How a geometric artboard constructs points inside a triangle

The specific steps are as follows:

1. Tectonic triangle ABC (the direction of the segment AB is from left to right), the point D is constructed on the edge ab.

Construct a triangular ABC and take a point D on AB

2. Select Point D, "metric"--"value of point" to get the point value measure (d is the trajectory active point). "Data"--"new parameter" with the name N, the value is 10, and the unit "none". (Number of lines in the internal trajectory)

Measure the value of the D point and create a new parameter n

3. Do the calculation of the following figure. The first calculation expands the point value n times to facilitate rounding. The second calculation takes the first calculated value and then divides it by N, and gets the integer point value (between 0 and 1) that is less than but closest to the value of D, to determine the position of the trajectory segment. The third computes the end of the end (between 0 and 1, as the scaling ratio of the trajectory point on a segment parallel to the side BC).

Perform the data--calculate command to calculate a value

4. Double click the point a mark as center, select point B, "transform"--"zoom", zoom value point to select the second computed value in step 3, get point E. Select Point e and side BC, "construct"-"parallel Lines", construct parallel lines and segment AC intersection F.

Scale point B and construct parallel lines of BC

5. Double click the dot e mark as center, select Point F, "transform"--"zoom", zoom value point to select the third computed value in step 3, get point G.

Zoom point F get point G sample

6. Select Point D and Point G, "construct"-"trajectory", construct point h on the trajectory.

Selected points D, G construction trajectory example

7. Increase the value of N and improve the trajectory sampling rate, point H is the only point that can be moved internally. (The larger the total length of the trajectory line, the higher the trajectory sampling rate is needed to ensure the trajectory density).

Change the value of N to improve trajectory sampling rate and point H can only move inside

Warm tip: Because the value of n is not infinite, so the trajectory is the internal dense parallel line of points on the set, point H can not really reach any position within the circle. This method can be migrated and applied to the construction of a variety of closed graphics interior points.