Plane and Solid Geometry

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Page 90 - The projection of a point on a line is the foot of the perpendicular from the point to the line. Thus A
Page 127 - To draw a tangent to a given circle from a given point.
Page 295 - 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 74 - Prove analytically that the perpendiculars from the vertices of a triangle to the opposite sides meet in a point.
Page 37 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Page 159 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 225 - Theorem. If each of two intersecting planes is perpendicular to a third plane, their line of intersection is also perpendicular to that plane. Given two planes, Q, R, intersecting in OP, and each perpendicular to plane M. To prove that OP _L M.
Page 265 - A Plane Surface, or a Plane, is a surface in which if any two points are taken, the straight line which joins these points will lie wholly in the surface.
Page 94 - To construct a parallelogram equal to a given triangle and having one of its angles equal to a given angle.
Page 24 - ... 3. If two sides of a triangle are equal, the angles opposite these sides are equal ; and conversely.

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