Norman Wildberger 用他的“有理三角学”把这一点推向了极致：https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T... 它完全抛弃了角度，只用比例。通过坚持使用“quadrances”（距离的平方；也就是勾股定理/欧氏距离但不求平方根）来避免开平方。我……
Norman Wildberger takes this to the extreme with Rational Trigonometry https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T... It eschews angles entirely, sticking to ratios. It avoids square roots by sticking to "quadrances" (squared distance; i.e. pythagoras/euclidean-distance without taking square roots). I…
我猜他就是写了《Divine Proportions: Rational Trigonometry to Universal Geometry》（https://www.goodreads.com/book/show/791022.Divine_Proportion...）的那个人，所以我估摸着大家没断章取义引用他的话。其实我挺喜欢《Divine Proportions》的。至于……
I presume he is the same one who authored "Divine Proportions: Rational Trigonometry to Universal Geometry" (https://www.goodreads.com/book/show/791022.Divine_Proportion...) so I suspect he is not misquoted. I actually quite liked "Divine Proportions". As far…
我最近在慢慢读 Norman J. Wildberger 写的《Divine Proportions: Rational Trigonometry to Universal Geometry》。Wildberger 是位数学家，也是个有穷主义者。这意味着他并不相信现代数学意义上的无穷大（我……
I've been slowly going through Divine Proportions: Rational Trigonometry to Universal Geometry, by Norman J. Wildberger. Wildberger is a mathematician, and a finitist. This means that he doesn't believe in infinity in the modern mathematical sense (I'm…
……应该会喜欢 Norman J. Wildberger 关于有理三角学[0]的研究，他也认为角度和单位圆根本就不适合作为定义三角形的切入点。[0] https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T...
…would like Norman J. Wildberger's work on rational trigonometry[0], which also argues that angles and unit circles are the wrong starting point for defining triangles. [0] https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T...
Norman Wildberger 用他的“有理三角学”把这一点推向了极致：https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T... 它完全抛弃了角度，只用比例。通过坚持使用“quadrances”（距离的平方；也就是勾股定理/欧氏距离但不求平方根）来避免开平方。我……
Norman Wildberger takes this to the extreme with Rational Trigonometry https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T... It eschews angles entirely, sticking to ratios. It avoids square roots by sticking to "quadrances" (squared distance; i.e. pythagoras/euclidean-distance without taking square roots). I…
我猜他就是写了《Divine Proportions: Rational Trigonometry to Universal Geometry》（https://www.goodreads.com/book/show/791022.Divine_Proportion...）的那个人，所以我估摸着大家没断章取义引用他的话。其实我挺喜欢《Divine Proportions》的。至于……
I presume he is the same one who authored "Divine Proportions: Rational Trigonometry to Universal Geometry" (https://www.goodreads.com/book/show/791022.Divine_Proportion...) so I suspect he is not misquoted. I actually quite liked "Divine Proportions". As far…
我最近在慢慢读 Norman J. Wildberger 写的《Divine Proportions: Rational Trigonometry to Universal Geometry》。Wildberger 是位数学家，也是个有穷主义者。这意味着他并不相信现代数学意义上的无穷大（我……
I've been slowly going through Divine Proportions: Rational Trigonometry to Universal Geometry, by Norman J. Wildberger. Wildberger is a mathematician, and a finitist. This means that he doesn't believe in infinity in the modern mathematical sense (I'm…
……应该会喜欢 Norman J. Wildberger 关于有理三角学[0]的研究，他也认为角度和单位圆根本就不适合作为定义三角形的切入点。[0] https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T...
…would like Norman J. Wildberger's work on rational trigonometry[0], which also argues that angles and unit circles are the wrong starting point for defining triangles. [0] https://en.wikipedia.org/wiki/Divine_Proportions:_Rational_T...