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" From half the sum of the three sides subtract each side ; multiply the half sum and the three remainders together, and the square root of the product will be the area required. "
Graded Problems in Arithmetic and Mensuration - Page 109
by Samuel Mecutchen - 1880 - 232 pages
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The principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pages
...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,...square root of the product will be the area required. EXAMPLE I. Rcquireth the area of a triangle ABC, whose three sides AB, BC, and CA, are respectively...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pages
...three sides together, and take half that sum ; subtract each side separately from the half sum, then multiply the half sum and the three remainders together, and the square root of the last product will give the area I. Example. * Demonstration. The truth of this rule is obvious, because...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...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,...square root of the product will be the area required. Едг. Requireth the area of a triangle ABC, whose three »ides AB BC, and CA, are respectively 13,...
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A Treatise on the New Method of Land Surveying, with the Improved Plan of ...

Thomas Hornby (land surveyor.) - Surveying - 1827 - 318 pages
...each side from that half sum ; then multiply the said half sum and the three remainders continually together ; and the square root of the product will be the area of the triangle. EXAMPLES. 1. — Required the area of the triangular field ABC, whose base AB is 650,...
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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - Geometry - 1829 - 256 pages
...— c2) X (c2— a— 56 MENSURATION 2. Multiply the half sum and the three remainders continually together, and the square root of the product will be the area required. EXAMPLES. 1. Required the area of the triangle ABC, whose three sides BC, CA, and AB are 24, 36, and...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 14

Thomas Curtis - Aeronautics - 1829 - 810 pages
...sides, subtract each side separately, and multiply the half sum and the three remainders continually together; and the square root of the product will be the area. the sides Then by hence AD r: — E 1C, geAC, and AB, t» — «' "~~ 2 с ¿> — ; o AD —DB = —...
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A System of Geometry and Trigonometry: With a Treatise on Surveying ... in ...

Abel Flint - Surveying - 1830 - 322 pages
...From half the sum of the sides subtract each side separately. Multiply the half sum and the several remainders together, and the square root of the product will be the area. — ED . her corresponding to one half the sum of those logarithms will be the area of the triangle....
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A Key to the Western Calculator: Containing the Solution of All the Examples ...

John Armstrong - Arithmetic - 1831 - 152 pages
...three sides subtract each side severally. 2. Multiply the half sum and the three remainders continually together, and the square root of the product will be the area required. RULE. ii. Any two sides of a triangle being multiplied together, and the product again by half the...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...subtract each side separately ; then multiply the said half sum and the three remainders continually together, and the square root of the product will be the area of the triangle. Ex. 1. What is the area of a triangle whose base is 15 feet, and perpendicular height...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 pages
...to find its orea. RULE I. From, half the sum of the three sides subtract each side separately, then multiply the half sum and the three remainders together, and the square root of the last product will be the area of the triangle.* height gives the area of a rectangular parallelogram,...
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