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

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### Common terms and phrases

ABCD ABCDEF ALGEBRA altitude ARITHMETIC axis base called chord circle circumference circumscribed coincide common cone consequently construct containing convex surface cubes cylinder described diagonal diameter difference distance divided draw drawn edges entire equal equal bases equal Theo equivalent faces feet figure formed four frustum given greater GREENLEAF'S half the sum hence homologous inches included inscribed intersection joining length less magnitudes mean proportional measured meet opposite parallel parallelogram parallelopipedon pass perimeter perpendicular plane polygon PRACTICAL prism PROBLEM pyramid radii radius ratio rectangle rectangular represented right angles rods SCHOOLS sector segment side A B sides similar slant hight Solid sphere square square feet straight line taken Theo THEOREM third triangles triangles A B C triangular vertex volume whole

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

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

Page 93 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.

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

Page 124 - But the solidity of each triangular prism is equal to the product of its base by its altitude ; and.