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. 1833 Excerpt: ...the area of a great circle of it. 1. To find the lunar surface included between two great circles of the sphere. Rule. Multiply the diameter into the breadth of the surface in the middle, and the product will be the superficies required. Or, As one right angle is to a great circle of the sphere; So is the angle made by ...
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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. 1833 Excerpt: ...the area of a great circle of it. 1. To find the lunar surface included between two great circles of the sphere. Rule. Multiply the diameter into the breadth of the surface in the middle, and the product will be the superficies required. Or, As one right angle is to a great circle of the sphere; So is the angle made by the two great circles, To the surface included by them. 2. To find the area of a spherical triangle, or the surface included by the intersecting arcs of three great circles of the sphere. Rule. As two right angles, or 180, Fs to a great circle of the sphere; So is the excess of the three angles above two right angles. To the area of ihe triangle. EXAMPLES. 1. What is the convex superficies of a globe BCG whose diameter BG is 17 inches? D Here 3.1416 X 17 X 17=53.4072 X 17 = 907.9224 squart inches. And 907.9224--144=6.305 square feet, the answer. 2. What is the convex superficies of a sphere whose diameter is li feet, and the circumference 4.1888 feet7 Ans. 5.58506/ee. 3. If the diameter, or axis of the earth be 7957$ miles, what is the whole surface, supposing it to be a perfect sphere? Ans. 198944286.35235 sq. miles. 4. The diameter of a sphere is 21 inches; what is the convex superficies of that segment of it whose height is 4$ inches? Ans. 296.8812 inches. 5. What is the convex surface of a spherical zone, whose breadth is 4 inches, and the diameter of the sphere, from which it was cut, 25 inches? Ans. 314.16 inches. PROBLEM XIII. To find the solidity of a sphere or globe. RULE. Multiply the cube of the diameter by.5236, and OtQ product will be the solidity. EXAMPLES. 1. What is the solidity of the sphere AEBC, whose diameter AB is 17 inches 1 PROBLEM XIV. To find the solidity of the segment of a sphere. To three times the square of the ra...
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Seller's Description:
Good. No Jacket. Full leather Corners bumped and cover is heaverly rubbed and spine is cracked from top to tail-book has foxing-book ow soliod & bright 275 pages.
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Seller's Description:
Good. 1839 Tree calf 8vo, 288pp. In good condition only-front board detached and light foxing throughout, still a handsome copy with great geometric engravings.
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Seller's Description:
Fair. Second American edition revised, 1818, hardcover with full-leather boards, small octavo, 262pp., illustrated with small b&w diagrams. Book fair with front joint cracked, spine ends missing 1.5 inches, title band missing top corner, loss to leather on top corner of front board, binding weak and fragile but holding with front board split from bottom almost to top, previous owner's marks to endpapers, text toned and shows some dampstaining throughout, rear endpaper missing bottom corner. No DJ.
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