The Description and Use of the Sliding Rule, in Arithmetic, and in the Mensuration of Surfaces and Solids; Also, the Description of the Ship ... Masts, Yards, &C. Together with the Descripti - Softcover
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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.1811 Excerpt: ... Set 46 on C to 3.545 on D; then opposite to. the. circumference 3 feet on D, is very nearly 33 feet, the content on C. II. The length of a tree is 50 feet, and mean circumference 4 j feet, required the content? The length 50 feet on C, being put to 3-545 on D, the beginning of the line C is removed to the right hand of 4J on D. In this case, therefore, take any multiple or part of the length, as its double, which is 100, and place opposite to 3-5-16 on D, and against 4-5 on D. is 161 on C, the half of which 81$ is the number of cubic feet required. The circumference being given jn inches.. EXAMPLES. I. Let the length of a tree be 20 feet, and mean circumference 29 inches, required its solid content?:. Set 20 on C, to 42-54 on D j then opposite to 29 on D, is 9xv feet, the solid content on C. II.' The length of a tree is 48 feet, and mean circumference 35 inches, required the solid content? The length on C being set to 42.54 on I), there is no part of the slide opposite to the circumference on D. In this case, therefore, take any aliquot part of the length, as a fourth, which is 12-Now set 12 on C, to 42-54 on D; and opposite to 35 on D, is 8-on C; which, multiplied by 4, gives 22h the solid feet required'... '. nr. The length is 56 feet, and circumference 40 inches, required the solid content? Set 56 on C, to 42-54 on D; and opposite to 40 at the left hand end of the line D, is 49 feet, the answer on C. IV. Let the length of a tree he 45 feet, and circumference 32 inches, required the content? The length on C being set to 42-54 on D, there is no part of the slide opposite to 32 on D. Let therefore one-third of the length, which is 15, on C, be set to 42 54 on D; and opposite to 32:On D, is 8 5 on C; which multiplied by 3, gives 25-5, the solid content. In...
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