Elements of Geometry and Trigonometry |
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Page 102
... polygon . Let ABCDE be the given polygon . Draw first the diagonal CE cutting off the triangle CDE ; through the point D , draw DF parallel to CE , and meet- ing AE produced ; draw CF : the poly- gon ABCDE will be equivalent to the ...
... polygon . Let ABCDE be the given polygon . Draw first the diagonal CE cutting off the triangle CDE ; through the point D , draw DF parallel to CE , and meet- ing AE produced ; draw CF : the poly- gon ABCDE will be equivalent to the ...
Page 143
... polygon ABCDE . The polygon ABCDE is called the base of the pyramid , the point S the vertex ; and the triangles ASB , BSC , CSD , & c . form its convex or lateral sur- face . 11. If from the pyramid S - ABCDE , the pyramid S - abcde be ...
... polygon ABCDE . The polygon ABCDE is called the base of the pyramid , the point S the vertex ; and the triangles ASB , BSC , CSD , & c . form its convex or lateral sur- face . 11. If from the pyramid S - ABCDE , the pyramid S - abcde be ...
Page 146
... abcde , xyz , then will A the sections abcde , xyz , be to each other as the bases ABCDE , XYZ . S a C E D C Z B Y For , the polygons ABCDE , abcde , being similar , their sur- faces are as the squares of the homologous sides AB , ab ...
... abcde , xyz , then will A the sections abcde , xyz , be to each other as the bases ABCDE , XYZ . S a C E D C Z B Y For , the polygons ABCDE , abcde , being similar , their sur- faces are as the squares of the homologous sides AB , ab ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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adjacent altitude angle ACB ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone consequently convex surface cosine Cotang cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex