## New Elementary Geometry, with Practical Applications |

### Other editions - View all

### Common terms and phrases

ABCD ABCDEF alternate angles altitude angles A CD antecedent arc A B Arithmetics B A C base multiplied bisect circle circumference cone convex surface cylinder D E F diagonal diameter divided draw the straight Elementary Algebra equal and parallel equal angles equal bases equal Theo equiangular equivalent formed frustum given straight line greater half the sum homologous sides hypothenuse inches included angle inscribed angle inscribed circle interior angles intersection line CD magnitudes mean proportional measured by half number of sides parallelogram parallelopipedon perimeter perpendicular prism PROBLEM quadrilateral radii radius ratio rectangle rectangular regular polygon Required the area rhombus right angles Theo Scholium School secant line side A B side B C slant hight Solid sphere square described tangent THEOREM triangles A B C triangular prism vertex

### Popular passages

Page 22 - If two triangles have two sides of the one equal to two sides of the...

Page 29 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 83 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing these angles proportional, are similar.

Page 61 - At a point in a given straight line to make an angle equal to a given angle.

Page 47 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.

Page 88 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.

Page 126 - The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'.

Page 117 - If two angles not in the same plane have their sides parallel and lying in the same direction, these angles will be equal, and their planes will be parallel.

Page 26 - If a straight line falling upon two other straight lines, make the exterior angle equal to the interior and opposite upon the same side of the line...

Page 41 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.