## New Elementary Geometry, with Practical Applications |

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A B C D ABCD altitude Arithmetics axis base called chord circle circumference circumscribed common cone consequently construct containing convex surface cylinder described diagonal diameter difference distance divided draw drawn edges entire equal equal bases equal Theo equivalent Exercises faces feet figure formed four frustum given greater Greenleaf's hence homologous inches included inscribed intersection joining length less magnitudes Mathematical mean proportional measured meet opposite parallel parallelogram parallelopipedon pass perimeter perpendicular plane polygon practical Principal prism PROBLEM pyramid radii radius ratio rectangle rectangular represented right angles rods School Series side A B sides similar slant hight Solid sphere square square feet straight line Theo THEOREM third triangles triangles A B C triangular vertex volume whole

### 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.