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New Elementary Geometry, with Practical Applications
Sin vista previa disponible - 2017
A B C D ABCD ALGEBRA altitude antecedent ARITHMETIC base bisect BOOK called chord circle circumference circumscribed coincide common cone consequently construct containing convex surface cylinder diagonal diameter difference distance divided draw drawn edges equal equal Theo equivalent faces feet figure formed four frustum given greater GREENLEAF'S half hence inches included inscribed interior intersection Join length less line A B magnitudes mean proportional meet multiplied opposite parallel parallelogram parallelopipedon pass perimeter perpendicular plane polygon prism PROBLEM proportional pyramid radii radius ratio rectangle rectangular right angles Scholium SCHOOLS side A B similar slant hight Solid sphere square straight line taken Theo THEOREM third triangle triangle A B C triangular vertex volume whole
Página 19 - 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.
Página 25 - 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.
Página 57 - At a point in a given straight line to make an angle equal to a given angle.
Página 81 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 89 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Página 58 - 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.
Página 96 - 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...
Página 84 - FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.