Plane and Solid Geometry

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Page 174 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.
Page 93 - Any two sides of a triangle are together greater than the third side.
Page 137 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Page 48 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.
Page 306 - a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The ends of the axis are called the poles of the circle.
Page 108 - A line perpendicular to a radius at its extremity is tangent to the circle.
Page 67 - If two triangles have two sides of the one equal to two sides of the...
Page 321 - The sum of the angles of a spherical triangle is greater than two and less than six right angles ; that is, greater than 180 and less than 540. (gr). If A'B'C' is the polar triangle of ABC...
Page 158 - 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 68 - The perpendicular is the shortest line that can be drawn from a point to a straight line.

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