## Plane and Solid Geometry |

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### Common terms and phrases

ABC and DEF ABCD adjacent angles altitude angle formed angles are equal angles compare apothem bisector bisects called chord circumference circumscribed compare in length cone of revolution Data diagonals diameter dihedral angles distance divide Draw equal circles equidistant equilateral triangle exterior extremities face angles FGHJK frustum given line given point given triangle Hence homologous sides hypotenuse inscribed angle intercepted interior angles intersecting isosceles triangle lateral edges line parallel line perpendicular measure middle point number of sides opposite sides parallel lines parallelogram pass a plane perimeter polyhedral angle polyhedron prism produced prove pyramid q.e.d. Proposition q.e.f. Proof quadrilateral radii radius ratio rect rectangle formed rectangular parallelopiped regular polygon respectively rhombus right angles right triangle secant segments slant height sphere spherical polygon spherical triangle subtended tangent tetrahedrons Theorem third side transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume

### Popular passages

Page 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.

Page 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.

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 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 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 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.

Page 83 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.

Page 47 - In an isosceles triangle the angles opposite the equal sides are equal.

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 90 - 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.