Determinazione geometrica di segmenti la cui misura, 
rapportata a una data unità di misura, è il valore  
numerico delle radici quadrate di alcuni numeri interi. 

\frac{C_{n}H}{AH}=\sqrt{n}

A = (1, 1)
B_7 = (10, 1)
f = Segment(A, B_7)
B_3 = Midpoint(f)
B_1 = Midpoint(A, B_3)
H = Midpoint(A, B_1)
B_2 = Midpoint(B_1, B_3)
B_5 = Midpoint(B_3, B_7)
B_6 = Midpoint(B_5, B_7)
B_4 = Midpoint(B_3, B_5)
c = Semicircle(A, B_7)
d = Semicircle(B_6, A)
e = Semicircle(A, B_5)
g = Semicircle(B_4, A)
h = Semicircle(A, B_3)
k = Semicircle(B_2, A)
p = Semicircle(A, B_1)
i = OrthogonalLine(H, f)
C_1 = Intersect(p, i, 1)
C_2 = Intersect(k, i, 1)
C_3 = Intersect(h, i, 1)
C_5 = Intersect(e, i, 1)
C_7 = Intersect(c, i, 1)
C_4 = Intersect(g, i, 1)
C_6 = Intersect(d, i, 1)
j = Segment(A, H)
l = Segment(C_1, H)
m = Segment(C_3, H)
n = Segment(C_5, H)
q = Segment(C_7, H)
r = Segment(C_2, H)
s = Segment(C_4, H)
t = Segment(C_6, H)
r1: l / j
a = Segment(H, C_2)
b = Segment(H, C_4)
f_1 = Segment(H, C_6)
r2: a / j
r3: m / j
r4: b / j
r5: n / j
r6: f_1 / j
r7: q / j
testo3: "\frac{C_{2}H}{AH}=\sqrt{2}=" + (LaTeX[r2]) + ""
testo4: "\frac{C_{3}H}{AH}=\sqrt{3}= " + (LaTeX[r3]) + ""
testo5: "\frac{C_{4}H}{AH}=\sqrt{4}= " + (LaTeX[r4]) + ""
testo7: "\frac{C_{6}H}{AH}=\sqrt{6}= " + (LaTeX[r6]) + ""
testo6: "\frac{C_{5}H}{AH}=\sqrt{5}= " + (LaTeX[r5]) + ""
testo8: "\frac{C_{7}H}{AH}=\sqrt{7}= " + (LaTeX[r7]) + ""