Triples Applications Pythagorean by Kenneth Williams (7 results)

Paperback. Condition: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 1.1.

Condition: Very Good. 1722349509. 7/30/2024 2:25:09 PM.

Paperback. Condition: Brand New. 224 pages. 9.61x6.69x0.56 inches. In Stock.

Hardcover. Condition: New. Dust Jacket Included. First Thus Private Press. 168P. This book shows an original and highly effective way of unifyingmany branches of mathematics using Pythagorean triples and Vedic Maths. Asimple, elegant method for combining these triples gives unexpected andpowerful general methods for solving a wide range of mathematicalproblems. There are applications in trigonometry (you do not need any ofthose complicated formulae), coordinate geometry (2 and 3 dimensions),transformations (2 and 3 dimensions), simple harmonic motion, astronomyetc. Contents: 1 TRIPLES: The Triple Theorem; Some Historical Background;Notation for Triples; Equal, Prime and Complementary; Triples; SomePerfect Triples;2 TRIPLE ARITHMETIC; Addition of Triples; Double Angle;Triple Subtraction; Quadrant Angles; Triple Geometry; Angles of 30, 60,45 etc.; Half Angle; Simplifying Calculations; Summary. 3 TRIPLETRIGONOMETRY: Introduction; Inverse Functions; The General Triple;Solution of Trigonometrical Equations; Further Trigonometrical Equations-A; Further Trigonometrical Equations- B; Further Trigonometrical Equations-C. 4 TRANSFORMATIONS IN A PLANE: Transposition of the Origin; Rotations;Spirals; Integration of cosx etc.; Rotation of Lines and Curves;Reflections. 5 COORDINATE GEOMETRY: Length of Perpendicular; Foot ofPerpendicular; Angle between Two Lines; Equation of a Line; FurtherExamples. 6 CODE NUMBERS: Grouping Triples; Code Numbers; GeometricalSignificance of the Code Numbers; Code Number Pairs; Code Numbers asTriples; Algebraic Formulation; Converting Code Numbers to Triples;Converting Triples to Code Numbers; Addition and Subtraction of CodeNumbers; Code Numbers of Code Numbers; Code Numbers of ComplementaryTriples; Code Numbers of Supplementary Triples; Code Numbers for 0, 90,180, 270; Relation between Code Numbers and Angles; Further Examples;Summary. 7 SOLUTION OF TRIANGLES: Angle Deficiency Formula; The SineFormula; The Code Number Formula.8 FURTHER APPLICATIONS OF TRIPLES:Solution of Equations; Complex Numbers; Conics; Difference and Sum ofSquares; Incircles and Circumcircles; The Golden Triple; 9 ANGLES INPERFECT TRIPLES: Revision; Triples and Their Angles; Finding the Angle ina Given Triple; Further Applications of Code Numbers; Finding a Triplewith a Given Angle; A Refinement.10 SINE, COSINE, TANGENT & INVERSES:Sine, Cosine and Tangent; Inverse Cosine and Inverse Sine; InverseTangent.11 HYPERBOLIC FUNCTIONS: Addition and Subtraction; Double Angle;Equations. 12 APPLIED MATHS APPLICATIONS: Simple Harmonic Motion;Projectiles; Forces in Equilibrium; Work Done by a Force and Moment of aForce. 13 THE TRIPLE METHOD: Range of Application; Deriving theConventional Formulae; Two Comparisons of the Conventional and TripleMethods. 14 QUADRUPLES: Introduction; Quadruple Generators; Obtaining theCode Numbers of a Perfect Quadruple; The Coordinate Axes; QuadrupleSubtraction; Comparative Densities of Perfect Triples and Quadruples. 15APPLICATIONS OF QUADRUPLES: Coordinate Geometry; Work and Moment; Rotationabout Coordinate axis; 3-Dimensional Rotation of Curves; RotationConicoids. 16 QUADRUPLES IN ASTRONOMY: Addition of Perpendicular Triples.Change of Coordinate System; Quadruples and Orbits; Quadruple for given i,A; Inclination of Orbit; Quadruple Subtraction; Quadruple Addition;Doubling and Halving a Quadruple; Code Number Addition and Subtraction;Angle in a Quadruple; Angular Advance; Relationship between d, A; ToObtain a Quadruple with a Given Inclination. PROOFS. ANSWERS TO EXERCISES.REFERENCES. INDEX OF VEDIC FORMULAE. INDEX.

Paperback. Condition: Good. Dust Jacket Condition: no dj. Triples: Applications of Pythagorean Triples. Book.

Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 224 | Sprache: Englisch | Produktart: Bücher.

rilegato. Condition: Buono (Good). Condizioni discrete: copertina rigida, tagli ingialliti con piccole macchie, pagine ingiallite, sovraccoperta con segni di usura, libro in lingua inglese 172 9788120819573 Buono (Good) . Book.