Macro Triangle AH/it

Descrizione

Questa macro crea un triangolo isoscele dati l'angolo e l'altezza (il vertice è posizionato nel punto 0,0,0)

Uso

Copiare la macro Triangolo AH nella console Python di FreeCAD e digitare:

triangleAH(angle=90, height=10)
# or
triangleAH(90, 10)
# or
triangleAH(45, hypo=10)
# or
triangleAH(90, base=10) 

Script

Macro_triangleAH.FCMacro

__title__   = "triangleAH"
__author__  = "Mario52"
__version__ = "00.02"
__date__    = "03/05/2015"
# Give angle and on choice : height or base or hypo
from math import cos, sin, tan, degrees, radians, sqrt
import Draft, Part
def triangleAH(angle, height=0.0, base=0.0, hypo=0.0):
    def line_length(x1 = 0.0, y1 = 0.0, z1 = 0.0, length = 10.0, angle2 = 0.0):  # search coordinates
        x2 = x1 + (length * cos(radians(angle2)))
        y2 = y1 + (length * sin(radians(angle2)))
        z2 = z1 #+ ()
        return x2,y2,z2                                                          # return coordinates (xyz) to point
 
    x0 = y0 = z0 = 0.0
    angle = float(angle)
    height = float(height)
    base = float(base)

    if base != 0:
        height = ( (base/2) / (tan(radians(angle/2))) )                          # imposing base and calculate height
    if hypo != 0:
        height = hypo * (cos(radians(angle/2)))                                  # imposing hypo and calculate height 
    else:
        hypo = height / cos(radians(angle/2))                                    # calculate hypotenuse
    if base==0:                                                                  # base of triangle
        base = (tan(radians(angle/2) ) * height) * 2                             # calculate base

    a0 = line_length(x1=x0,y1=y0,z1=z0,length=height,angle2=0 )                  # coord height of triangle
    a0 = line_length(x1=x0,y1=y0,z1=z0,length=0, angle2 = angle )                # point 0 (begin vertex)
    a  = line_length(x1=a0[0],y1=a0[1],z1=a0[2],length= hypo, angle2=-(angle/2)) #
    b  = line_length(a[0],a[1],a[2],length= (abs(a[1])*2), angle2=90.0)          # base of triangle = (abs(a[1])*2)

    print "angle theet : ", angle
    print "angles base : (", (180-angle)/2,"),(",(180-angle)/2,")"
    print "height      : ", height
    print "base        : ", base
    print "hypotenuse  : ", hypo
    print "surface     : ", (base * height) / 2
    print "_________________________"
    return Draft.makeWire([FreeCAD.Vector(a0),FreeCAD.Vector(a),FreeCAD.Vector(b)],closed=True,face=True,support=None) # create triangle 

Version

ver 00.02 03/05/2015 : adding "base=0.0", "hypo=0.0" and print data of triangle

ver 00.01 20/03/2015 :