By M. N. Aref
In line with classical rules, this publication is meant for a moment path in Euclidean geometry and will be used as a refresher. Each chapter covers a distinct element of Euclidean geometry, lists proper theorems and corollaries, and states and proves many propositions. contains greater than two hundred difficulties, tricks, and strategies. 1968 version.
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Example text
The adjacent to the exterior angle other two interior angles, and B, are called opposite; A interior angles. Scalene. Isosceles. A Equilateral. called, with reference to its sides, a triangle scalene triangle when no two of its sides are equal an isos an equilateral celes triangle, when two of its sides are equal 129, is ; ; triangle, when its three sides are equal. Obtuse. Right. 130, A triangle, triangle when one Acute. with reference to Equiangular. angles, a right an obtuse of its angles is a right angle is called, its ; TEIANGLES.
A, ). Ax. Take away from each of these equals the common Z OCB -Z ACP. Then In like manner we 1 Z OCA. Ax. 3 may prove Q. E. D. 96. COR. the If one of the four angles formed by of two straight right angles. lines is a intersection the other three angles are right angle, THE STRAIGHT LINE. THEOREM. PROPOSITION V. 97. From a 21 point without a straight line one per pendicular, and only can be drawn one, to this line. JT / C D\ \ V Let P be the point and AB the line. To prove that one perpendicular, and only from Pto AB.
Corollary. adjacent. identical. . construction. supplementary. therefore. Sup. angle. Sup. -adj. supplementary. Ext. -int. exterior-interior. Bangles. . _L perpendicular. -int. Jl perpendiculars. Ex. II parallel. lie parallels. A triangle. A triangles. O definition. . Hyp. = > circles. circle. parallelogram. 17 parallelograms. alternate-interior. rt right. D. F. exercise. straight. . , quod erat demonstrandum, which was to be proved. quod erat faciendum, which was to be done. PLANE GEOMETRY.