## Plane Geometry |

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### Contents

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### Common terms and phrases

AABC ABCD altitude Analysis and construction angle axis base bisector bisects called chord circle circular circumscribed coincide common Conclusion cone congruent construct contains corresponding cylinder definition diagonals diameter dihedral angles distance divided Draw drawn edges equal equally distant equivalent EXERCISES faces figure Find Find the area formed geometry give given line given point Hypothesis Illustration inscribed intersect isosceles triangle joining lateral length Let the pupil locus mean measure meet method mid-point NOTE opposite parallel parallelogram passes perimeter perpendicular placed plane polygon prism PROBLEM proof proportional prove pyramid radius ratio rectangle regular regular polygon respectively right angles right triangle segments Show sides similar solid sphere spherical square straight line Suggestion surface symmetric tangent TEST THEOREM third triangle unit vertex vertices volume

### Popular passages

Page 87 - The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them.

Page 300 - Square Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq.

Page 193 - The perpendicular bisectors of the sides of a triangle are concurrent at a point which is equally distant from the vertices.

Page 186 - The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.

Page 198 - The area of a trapezoid is equal to one-half the product of the altitude and the sum of the bases. THEOREM 116. Two parallelograms or two triangles are equivalent if 1. They have equal bases and are between the same parallels. 2. a = a

Page 180 - LENGTH 12 inches (in.) = 1 foot (ft.) 3 feet = 1 yard (yd.) 5| yards = 1 rod (rd.) 320 rods = 1 mile (mi.) 1 mile = 1,760 yd.

Page 185 - The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle, and likewise the external bisector externally.

Page 196 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.

Page 192 - An angle formed by a tangent and a chord is measured by onehalf the intercepted arc.

Page 245 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.