Commemorate
发表于 2025-3-25 07:18:19
https://doi.org/10.1007/978-3-658-18133-8it is evident that all ruler and compass constructions are possible by paperfolding. However, Sundara Row’s angle trisection is admittedly only an approximation and he mistakenly implies that constructing a cube root is impossible in general and, in particular, that the duplication of the cube canno
Virtues
发表于 2025-3-25 08:56:27
http://reply.papertrans.cn/39/3835/383489/383489_22.png
olfction
发表于 2025-3-25 13:58:04
http://reply.papertrans.cn/39/3835/383489/383489_23.png
巨硕
发表于 2025-3-25 16:18:27
http://reply.papertrans.cn/39/3835/383489/383489_24.png
macrophage
发表于 2025-3-25 22:44:19
Euclidean Constructions,ed Cleopatra’s City. Even then, while Rome was at its height, Alexandria remained the intellectual capital of the Empire. Alexandria was a major influence for a thousand years, from the time of Euclid in 300 BC until the fall of Alexandria to the Arabs in AD 641. Greek mathematics is mostly a produc
chisel
发表于 2025-3-26 01:11:18
The Ruler and Compass,ed the algebra to prove this fact. Our task is to prove the ancient Greeks necessarily failed because they were asking for the impossible. To do this, we must formulate our problems in the language of algebra.
moratorium
发表于 2025-3-26 07:25:08
http://reply.papertrans.cn/39/3835/383489/383489_27.png
Celiac-Plexus
发表于 2025-3-26 10:26:27
http://reply.papertrans.cn/39/3835/383489/383489_28.png
健谈
发表于 2025-3-26 14:27:20
The Marked Ruler,oncelet-Steiner Theorem now implies all the ruler and compass constructions are possible with the marked ruler alone. The characteristic use of the marked ruler is called . or .. Given point . and two lines . and ., by . we determine two points . and . that are one unit apart and such that . is on ,
nascent
发表于 2025-3-26 19:53:20
Textbook 1998ruler and dividers, using a marked rule, using a tomahawk, and ending with a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics. He hopes that readers will learn a little geometry and a littl