[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.79,0:00:04.60,Default,,0000,0000,0000,,“自然的律法只是上帝的数学思想。”
Dialogue: 0,0:00:04.86,0:00:07.52,Default,,0000,0000,0000,,这是欧几里得的一句话。
Dialogue: 0,0:00:07.52,0:00:12.66,Default,,0000,0000,0000,,欧几里得是一个生于约公元前300唸的一个希腊数学家和哲学家。
Dialogue: 0,0:00:12.66,0:00:19.69,Default,,0000,0000,0000,,我之所以引用这句话，是因为欧几里得被认为是几何学之父。
Dialogue: 0,0:00:19.69,0:00:22.66,Default,,0000,0000,0000,,这句名言简洁明了，无论你怎样看待上帝，
Dialogue: 0,0:00:22.66,0:00:25.05,Default,,0000,0000,0000,,不管上帝是否存在，或者上帝的本质是什么，
Dialogue: 0,0:00:25.05,0:00:27.52,Default,,0000,0000,0000,,它都揭露了关于自然的最重要的一些东西。
Dialogue: 0,0:00:27.52,0:00:31.65,Default,,0000,0000,0000,,自然的规律仅仅是上帝的数学思想，
Dialogue: 0,0:00:31.65,0:00:35.02,Default,,0000,0000,0000,,而数学是所有自然法则的支柱。
Dialogue: 0,0:00:35.02,0:00:37.80,Default,,0000,0000,0000,,”几何学“这个单词本身来自于希腊词根，
Dialogue: 0,0:00:37.80,0:00:40.98,Default,,0000,0000,0000,,”Geo“来自于希腊语的”地球“，
Dialogue: 0,0:00:40.98,0:00:44.21,Default,,0000,0000,0000,,”Metry“来自于希腊语的”测量“。
Dialogue: 0,0:00:44.21,0:00:47.18,Default,,0000,0000,0000,,你可能曾经用过某些“测量”系统。
Dialogue: 0,0:00:47.18,0:00:50.13,Default,,0000,0000,0000,,欧几里得被认为是几何学之父。
Dialogue: 0,0:00:50.13,0:00:52.80,Default,,0000,0000,0000,,（不是因为他是第一个研究几何学的人）
Dialogue: 0,0:00:52.80,0:00:56.28,Default,,0000,0000,0000,,你可以想象最初研究几何学的人们，
Dialogue: 0,0:00:56.56,0:01:00.02,Default,,0000,0000,0000,,他们可能盯着地上的两根树枝看着，
Dialogue: 0,0:01:00.02,0:01:02.46,Default,,0000,0000,0000,,他们可能盯着另外一对树枝一样的东西看着，
Dialogue: 0,0:01:02.46,0:01:05.18,Default,,0000,0000,0000,,然后说，这个开口更大。它们的关系是什么？
Dialogue: 0,0:01:05.18,0:01:13.65,Default,,0000,0000,0000,,或者他们可能看着一棵树枝像这样的树。
Dialogue: 0,0:01:13.65,0:01:18.27,Default,,0000,0000,0000,,然后他们会说，“嗯，这个开口和这个开口有点像。”
Dialogue: 0,0:01:18.27,0:01:19.74,Default,,0000,0000,0000,,或者他们可能问问自己，
Dialogue: 0,0:01:19.74,0:01:26.12,Default,,0000,0000,0000,,这个比例是多少，或者圆的周长和直径有什么关系
Dialogue: 0,0:01:26.12,0:01:28.35,Default,,0000,0000,0000,,这种关系对于所有圆来讲都成立吗
Dialogue: 0,0:01:28.35,0:01:31.81,Default,,0000,0000,0000,,怎样能让它绝对成立呢？
Dialogue: 0,0:01:31.81,0:01:34.41,Default,,0000,0000,0000,,一旦你理解了早期希腊人，
Dialogue: 0,0:01:34.41,0:01:39.01,Default,,0000,0000,0000,,他们开始思考更多几何问题。
Dialogue: 0,0:01:39.01,0:01:43.26,Default,,0000,0000,0000,,当谈到古希腊数学家，比如毕达哥拉斯
Dialogue: 0,0:01:43.26,0:01:45.54,Default,,0000,0000,0000,,（他是早于欧几里得的一位数学家）
Dialogue: 0,0:01:45.54,0:01:54.51,Default,,0000,0000,0000,,但是人们之所以认为认为欧几里得是几何学之父（我们常常谈到欧式几何）
Dialogue: 0,0:01:54.51,0:01:59.83,Default,,0000,0000,0000,,
