Divine Proportions: Rational Trigonometry To Un... Now

: Replaces the Triangle Inequality. For three points to be collinear, their quadrances must satisfy:

s=QoppositeQhypotenuses equals the fraction with numerator cap Q sub o p p o s i t e end-sub and denominator cap Q sub h y p o t e n u s e end-sub end-fraction The spread ranges from indicates parallel lines and indicates perpendicular lines. 3. Apply the Main Laws Divine Proportions: Rational Trigonometry to Un...

: Computers are much faster at adding and multiplying than calculating trigonometric series. : Replaces the Triangle Inequality

s1Q1=s2Q2=s3Q3the fraction with numerator s sub 1 and denominator cap Q sub 1 end-fraction equals the fraction with numerator s sub 2 and denominator cap Q sub 2 end-fraction equals the fraction with numerator s sub 3 and denominator cap Q sub 3 end-fraction Apply the Main Laws : Computers are much

In rational trigonometry, we do not use "distance" (which often involves square roots). Instead, we use ( ), which is the square of the distance. For two points