Historical Resolution of the Mathematical Structure of Modern Trigonometry at 1:3 Pythagoras (360/19) (Revision of Isaac Newton's Fallacy of Trigonometry.)

This paper is geared towards the students and admirers of Sir Isaac Newton, to assert by this paper, almost after 400 years; to remind him and them; that it is mathematically imprecise to calculate a curve or area of a circle, without the parity of numbers equations with correct trigonometry and equations of numbers, aligned to the great theorem of Pythagoras, specially Pythagoras 1:3, which is the keel of the universe of mathematics at subtended angle 360/19 degrees. The inverse curvature of the universe of mathematics ( Universe itself) is precisely related to Pythagoras 1:1; 1:3 ; 1:5 as shown in this paper using the correct value of 360/19 degrees at Pythagoras 1:3; is easily mathematically plotted and as herein published, and Newton’s attempt to describe curvatures by linear numbers equation is at best approximate. The horizons and the curvature of the universe are precise based on non-linear equations, not approximate as per the rumination of Newton, as in the proof in the previous published paper (Divestiture of mathematics), 360/19 is the correct value in degrees at 1:3 Pythagoras which should have been suspected by the great master of mathematics Newton. The world of mathematics must come to terms with numbers and trigonometric diversions of Pythagoras. The intent is not to challenge the methods of Sir Isaac Newton, but to assert that on what mathematics he based his apparent logical approximations, that basis of mathematics is flawed; given that degrees as defined in the mathematics are precisely concordant with numbers( (360/2)/3=60 precise), representing the constant factor 6. The author maintains in this paper and the previously published paper the following, and provides ample mathematical proof of the keel value of Pythagoras 1:3. 1.1 Pythagoras=360/8=45 (90/2) degrees subtended 1:2 Pythagoras=360/16=22.5 (90/4) degrees subtended 1:3 Pythagoras=360/19= 18.94736842105(90/4.75) degrees, subtended 1.4 Pythagoras=360/24=15 degrees (90/6), subtended 1:5 Pythagoras=360/30= 12 (90/7.5) degrees, subtended (90/7.5) 1:6 Pythagoras=360/38 degrees subtended For Pythagoras1:1;1:3;1:5, the arithmetic is simple and further proven under methods, as from above a factor of 90 degrees (4.75-2) = (7.5-4.75). Journal of Progressive Research in Mathematics(JPRM) ISSN: 2395-0218 Volume 5, Issue 4 available at www.scitecresearch.com/journals/index.php/jprm 625 The fundamental precise mathematical parity of the above Pythagorean precision is defined by the mathematical premise not understood by the approximation of Isaac Newton’s understanding of mathematics that degrees and numbers as understood currently .The revision is as follows = ( − ) ( − ) . : @1: 3 (22.5 degrees is the subtended angle at Pythagoras 1:2 :) It is a precise mathematical parity of numbers, that 1 + 2 + 3 3 + 4 + 5 = 0.5, 1: 3 By a simple arithmetic factor of 360 degrees the subtended Pythagoras 1:1; 1:3; 1:5(360/8; 360/19; 360/30): see resolution below in the methods section (3.75). Degrees must be concordant with numbers without exception. 19-8=11 30-19=11 30 ∗ 19 19 ∗ 8 = .