Elements of Geometry and Trigonometry |
From inside the book
Page 177
... surface described by the entire perimeter is equal to ( FH + HI + IP + PQ + QA ) × circ ON = AF × circ . ON Cor . The surface described by any portion of the perime- ter , as EDC , is equal to the distance between the two perpen ...
... surface described by the entire perimeter is equal to ( FH + HI + IP + PQ + QA ) × circ ON = AF × circ . ON Cor . The surface described by any portion of the perime- ter , as EDC , is equal to the distance between the two perpen ...
Page 286
... surface of a right prism . RULE . - Multiply the perimeter of the base by the altitude , and the product will be the convex surface ( Book VII . Prop . I. ) . To this add the area of the two bases , when the entire surface is required ...
... surface of a right prism . RULE . - Multiply the perimeter of the base by the altitude , and the product will be the convex surface ( Book VII . Prop . I. ) . To this add the area of the two bases , when the entire surface is required ...
Page 291
... surface of a cylinder , whose altitude is 20 feet , and the diameter of its base 2 feet . Ans . 131.9472 . PROBLEM X. To find the convex surface of a cone . RULE . - Multiply the circumference of the base by half the side ( Book VIII ...
... surface of a cylinder , whose altitude is 20 feet , and the diameter of its base 2 feet . Ans . 131.9472 . PROBLEM X. To find the convex surface of a cone . RULE . - Multiply the circumference of the base by half the side ( Book VIII ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
Other editions - View all
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