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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,... "
The Mechanic's Text-book and Engineer's Practical Guide ... - Page 30
1855 - 403 pages
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...Ans. 12 A. 20 P. PROBLEM IX. 622. To find the area of a TRIANGLE, the three sides being given. side ; multiply the half sum and the three remainders together, and the square root of the product will be the area required. For, let ABC be a triangle whose three sides, AB, BC, AC, are...
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The Analysis of Written Arithmetic: Book Second, Designed for Public and ...

Stoddard A. Felter - Arithmetic - 1864 - 412 pages
...OPERATION. l.aso. half alt. area. 8ft. X 2 = 16 sq.ft. PROB. II. — The sides of a triangle being given to find the area. RULE. — From half the sum of the three sides subtract each side separately, then multiply the continued product of these remainders by half the sum of the sides, and...
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Rudimentary treatise on mensuration and measuring

Thomas Baker (C.E.) - 1865 - 174 pages
...has been made, and the work must be repeated. TO FIND THE AREA OF A TRIANGLE FROM THE THREE SIDES. RULE. — From half the sum of the three sides subtract each side severally and reserve the three remainders ; multiply the half sum continually by the three remainders, and the...
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Gas Superintendent's Pocket Companion for the Year 1866

Harris & Brother (Philadelphia) - 1866 - 110 pages
...— Area from three sides given. From the half sum of the three sides subtract each side separately ; multiply the half sum and the three remainders together, and the square root of the product will be the area. 4. TRAPEZOID — the sum of the two parallel sides X by half the perpendicular...
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Orton's Lightning Calculator, and Accountant's Assistant: The Shortest ...

Hoy D. Orton - Mathematics - 1866 - 202 pages
...all very brief by canceling. To find Cite 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...
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The Builder's Pocket Companion: Containing the Elements of Building ...

A. C. Smeaton - Building - 1867 - 314 pages
...sides. RULE. Add the three sides together, and from half the sum subtract each side separately ; then multiply the half sum and the three remainders together, and the square root of the product will be the area required. Let the sides of a triangle be 30, 40, and 50 feet, respectively,...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...derive the following RULES. from half the sum of the three sides ml/tract each side separately ; then multiply the half sum and the three remainders together, and the square root of their continued product will b« the area of the triangle. Or, RULE n. Add together the logarithms...
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The Grammar-school Arithmetic: Being Book Second of the Analysis of Written ...

Stoddard A. Felter - Arithmetic - 1868 - 360 pages
...area. Operation.— 8 ft. X 2 = 16 sq. ft. Fig. 24. Prob. Hi — The sides of a triangle being given to find the area. Rule. — From half the sum of the three sides subtract each side separately, then multiply the continued product of these remainders by half the sum of the sides, and...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...Ans. 12 A. 20 P. PROBLEM IX. 622. To find the area of a TRIANGLE, the three sides being given. side ; multiply the half sum and the three remainders together, and the square root of the product will be the area required. For, let ABC be a triangle whose three sides, AB, BC, AC, are...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...expressing the base, the quotient is the height. 152. The three sides of a triangle being given, to find the area. RULE. From half the sum of the three sides subtract each side separately ; multiply the half sum and the three remainders together : the square root of the product...
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