:19,960 Speaker 1: And uh so that's also attributed to Archimedes. But again 462 00:27:20,000 --> 00:27:23,680 Speaker 1: this is another one of those attributions that we can't 463 00:27:23,720 --> 00:27:26,920 Speaker 1: be completely certain is accurate. It's just one of those 464 00:27:26,920 --> 00:27:29,520 Speaker 1: another another interesting thing of something that Archimedes may have 465 00:27:29,520 --> 00:27:38,400 Speaker 1: had a hand in. Um. So shapes actually yeah, um 466 00:27:38,400 --> 00:27:40,840 Speaker 1: looking for something. Darn it all right, hang on, well, 467 00:27:41,080 --> 00:27:45,800 Speaker 1: well you look and then we will pick up alright, 468 00:27:45,840 --> 00:27:49,959 Speaker 1: speaking of shapes. Um, you know, he was he was 469 00:27:50,800 --> 00:27:53,920 Speaker 1: involved with many He published a lot of his work, 470 00:27:54,119 --> 00:27:57,199 Speaker 1: and there there is an indication that he may have 471 00:27:57,359 --> 00:28:01,960 Speaker 1: had other work that he either didn't publish or that 472 00:28:02,119 --> 00:28:04,919 Speaker 1: was later lost. Um. Again, there's been a lot of 473 00:28:04,960 --> 00:28:07,960 Speaker 1: time that has passed now since he is he has 474 00:28:08,280 --> 00:28:11,119 Speaker 1: left us. But um, one of the things we do 475 00:28:11,240 --> 00:28:15,840 Speaker 1: know that he was fascinated with shapes. Um. He was 476 00:28:15,880 --> 00:28:20,280 Speaker 1: able to, uh to figure out the surface area of 477 00:28:20,480 --> 00:28:26,920 Speaker 1: a spear sphere of radius r. Remember this back from 478 00:28:26,960 --> 00:28:32,840 Speaker 1: your mathematics classes. I have a vague memory of it. Yeah, 479 00:28:33,080 --> 00:28:38,360 Speaker 1: yeph s equals for pie r squared. Yeah, and the 480 00:28:38,480 --> 00:28:42,200 Speaker 1: volume is two thirds of the cylinder in which it 481 00:28:42,240 --> 00:28:46,560 Speaker 1: is inscribed. H v equals four thirds pie r cubed. 482 00:28:47,560 --> 00:28:50,280 Speaker 1: I have not had to know those those formula and 483 00:28:50,600 --> 00:28:52,719 Speaker 1: so long, but they came back to me as soon 484 00:28:52,720 --> 00:28:55,440 Speaker 1: as I saw that. And apparently, uh, he was so 485 00:28:55,520 --> 00:28:59,040 Speaker 1: excited about this that this is actually, uh what his 486 00:28:59,160 --> 00:29:04,600 Speaker 1: tomb was arked with. Marcus Tullius Cicero found his tomb, 487 00:29:04,640 --> 00:29:10,840 Speaker 1: which had been overgrown with uh greenery, let's say, and um, 488 00:29:10,840 --> 00:29:13,080 Speaker 1: probably about a hundred and fifty years or so after 489 00:29:13,120 --> 00:29:16,400 Speaker 1: he died, and found that his uh, his tomb had 490 00:29:16,400 --> 00:29:19,760 Speaker 1: been inscribed with a a sphere or had been marked 491 00:29:19,800 --> 00:29:23,280 Speaker 1: with a sphere inscribed in a cylinder. And that's uh, 492 00:29:23,400 --> 00:29:26,640 Speaker 1: I just think that's fascinating. I mean, going back to 493 00:29:26,680 --> 00:29:33,000 Speaker 1: what I learned about geometry and um uh calculus. I 494 00:29:33,000 --> 00:29:35,720 Speaker 1: think of people who came much later than that. But 495 00:29:36,880 --> 00:29:40,320 Speaker 1: you know, in general, but Archimedes really had a huge 