## New Elementary Geometry: With Practical Applications; a Shorter Course, Upon the Basis of the Larger Work |

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

### Popular passages

Page 23 - 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 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 85 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.

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

Page 57 - The angle formed by a tangent and a chord is measured by half the intercepted arc.

Page 62 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.

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. Let...

Page 100 - The circumferences of circles are to each other as their radii, and their areas are to each other as the squares of their radii. Let C denote the circumference of one of ^ the circles, R its radius OA, A its area; and let C...

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