If results such as theories of geometry were faked by Europeans during the Renaissance, then those Europeans were even more ingenious than as credited today. Either way, a win for them.
Archimedes' discovery of the law of buoyancy in the bathtub is indeed unreliable, most likely similar to the apple hitting Newton's head, and shouldn't be taken serious.
But Archimedes' lever for moving the earth is indeed very suspicious since it requires knowledge unlikely available.
Start with the few knowns. We know, as did the Ancient Greeks, that the Moon travels around the Earth at a constant speed—about 29 days per revolution. The diameter of the Earth is also known to be about 12,875 kilometers, or 8,000 miles. By tracking the movement of the Earth’s shadow across the Moon, Greek astronomers found that the Earth’s shadow was roughly 2.5 times the apparent size of the Moon and lasted roughly three hours from the first to last signs of the shadow.
From these measurements, it was simple geometry that allowed Aristarchus (circa 270 B.C.) to determined that the Moon was around 60 Earth radii away (about 386,243 km or 240,000 miles). This is quite close to the currently accepted figure of 60.3 radii.
You can follow Aristarchus’ method in your own backyard if you have a clear view of a Lunar eclipse. Track the movement of the Earth’s shadow on the Moon by drawing the changes and time the eclipse. Use your measurements to determine the Moon’s distance.
对古希腊文明的真实性进行质疑的重要根据之一，是在古希腊著作中居然发现了几百年甚至上千年后才出现的词汇、概念与物品。这个古希腊大师阿基米德在澡盆泡澡时发现浮力定律的故事很可能就是一例。现在人们普遍用的澡盆，是美国人于1883年发明的。古希腊有澡盆吗？如果没有，说古希腊大师阿基米德发现了浮力定律，应该要有合理的解释。
另一个例子是，古希腊人已经发现地球是圆的。阿基米德大师说“给我一个支点，我可以撬动地球”。问题是，那时欧亚人还没有发现美洲大陆，也没有完成环球航行，阿基米德是怎样发现地球是圆的？有专家称，阿基米德大师是根据月亮上弧形阴影推断出来的。问题是，这样的推断需要预先知道地球围绕太阳旋转、月球围绕地球旋转等天文知识，这些天文知识，由开普勒、牛顿等人在十七世纪才逐步建立和完善的。阿基米德怎样在1800多年前就正确掌握这些天文知识呢？
另一方面，大家知道希腊神话在古希腊占统治地位，反映了古希腊人的宇宙观，是一个相当大的知识体系，并不是一般的文学作品。希腊神话认为，大地之母盖亚，生下了黑暗神厄瑞玻斯、与黑夜女神倪克斯，这是世界的开端。而太阳是阿波罗神，已经是第三代神祇了。月亮神名为塞勒涅，是黎明女神厄俄斯的姊妹。 显然，阿基米德大师的宇宙观与当时占希腊统治地位的宇宙观格格不入，相差十万八千里。阿基米德的知识如此超前，应该如何解释？
让我们回到现实中来。今年二月份，中国领导人习近平复信雅典大学维尔维达基斯教授等人，祝贺“中希文明互鉴中心”成立。这个鉴定中心大概是对文物进行鉴定。习在信中习写道，“中华文明源远流长，古希腊文明影响深远。2000多年前，中希两大文明在亚欧大陆两端交相辉映，为人类文明演进作出了奠基性的重大贡献”。这就说明，中国官方对希腊文明是持肯定态度的。但是，对古希腊文明真实性的讨论似乎并没有落下帷幕，官方的意见并不能完全代表学界意见，也很难替代这方面的学术讨论。。。。
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古希腊文明真伪探讨之三：谁能撬动地球？ 春暖花开：渥太华郁金香 地球上20%淡水流经这里 埃及艳后的图书馆被凯撒烧了 观查芸芸众生：海洋公园高空缆车希腊文明本身，即便没有任何文物流传，只看语言与文字就可以可知道，是曾经真实的存在。
If results such as theories of geometry were faked by Europeans during the Renaissance, then those Europeans were even more ingenious than as credited today. Either way, a win for them.
Archimedes' discovery of the law of buoyancy in the bathtub is indeed unreliable, most likely similar to the apple hitting Newton's head, and shouldn't be taken serious.
But Archimedes' lever for moving the earth is indeed very suspicious since it requires knowledge unlikely available.
Start with the few knowns. We know, as did the Ancient Greeks, that the Moon travels around the Earth at a constant speed—about 29 days per revolution. The diameter of the Earth is also known to be about 12,875 kilometers, or 8,000 miles. By tracking the movement of the Earth’s shadow across the Moon, Greek astronomers found that the Earth’s shadow was roughly 2.5 times the apparent size of the Moon and lasted roughly three hours from the first to last signs of the shadow.
From these measurements, it was simple geometry that allowed Aristarchus (circa 270 B.C.) to determined that the Moon was around 60 Earth radii away (about 386,243 km or 240,000 miles). This is quite close to the currently accepted figure of 60.3 radii.
You can follow Aristarchus’ method in your own backyard if you have a clear view of a Lunar eclipse. Track the movement of the Earth’s shadow on the Moon by drawing the changes and time the eclipse. Use your measurements to determine the Moon’s distance.
https://www.smithsonianmag.com/science-nature/how-to-measure-the-moon-this-weekend-2148989/#:~:text=From%20these%20measurements%2C%20it%20was,386%2C243%20km%20or%20240%2C000%20miles).?
柏拉图讲的度量衡标准，与亚里士多德讲的度量衡标准，与欧几里得讲的度量衡标准，与阿基米德讲的度量衡标准，是一样的吗？
欧几里得在给阿基米德讲授几何学的时候，使用的是哪一家的度量衡标准？答案是：明朝末年，号称翻译成汉字的《几何原本》中全是中国的度量衡标准！参阅：《几何原本》作者是徐光启，《同文算指》作者是李之藻
事实上，直到18世纪，欧洲大陆的各个国家内，都没有统一的度量衡标准。米、毫米、克、千克、毫升、升之类，是很晚近的玩意。
没有天文台，就不可能有历法；没有历法，就不可能知道今日为何年。既如此，现行古希腊史罗马史中的时间，从何而来？
https://www.bilibili.com/read/cv16619906/
讲道理：）
欧洲19世纪才统一度量衡，今天美国还是沿用古英国制度量衡。没有统一度量衡是不能准确测绘世界地图的。只有中国度量衡统一了两千年才能测绘世界地图。-李兆良
随便找几个网页你可以看看：
那个时代怎么知道地球是圆的呢？以及怎么知道地球直经的呢？
第一次科学地测量地球半径的人是公元前3世纪的埃拉托色尼（Eratosthenes）。[1]
公元前1世纪，希腊哲学家波希多尼用天文方法进行测量，修正了埃拉托色尼的结果。
https://zh.wikipedia.org/wiki/%E5%9C%B0%E7%90%83%E5%8D%8A%E5%BE%84
然后地月距离可以参照我上面给你的回帖，那个内容里有介绍。