496 00:29:40,320 --> 00:29:43,840 Speaker 1: influence on many many other people. Of course, his writings 497 00:29:44,160 --> 00:29:47,440 Speaker 1: were known to uh, to the Arabic world. A lot 498 00:29:47,480 --> 00:29:51,200 Speaker 1: of a lot of scientists and mathematicians from that era 499 00:29:51,720 --> 00:29:54,560 Speaker 1: in in later centuries were able to take his work 500 00:29:54,560 --> 00:29:58,920 Speaker 1: and build upon it. Um, and it's just uh, it's 501 00:29:58,960 --> 00:30:01,720 Speaker 1: just cool stuff. He also did lot with with mathematics 502 00:30:02,000 --> 00:30:05,120 Speaker 1: as it was, you know, working on place value systems 503 00:30:06,000 --> 00:30:11,320 Speaker 1: UM and lots and lots of different things. He wasn't 504 00:30:11,360 --> 00:30:14,720 Speaker 1: he wasn't. Uh he was, I would say, polly mathic. Yes, 505 00:30:15,200 --> 00:30:19,600 Speaker 1: you know, somebody who is is um well, has has 506 00:30:19,640 --> 00:30:23,040 Speaker 1: knowledge in multiple areas, very knowledgeable about a variety of 507 00:30:23,320 --> 00:30:26,160 Speaker 1: mathematical and science topics. And we'll probably talk about other 508 00:30:26,200 --> 00:30:30,400 Speaker 1: individuals who fall into that category as well. Um for example, 509 00:30:30,440 --> 00:30:33,200 Speaker 1: I eventually we're gonna have to do a full profile 510 00:30:33,200 --> 00:30:36,880 Speaker 1: on Leonardo da Vinci. Yeah, because but that's another famous 511 00:30:36,960 --> 00:30:40,440 Speaker 1: polymath from from history that that you know, really was 512 00:30:40,960 --> 00:30:44,760 Speaker 1: instrumental in the whole idea of of invention, you know, 513 00:30:44,920 --> 00:30:49,320 Speaker 1: really embracing that part of genius and uh, I would 514 00:30:49,320 --> 00:30:53,520 Speaker 1: say Archimedes was a great you know, uh forefather of 515 00:30:53,560 --> 00:30:57,320 Speaker 1: that of invention as well. Now granted, he's also a 516 00:30:57,400 --> 00:31:02,560 Speaker 1: very good example of the the raise uh necessity is 517 00:31:02,600 --> 00:31:05,440 Speaker 1: the mother of invention. When you've got romans attacking you, 518 00:31:05,440 --> 00:31:07,320 Speaker 1: you find it really necessary to find a way to 519 00:31:07,360 --> 00:31:10,840 Speaker 1: make them stop. And then he wrote that song you know, 520 00:31:11,040 --> 00:31:15,000 Speaker 1: fifty Ways to Love your lever. Alright, So that wraps 521 00:31:15,080 --> 00:31:19,240 Speaker 1: up this discussion on Archimedes. If all of you folks 522 00:31:19,240 --> 00:31:21,520 Speaker 1: out there have in a particular people you would like 523 00:31:21,600 --> 00:31:24,000 Speaker 1: us to come straight on, either in the deep past 524 00:31:24,200 --> 00:31:27,680 Speaker 1: or even modern day, whichever, let us know. You can 525 00:31:27,720 --> 00:31:30,840 Speaker 1: send us a message on Facebook or Twitter. Are handle 526 00:31:30,920 --> 00:31:34,440 Speaker 1: there is tech Stuff h s W or you can 527 00:31:34,520 --> 00:31:38,640 Speaker 1: email us. That address is tech stuff at how stuff 528 00:31:38,640 --> 00:31:40,160 Speaker 1: works dot com. Chris and I will talk to you 529 00:31:40,200 --> 00:31:44,959 Speaker 1: again really soon. 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