Omar Hacallar
I am trying to get people to get involved more in engineering, math and science. My goal is to have more people interested in a math-related career with the geometry material I have, how can I have a blog where I can do this.
I want students to know that public education for the most part is watered down, and needs to get back to the critical thinking of Socrates, Aristotle, Euclid, Thales, and other great thinkers, it seems some of my material is flagged
I wish more people would care as much as I do. Here are several excercises I would like to post.
Points, X, Y, and Z, which do not lie on a straight line, are each equidistant from the ends of segment xy, prove that x,y, and z determine a plane perpendicular to xy at its midpoint.
If a radius of a circle bisects a chord, it is perpendicular to the chord, and bisects the subtended arcs.
If a line is drawn from the center of a circle, to the midpoint of a chord it is perpendicular to the chord and if extended, it bisects the arcs subtended by the chord.
If a diameter of a circle bisects, the chords are parallel.
If a radius is perpendicular to the chord, it bisects the angle formed by joining the outer end of the radius to the ends of the chord.
If diameter CD is perpendicular to chord AB, prove that triangle ABC and triangle ADB are isosceles triangles.
Given Circle O, diameter EF, equal chords AB and CD intersect at G on EF. Prove CG equals GB.
If diameter AB bisects chords CD and EF (not diameters) at G and H, prove CD pearallel to EF.
If a hexagon is circumscribed about a circle, the sum of one set of alternate sides is equal to the sum of the other set.
From B, one end of diameter BC of a circle, equal chords BD and BE are drawn on opposite sides of AB, prove CD equals CE.
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