# Plane Geometry

Macmillan Company, 1911 - Geometry, Modern - 233 pages

### Popular passages

Page 144 - If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other.
Page 146 - If } from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment.
Page 163 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 43 - If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Page 87 - To measure a quantity is to find how many times it contains another quantity of the same kind, called a unit of measurement.
Page 29 - The median to the base of an isosceles triangle is perpendicular to the base.
Page 139 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 176 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Page 162 - The areas of two rectangles are to each other as the products of their bases and altitudes. Hyp. Rectangles R and R' have the bases b and b' and the altitudes a and a
Page 42 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle. [Converse of Prop.