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Anonymous
Has math finally be had? 2016-11-17 17:47:41 Post No. 8479968
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Has math finally be had? 2016-11-17 17:47:41 Post No. 8479968
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What precisely is an angle??
The problem is that defining an angle correctly requires calculus. This is a point implicit in Archimedes’ derivation of the length of the circumference of a circle, using an infinite sequence of successively refined approximations with regular polygons. It is also supported by the fact that The Elements [Euclid] does not try to measure angles, with the exception of right angles and some related special cases. Further evidence can be found in the universal reluctance of traditional texts to spell out a clear definition of this supposedly ‘basic’ concept.
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>A relative measure of the degree of rotation from one line segment to another
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You run into the same road blocks as you would defining any "basic" object and you usually rely on some axiom of measure. This is not exactly some big deal
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>>8479968
It's why real geometers use turn, spread, cross, and twist.
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>>8479968
>What precisely is an angle??
A plane angle is defined in a circle as arc length divided by radius, a dimensionless measure.
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You can define them by an integral or by the inner product of your space.
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>>8479968
>look up proof of 1 + 1 = 2
>its like 2 pages long of nearly unreadable shit
Sometimes its better to just accept the definition of simple concepts.
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>>8479968
>What precisely is an angle??
Ain't those the flash light bird niggas from the bible?
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