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" From half the sum of the three sides, subtract each side severally; multiply the half sum, and the three remainders together, and the square root of the product will be the area required. Example. — Required the area of a triangle, whose sides are 50,... "
A Treatise on Surveying: Containing the Theory and Practice : to which is ... - Page 125
by John Gummere - 1846 - 266 pages
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1806 - 452 pages
...following problem will be evident. PROBLEM VIII. Three sides of a plane triangle given t0 find the area. RULE. From half the sum of the three sides subtract each side severally ; take the logarithms of half the sum and three remainders, anil half their total will be the logarithm...
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The principles of architecture, Volume 1

Peter Nicholson - 1809
...f. i ii PROBLEM III. To find the area of a triangle, whose three sides only are given. From the half sum of the three sides, subtract each side severally; multiply the half sum and the three remainders together, and the square root of the product will be the area required. EXAMPLE I. Rcquireth the area...
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The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - Electronic books - 1811 - 508 pages
...following problem will be evident. PROB. nil. The three sides of a filane triangle given to find the area. RULE. From half the sum of the three sides subtract each side severally ; take the logarithms of half the sum and three remainders, and half their total will be the logarithm...
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1815 - 320 pages
...let at per acre ? Case 2. When the three sides of a triangle are given, to find the area. i RULE. 3. From half the sum of the three sides subtract each side severally ; multiply the half cum and the three remainders continually together, and the square root of the Iast product will be...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - Surveying - 1818 - 478 pages
...problem will be evident. PROB. VIII. Tlie three sides of a plane triangle given, to find the area. RULE. From half the sum of the three sides subtract each side severally ; take the logarithms of the half sum and three remainders, and half their total will be the logarithm...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...52 Ofi2.5 Prob. 3. To find the area of a triangle, whose three sides only are given. From the half sum of the three sides, subtract each side severally... multiply the half sum and the three remainders together, and the square root of the product will be the area required. Едг. Requireth the area...
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A Short System of Practical Arithmetic: Compiled from the Best Authorities ...

William Kinne - 1829
...the corner a true right-angle. RULE 2. — To find the area of any triangle when the three sides only are given, RULE. — From half the sum of the three sides' subtract each side severally ; multiply these three remainders and the said half sum continually together; then the square root of the last...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 252 pages
...102. 5/e. PROBLEM III. To find the area of a triangle whose three sides only are given. RULE.* . 1 . From half the sum of the three sides subtract each side severally. * Demon. Let AC— a, 3=b, uc=c, and AD=a:; (See preceding fig.) Then, since BD=&— x, we shall...
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Elements of Geometry and Trigonometry: With an Easy and Concise System of ...

James Hale - Surveying - 1829 - 115 pages
...Perpendicular. RULE 2. If the three Sides of a Triangle be given, its Area may be thus obtained: — From half the sum of the three Sides, subtract each Side severally, then extract the Square Root of the continued Product of the half sum and three remainder for the Area....
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Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - Arithmetic - 1831 - 275 pages
...three lines or sides. PROBLEM3. When the sides of a triangle are given, to find the content. . ' ' . RULE. From half the sum of the three sides, subtract each side severally; then, multiply that half sum and the three remainders together; and the sqipre root of the last product...
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