diff --git a/simu-lora/img/area_calculus.png b/simu-lora/img/area_calculus.png new file mode 100644 index 0000000..7c20677 Binary files /dev/null and b/simu-lora/img/area_calculus.png differ diff --git a/simu-lora/img/area_triangle_circle.png b/simu-lora/img/area_triangle_circle.png new file mode 100644 index 0000000..40a4a80 Binary files /dev/null and b/simu-lora/img/area_triangle_circle.png differ diff --git a/simu-lora/img/circle_area.png b/simu-lora/img/circle_area.png new file mode 100644 index 0000000..c4bf038 Binary files /dev/null and b/simu-lora/img/circle_area.png differ diff --git a/simu-lora/img/intersect.png b/simu-lora/img/intersect.png new file mode 100644 index 0000000..2e2463d Binary files /dev/null and b/simu-lora/img/intersect.png differ diff --git a/simu-lora/triangle.py b/simu-lora/triangle.py new file mode 100644 index 0000000..fb98360 --- /dev/null +++ b/simu-lora/triangle.py @@ -0,0 +1,43 @@ +import math + +def side(a, b): + return math.sqrt(math.pow(b[0]-a[0],2)+math.pow(b[1]-a[1],2)) + +def heron(a, b, c): + s=0.5*(a+b+c) + return math.sqrt(s*((s-a)*(s-b)*(s-c))) + +def circle_triangle(a): + return math.asin(a/2)-((a/4)*math.sqrt(4-math.pow(a,2))) + +A = (1,1) +B = (2.5,1) +C = (2,2) + +## Using the algorithm provided in the document... find the intersections + +A_intersec = (1.51,1.13) +B_intersec = (2,1) +C_intersec = (1.75,1.66) + +## Calcul des longueurs via distance euclidienne +AB=side(A_intersec,B_intersec) +BC=side(B_intersec,C_intersec) +CA=side(C_intersec,A_intersec) + +## Formule de Héron +triangle_area=heron(AB,BC,CA) + +## Calcul des cercles autour des triangles +c_AB = circle_triangle(AB) +c_BC = circle_triangle(BC) +c_CA = circle_triangle(CA) +print(c_AB) +print(c_BC) +print(c_CA) + +area = triangle_area + c_AB + c_BC + c_CA + +print(f"Triangle area: {heron(side(A,B),side(B,C),side(C,A))}") +print(f"Intersection triangle area: {triangle_area}") +print(f"Total area: {area}")