Resistors in parallel construction

Results

Resistors in Parallel

R_1 = Point(yAxis)
R_3 = Point(yAxis)
R_4 = Point(yAxis)
R_2 = Point(xAxis)
b = Segment(R_1, R_2)
E = Intersect(b, a)
c = OrthogonalLine(E, xAxis)
R_{12} = Intersect(c, xAxis)
d = Segment(E, R_{12})
e = Segment(R_3, R_{12})
G = Intersect(e, a)
f = OrthogonalLine(G, xAxis)
R_{123} = Intersect(f, xAxis)
g = Segment(G, R_{123})
h = Segment(R_{123}, R_4)
I = Intersect(h, a)
i = OrthogonalLine(I, xAxis)
R_{1234} = Intersect(i, xAxis)
j = Segment(I, R_{1234})
A = Intersect(yAxis, xAxis)
OR1 = Distance(A, R_1)
OR2 = Distance(A, R_2)
OR3 = Distance(A, R_3)
OR4 = Distance(A, R_4)
OR12 = Distance(A, R_{12})
OR123 = Distance(A, R_{123})
OR1234 = Distance(A, R_{1234})
text1: "\frac{1}{R_{12}}=\frac{1}{" + (LaTeX[OR12]) + "}≡\frac{1}{" + (LaTeX[OR1]) + "}+\frac{1}{" + (LaTeX[OR2]) + "}=\frac{1}{R_1}+\frac{1}{R_2}"
text2: "\frac{1}{R_{123}}=\frac{1}{" + (LaTeX[OR123]) + " }≡\frac{1}{" + (LaTeX[OR1]) + " }+\frac{1}{" + (LaTeX[OR2]) + " }+\frac{1}{" + (LaTeX[OR3]) + " }=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}"
text3: "\frac{1}{R_{1234}}=\frac{1}{ " + (LaTeX[OR1234]) + " }≡\frac{1}{  " + (LaTeX[OR1]) + "}+\frac{1}{" + (LaTeX[OR2]) + "  }+\frac{1}{ " + (LaTeX[OR3]) + " }+\frac{1}{" + (LaTeX[OR4]) + "}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}"
k = false