A course of mathematics Volume 1-3 ; containing the principles of plane trigonometry, mensuration, navigation, and surveying: adapted to the method of instruction in the American colleges - Softcover
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1838 Excerpt: ...of the base; and therefore, the sum of the breadths is equal to the perimeter of the base. Ex. 1. If the base of a right prism be a regular hexagon whose sides are each 2 feet 3 inches, and if the height be 16 feet, what is the lateral surface % Ans. 216 square feet. If the areas of the two ends be added to the lateral surface, the sum will be the whole surface of the prism. And the superficies of any solid bounded by planes, is evidently equal to the areas of all its sides. Ex. 2. If the base of a prism be an equilateral triangle whose perimeter is 6 feet, and if the height be 17 feet, what is the surface 1 The area of the triangle is 1.732. (Art. 11.) And the whole surface is 105.464. PROBLEM III. To find the Solidity of a Pyramid. 48. Multiply The Area Of The Base Into i Of The Height. The solidity of a prism is equal to the product of the area of the base into the height. (Art. 43.) And a pyramid is i of a prism of the same base and altitude. (Sup. Euc. 15, 3. Cor. 1.) Therefore the solidity of a pyramid whether right or oblique, is equal to the product of the base into A of the perpendicular height. Ex. 1. What is the solidity of a triangular pyramid, whose height is 60, and each side of whose base is 41 The area of the base is 6.928 And the solidity is 138.56. 2. Let ABC (Fig. 16.) be one side of an oblique pyramid whose base is 6 feet square; let BC be 20 feet, and make an angle of 70 degrees with the plane of the base; and let CP be perpendicular to this plane. What is the.solidity of the pyramid? 3. What is the lateral surface of a regular pyramid whose axis is 12 feet, and whose base is 18 feet square? Ans. 540 square feet. The lateral surface of an oblique pyramid may be found, by taking the sum of the areas of the unequal triangles which form it...
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- PublisherRarebooksclub.com
- Publication date2012
- ISBN 10 1130343022
- ISBN 13 9781130343021
- BindingPaperback
- Number of pages82
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