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Pythagorean Triangle Connections
Colin Gardner
出版
Colin Gardner
, 2000-12
主題
Mathematics / General
Self-Help / General
ISBN
0615118518
9780615118512
URL
http://books.google.com.hk/books?id=UeuPAAAACAAJ&hl=&source=gbs_api
註釋
Contains newly developed equations, tables, relationships,characteristics, tetrahedron examples, finding sides of triangles without a square root or angle info & procedures for computing all-integer PRIME Pythagorean (a) triangles, & (b) combination of sides (PN1 + QN2 + RN3) in algebraic & trigonometric form. Three NEW equations compute all 3 INTEGER sides for any right triangle leg equal to or greater than 3. Multiple equations are given for placing FRACTIONS on all sides of right triangles. Only one equation is needed to solve for three unknowns (N1,N2, & N3) in PN1 + QN2 + RN3 = an INTEGER. An INFINITY of equations (each giving the same answer) are given for (a) sides of Pythagorean triangles, (b) combination of triangle sides, (c) FRACTIONS on triangle sides, & (d) trigonometric functions like sine & tangent A/2. Four new parameters (S,L,K,T) are given for the quadratic equation. Twenty IDENTICAL triangles with parameters S,L,K,T & P,Q,R & quadratic equation coefficents a,b,c are given. Equations that permit the quadratic equation radical (bb-4ac) to become the square of any INTEGER of your choice are given. Equations to develop & solve quadratic, double quadratic & cubic equations having Pythagorean triangle sides as solutions are given. Equations to recreate the smallest Pythagorean triangle sides by using only trigonometric functions are given.