Dialogue: 0,0:01:59.83,0:02:05.79,Default,,0000,0000,0000,,
Dialogue: 0,0:02:05.79,0:02:08.38,Default,,0000,0000,0000,,
Dialogue: 0,0:02:08.38,0:02:14.40,Default,,0000,0000,0000,,但是让欧几里得成为几何学之父的，是他的代表作《几何原本》。
Dialogue: 0,0:02:14.40,0:02:21.26,Default,,0000,0000,0000,,
Dialogue: 0,0:02:21.26,0:02:24.77,Default,,0000,0000,0000,,
Dialogue: 0,0:02:24.77,0:02:31.44,Default,,0000,0000,0000,,
Dialogue: 0,0:02:31.44,0:02:37.52,Default,,0000,0000,0000,,
Dialogue: 0,0:02:37.52,0:02:40.68,Default,,0000,0000,0000,,
Dialogue: 0,0:02:40.68,0:02:44.96,Default,,0000,0000,0000,,
Dialogue: 0,0:02:44.96,0:02:47.53,Default,,0000,0000,0000,,
Dialogue: 0,0:02:47.53,0:02:51.85,Default,,0000,0000,0000,,
Dialogue: 0,0:02:51.85,0:02:55.33,Default,,0000,0000,0000,,
Dialogue: 0,0:02:55.33,0:03:02.39,Default,,0000,0000,0000,,
Dialogue: 0,0:03:02.39,0:03:05.81,Default,,0000,0000,0000,,
Dialogue: 0,0:03:05.81,0:03:14.37,Default,,0000,0000,0000,,
Dialogue: 0,0:03:14.37,0:03:18.18,Default,,0000,0000,0000,,
Dialogue: 0,0:03:18.18,0:03:24.48,Default,,0000,0000,0000,,
Dialogue: 0,0:03:24.48,0:03:29.72,Default,,0000,0000,0000,,
Dialogue: 0,0:03:33.22,0:03:37.72,Default,,0000,0000,0000,,
Dialogue: 0,0:03:37.72,0:03:43.75,Default,,0000,0000,0000,,
Dialogue: 0,0:03:43.75,0:03:51.55,Default,,0000,0000,0000,,
Dialogue: 0,0:03:51.55,0:03:55.73,Default,,0000,0000,0000,,
Dialogue: 0,0:03:55.73,0:03:58.49,Default,,0000,0000,0000,,
Dialogue: 0,0:03:58.49,0:04:01.26,Default,,0000,0000,0000,,
Dialogue: 0,0:04:01.26,0:04:04.04,Default,,0000,0000,0000,,
Dialogue: 0,0:04:04.04,0:04:06.16,Default,,0000,0000,0000,,
Dialogue: 0,0:04:06.16,0:04:11.40,Default,,0000,0000,0000,,
Dialogue: 0,0:04:11.40,0:04:14.10,Default,,0000,0000,0000,,
Dialogue: 0,0:04:14.10,0:04:17.07,Default,,0000,0000,0000,,
Dialogue: 0,0:04:17.07,0:04:23.48,Default,,0000,0000,0000,,
Dialogue: 0,0:04:23.48,0:04:30.10,Default,,0000,0000,0000,,
Dialogue: 0,0:04:30.88,0:04:39.69,Default,,0000,0000,0000,,
Dialogue: 0,0:04:39.69,0:04:42.02,Default,,0000,0000,0000,,
Dialogue: 0,0:04:43.07,0:04:47.88,Default,,0000,0000,0000,,
Dialogue: 0,0:04:47.88,0:04:55.43,Default,,0000,0000,0000,,
Dialogue: 0,0:04:55.43,0:04:59.86,Default,,0000,0000,0000,,
Dialogue: 0,0:04:59.86,0:05:01.58,Default,,0000,0000,0000,,
Dialogue: 0,0:05:01.58,0:05:04.34,Default,,0000,0000,0000,,
Dialogue: 0,0:05:04.34,0:05:07.94,Default,,0000,0000,0000,,
Dialogue: 0,0:05:07.94,0:05:09.94,Default,,0000,0000,0000,,
