1. IntroductionThe construction of

1. Introduction
The construction of an interesting geometric figure is best carried out after an
analysis. For example, given a triangle ABC, how does one construct a point P
through which the parallels to the three sides make equal intercepts? A very simple
analysis of this question can be found in [6, 7]. It is shown that there is only one
such point P, 1 which has homogeneous barycentric coordinates
(
1
b
+
1
c
− 1
a
:
1
c
+
1
a
− 1
b
:
1
a
+
1
b
− 1
c
) ∼ (ca+ab−bc : ab+bc−ca : bc+ca−ab).
This leads to a very easy construction of the point 2 and its three equal parallel
intercepts. See Figure 1. An interesting variation is to consider equal “semi-parallel

ผลลัพธ์ (อังกฤษ) 2:

1. Introduction
The Construction of an Interesting geometric figure is carried out after an Best
Analysis. For example, a Triangle Given ABC, How does one Construct a Point P
Through Parallels to the Three sides which the Make Equal intercepts? A very Simple
Analysis of this question Can be Found in [6, 7]. It is shown that there is only one
such Point P, 1 which has homogeneous barycentric Coordinates
(
1
B
+
1
C
- 1
a
:
1
C
+
1
a
- 1
B
:
1
a
+
1
B
- 1
C
) ~ (CA +. AB-BC: AB + BC-CA: CA-AB + BC).
This Leads to a very Easy Construction of the Three Point 2 and its parallel Equal
intercepts. See Figure 1. An interesting variation is to consider equal "semi-parallel.