## Plane and Solid Geometry |

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### Common terms and phrases

AABC ABCD altitude angles are equal apothem base bisector bisects called chord circular cone circumference circumscribed coincide congruent construct COROLLARY corresponding sides diagonal diameter dihedral angles distance divide draw equiangular equilateral triangle equivalent EXERCISE exterior angle face angles figure Find the area Find the locus Find the volume frustum given circle given line given point Given the triangle greater hypotenuse intersecting isosceles triangle lateral area lune measured by arc mid-point number of sides parallel lines parallelogram perimeter perpendicular plane geometry plane MN polyhedral angle polyhedron prism Proof proportional PROPOSITION prove quadrilateral radii radius ratio rectangle rectangular parallelepiped regular polygon regular pyramid right angle right triangle secant segments slant height sphere spherical polygon spherical triangle square straight angle straight line surface tangent THEOREM triangle ABC trihedral vertex vertices

### Popular passages

Page 1 - Pythagorean theorem, which states that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.

Page 292 - The line joining the mid-points of two sides of a triangle is parallel to the third side, and equal to half the third side.

Page 360 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.

Page 201 - 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 54 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.

Page 190 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.

Page 152 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.

Page 162 - The bisector of an angle of a triangle divides the opposite side into segments which are proportional to the adjacent sides.

Page 100 - In the same circle or in equal circles, if two chords are unequal, they are unequally distant from the center, and the greater chord is at the less distance.

Page 51 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.