## Plane and Solid Geometry |

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### Common terms and phrases

ABCD adjacent altitude base bisector bisects called chord circle circumference circumscribed coincide common cone consequent Construct contained corresponding cylinder Data describe diagonals diameter difference dihedral angles direction distance divide Draw drawn edges equal equal circles equidistant equivalent exterior angle extremities faces figure Find formed frustum given given point greater half Hence homologous included inscribed intercepted intersecting isosceles triangle joining lateral length less limit mean measured meet middle point opposite sides parallel parallel lines parallelogram pass perimeter perpendicular plane polygon prism Problem produced Proof proportion Proposition prove pyramid quadrilateral radii radius ratio rectangle reference regular respectively right angle right triangle secant segment sides similar Solution sphere square straight line subtended SUGGESTION surface tangent Theorem third triangle unequal vertex vertical angle volume

### Popular passages

Page 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.

Page 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Page 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...

Page 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...

Page 124 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.

Page 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.

Page 27 - The perpendicular is the shortest line that can be drawn from a point to a straight line.

Page 215 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.

Page 134 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.

Page 88 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.