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" RULE. — To the sum of the first and last ordinates, add four times the sum of all the even ordinates, and twice the sum of all the odd ordinates... "
A Complete Treatise on Practical Land-surveying: In All Its Departments ... - Page 76
by Anthony Nesbit - 1847 - 426 pages
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The new practical gager

Matthew Iley - 1820 - 512 pages
...inches 8th = 72 inches 9th = 40 inches Equidistance = 18 inches Altitude of both Segments 10 inches RULE. To the sum of the first and last ordinates add four times the sum of all the even ordinates, with double the sum of all the odd ones, except the first and last. Then multiply the total by one-third...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...form, is seldom perfectly comprehended by learners ; but the foltowini one may be easily understood, and committed to memory. RULE. To the sum of the first...common distance of the ordinates, divide the product by three, and the quotient will be the area required. EXAMPLES. 1 . Let the subsequent figure represent...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...will cross the perpendicular depth at right angles, and at proper distances from the top. GAUGING. RULE. To the sum of the first and last ordinates, add four times the sum of the even ordinates, and double the sura of the rest; then to the product of the total multiplied by...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...side, and a right line as a base on the other. RULE. To the sum of the first and last ordinates add 4 times the sum of all the even ordinates, and twice the sum of all the 311 odd ordinates, rejecting the first and last; and | of this result, multiplied by the common distance...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Geometry - 1845 - 506 pages
...side, and a right line as a base on the other. RULE. To the sum of the first and last ordinates add 4 times the sum of all the even ordinates, and twice the sum of all the 211 odd ordinates, rejecting the first and last; and j of this result, multiplied by the common distance...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845 - 542 pages
...side, and a right line as a base on the other. RUIE. To the sum of the first and last ordinates add 4 times the sum of all the even ordinates, and twice the sum of all the * Button's Menauration. odd ordinates, rejecting the first and last; and j- of this result, multiplied...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 494 pages
...comprehended by learners ; but the following one may bo easily understood, and committed to memory. KULE. To the sum of the first and last ordinates, add four...by 3, and the quotient will be the area required. PART VI. EXAMPLES. 1. Let the subsequent figure represent part of a drain or canal ; required the number...
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The Transactions of the Royal Institution of Naval Architects ..., Volume 1

Royal Institution of Naval Architects - Marine engineering - 1860 - 266 pages
...curve — the number of ordinates, therefore, including the first and last, being odd in number ; then, to the sum of the first and last ordinates add four times the sum of the even and twice the sum of the odd ordinates (except the first and last), and multiply the whole...
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Ship-building in Iron and Wood

Andrew Murray - Naval architecture - 1863 - 280 pages
...point where the perpendicular drawn from G intersects A,A".) by RULE VII. To the sum of the SQUARES of the FIRST and LAST ordinates, add FOUR times the sum of the squares of all the EVEN ordinates, twice the sum of the squares of all the ODD ordinates; multiply...
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A Treatise on Naval Architecture and Ship-building; Or, An Exposition of the ...

Richard Worsam Meade - Naval architecture - 1869 - 510 pages
...point where the perpendicular drawn from G intersects AC), by • RULE X. To the sum of the SQUARES of the FIRST and LAST ordinates, add FOUR times the sum of the squares of all the EVEN ordinates, twice the sum of the squares of all the ODD ordinates ; multiply...
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