Plane Geometry

Cover Plane Geometry
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Isosceles Triangles. Equilateral Triangles. Definition.
Theorem VII. In an isosceles triangle the angles opposite the equal sides are equal.
Corollary. If a triangle is equilateral it is also equiangular.
Perpendicular lines. Definition.
Corollary. At a point in a line only one perpendicular can be erected to that line.
Theorem VIII. Every point in the perpendicular bisector of a straight line is equidistant from the ends of the line.
Theorem IX. If two triangles have three sides of the one equ
...al re- spectively to the three sides of the other, the triangles are congruent.
Constructions.
Circumference. Assumptions with regard to circumferences.
80 PLANE GEOMETRY III, 91 Problem I. To construct a triangle when three sides are given.
Problem II. To construct a triangle congruent to a given triangle.
This is another form of Problem I.
Theorem X. The sum of two sides of a triangle must be greater than third side and their difference less than the third side.
Problem III. To bisect a given angle.


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