Elements of Geometry and Trigonometry |
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Page 118
... perimeter AB + BC , will become the arc AKВС . PROPOSITION IX . THEOREM . The area of a regular polygon is equal to its perimeter , multi- plied by half the radius of the inscribed circle . H T G N 0 Let there be the regular polygon ...
... perimeter AB + BC , will become the arc AKВС . PROPOSITION IX . THEOREM . The area of a regular polygon is equal to its perimeter , multi- plied by half the radius of the inscribed circle . H T G N 0 Let there be the regular polygon ...
Page 171
... perimeter of the polygon which forms its base , multiplied by half the slant height SG ( Book VII . Prop . IV . ) . Let now the number of sides of the inscribed polygon be indefinitely increased ; the perimeter of the inscribed polygon ...
... perimeter of the polygon which forms its base , multiplied by half the slant height SG ( Book VII . Prop . IV . ) . Let now the number of sides of the inscribed polygon be indefinitely increased ; the perimeter of the inscribed polygon ...
Page 177
... perimeter is equal to ( FH + HI + IP + PQ + QA ) × circ ON = AF × circ . ON Cor . The surface described by any ... perimeter will coincide with the circumfe- rence ABCDE , the perpendicular OF will become equal to OE , and the ...
... perimeter is equal to ( FH + HI + IP + PQ + QA ) × circ ON = AF × circ . ON Cor . The surface described by any ... perimeter will coincide with the circumfe- rence ABCDE , the perpendicular OF will become equal to OE , and the ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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Common terms and phrases
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