Forward Intersection

11172016, 02:39 PM
(This post was last modified: 11172016 02:40 PM by Eddie W. Shore.)
Post: #1




Forward Intersection
Introduction
The program FORDINT calculates the third point on a triangle where the coordinates of points A (xa, xb) and B (xb, yb) are known. Also, a line towards P point is aimed from point A at angle α° and from point B at angle β°. Formulas: Output is point P: xp = (xa cot β + xb cot α + (yb – ya))/(cot α + cot β) yp = (ya cot β + yb cot α + (xa  xb))/(cot α + cot β) γ = 180°  α  β cot θ = 1/tan θ Note that FORDINT will set the calculator to Degrees mode. HP Prime Program FORDINT Input: xa, ya, α, xb, yb, β Output: 3 element list: {xp, yp, γ} and Degrees mode is set Code: EXPORT FORDINT(xa,ya,a,xb,yb,b) Link to my blog entry: http://edspi31415.blogspot.com/2016/11/h...rward.html Example: Point A: (1000, 950), angle towards point P: 30° Point B: (1012, 997), angle towards point P: 44° Result: Point P: (approximately) (1024.49237, 975.078358) Angle γ: 106° Source: Casio. Casio fxFD10 Pro User’s Guide Tokyo. 2014 

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