Dialogue: 0,0:05:10.52,0:05:16.61,Default,,0000,0000,0000,,
Dialogue: 0,0:05:16.61,0:05:19.42,Default,,0000,0000,0000,,
Dialogue: 0,0:05:19.82,0:05:23.78,Default,,0000,0000,0000,,
Dialogue: 0,0:05:23.78,0:05:26.61,Default,,0000,0000,0000,,
Dialogue: 0,0:05:26.61,0:05:29.75,Default,,0000,0000,0000,,
Dialogue: 0,0:05:29.75,0:05:35.90,Default,,0000,0000,0000,,
Dialogue: 0,0:05:35.90,0:05:38.87,Default,,0000,0000,0000,,
Dialogue: 0,0:05:38.87,0:05:40.78,Default,,0000,0000,0000,,
Dialogue: 0,0:05:41.21,0:05:43.80,Default,,0000,0000,0000,,
Dialogue: 0,0:05:43.80,0:05:48.42,Default,,0000,0000,0000,,
Dialogue: 0,0:05:48.42,0:05:53.45,Default,,0000,0000,0000,,
Dialogue: 0,0:05:53.45,0:05:59.38,Default,,0000,0000,0000,,
Dialogue: 0,0:05:59.38,0:06:02.58,Default,,0000,0000,0000,,
Dialogue: 0,0:06:02.58,0:06:08.45,Default,,0000,0000,0000,,
Dialogue: 0,0:06:08.45,0:06:13.31,Default,,0000,0000,0000,,
Dialogue: 0,0:06:13.31,0:06:17.100,Default,,0000,0000,0000,,
Dialogue: 0,0:06:17.100,0:06:23.06,Default,,0000,0000,0000,,
Dialogue: 0,0:06:23.06,0:06:28.00,Default,,0000,0000,0000,,
Dialogue: 0,0:06:28.00,0:06:32.65,Default,,0000,0000,0000,,
Dialogue: 0,0:06:32.65,0:06:35.67,Default,,0000,0000,0000,,
Dialogue: 0,0:06:35.67,0:06:41.24,Default,,0000,0000,0000,,
Dialogue: 0,0:06:41.24,0:06:45.68,Default,,0000,0000,0000,,
Dialogue: 0,0:06:45.68,0:06:55.15,Default,,0000,0000,0000,,
Dialogue: 0,0:06:55.15,0:07:00.47,Default,,0000,0000,0000,,
Dialogue: 0,0:07:00.47,0:07:04.34,Default,,0000,0000,0000,,
Dialogue: 0,0:07:04.34,0:07:06.81,Default,,0000,0000,0000,,
Dialogue: 0,0:07:06.81,0:07:11.87,Default,,0000,0000,0000,,
Dialogue: 0,0:07:11.87,0:07:17.35,Default,,0000,0000,0000,,
Dialogue: 0,0:07:17.35,0:07:24.13,Default,,0000,0000,0000,,
Dialogue: 0,0:07:24.13,0:07:30.88,Default,,0000,0000,0000,,
Dialogue: 0,0:07:30.88,0:07:32.95,Default,,0000,0000,0000,,
Dialogue: 0,0:07:33.45,0:07:36.92,Default,,0000,0000,0000,,
Dialogue: 0,0:07:36.92,0:07:42.81,Default,,0000,0000,0000,,
Dialogue: 0,0:07:42.87,0:07:49.62,Default,,0000,0000,0000,,
Dialogue: 0,0:07:49.62,0:07:59.81,Default,,0000,0000,0000,,
Dialogue: 0,0:07:59.81,0:08:01.97,Default,,0000,0000,0000,,
Dialogue: 0,0:08:01.97,0:08:06.39,Default,,0000,0000,0000,,
Dialogue: 0,0:08:06.39,0:08:08.52,Default,,0000,0000,0000,,
Dialogue: 0,0:08:08.52,0:08:12.82,Default,,0000,0000,0000,,
Dialogue: 0,0:08:12.82,0:08:17.00,Default,,0000,0000,0000,,
Dialogue: 0,0:08:17.00,0:08:21.39,Default,,0000,0000,0000,,