Elements of Geometry and Trigonometry |
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Page 110
... circle , and circum- scribed about one . Let ABCDE & c . be a regular poly- gon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point of BC : draw ...
... circle , and circum- scribed about one . Let ABCDE & c . be a regular poly- gon : describe a circle through the three points A , B , C , the centre being O , and OP the perpendicular let fall from it , to the middle point of BC : draw ...
Page 121
... circle is equal to the product of its circumference by half the radius . Let ACDE be a circle whose centre is O and radius OA : then will area OA = 10A x circ . OA . For , inscribe in the circle any E regular polygon , and draw OF ...
... circle is equal to the product of its circumference by half the radius . Let ACDE be a circle whose centre is O and radius OA : then will area OA = 10A x circ . OA . For , inscribe in the circle any E regular polygon , and draw OF ...
Page 175
... circle , whose centre is O. Cor 1. If the section passes through the centre of the sphere , its radius will be the radius of the sphere ; hence all great circles are equal . Cor . 2. Two great circles always bisect each other ; for ...
... circle , whose centre is O. Cor 1. If the section passes through the centre of the sphere , its radius will be the radius of the sphere ; hence all great circles are equal . Cor . 2. Two great circles always bisect each other ; for ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC 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 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex