Construction in GCLC language
dim 120 120
point A 80 95
point C 110 40
point T_{a} 70.86 40
color 220 0 0
fontsize 11
cmark_t A
cmark_b C
cmark_b T_{a}
color 0 0 0
fontsize 10
% DET: points A and C are not the same
% Constructing a line b which passes through point A and point C
line b A C
color 200 200 200
drawline b
color 0 0 0
% DET: points C and T_{a} are not the same
% Constructing a line a which passes through point C and point T_{a}
line a C T_{a}
color 200 200 200
drawline a
color 0 0 0
% NDG: point T_{a} is not incident to the line b
% Constructing a point P_{\_G6908} which is a foot of the point T_{a} on the line b
foot P_{\_G6908} T_{a} b
cmark_r P_{\_G6908}
color 200 200 200
drawline T_{a} P_{\_G6908}
color 0 0 0
% Constructing a circle k(T_{a},foot[T_{a},c]) whose center is at point T_{a} and which passes through point P_{\_G6908}
circle k(T_{a},foot[T_{a},c]) T_{a} P_{\_G6908}
color 200 200 200
drawcircle k(T_{a},foot[T_{a},c])
color 0 0 0
% NDG: point A is outside the circle k(T_{a},foot[T_{a},c])
% Constructing a point P_{\_G7299} which is a foot of the point T_{a} on the line b
foot P_{\_G7299} T_{a} b
cmark_r P_{\_G7299}
color 200 200 200
drawline T_{a} P_{\_G7299}
color 0 0 0
% Constructing a line L_{\_G7302} which passes through point T_{a} and point A
line L_{\_G7302} T_{a} A
color 200 200 200
drawline L_{\_G7302}
color 0 0 0
% Constructing a point P_{\_G7305} which is an image of the point P_{\_G7299} in the symmetry to point/line L_{\_G7302}
sim P_{\_G7305} L_{\_G7302} P_{\_G7299}
cmark_r P_{\_G7305}
% Constructing a line c which passes through point A and point P_{\_G7305}
line c A P_{\_G7305}
color 200 200 200
drawline c
color 0 0 0
% NDG: lines c and a are not parallel% DET: lines c and a are not the same
% Constructing a point B which belongs to line c and line a
intersec B c a
cmark_b B
drawsegment A B
drawsegment A C
drawsegment B C
% Non-degenerate conditions: lines c and a are not parallel; point A is outside the circle k(T_{a},foot[T_{a},c]); point T_{a} is not incident to the line b
% Determination conditions: lines c and a are not the same; points C and T_{a} are not the same; points A and C are not the same