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" 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 is the area. "
Mensuration for Beginners: With Numerous Examples - Page 74
by Isaac Todhunter - 1869 - 296 pages
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The Principles and Practice of Arithmetic: Comprising the Nature and Use of ...

John Hind - Arithmetic - 1840 - 252 pages
...Triangle. The area is equal to half the product of the base and the perpendicular altitude. (3) Triangle. From half the sum of the three sides, subtract each side separately: multiply together the half-sum and the three remainders, and the square root of the product will be equal to...
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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - Arithmetic - 1842 - 180 pages
...by means of the given proportion, the other sides may be found. PROB. IV. — To Measure a Triangle. RULE. — From half the sum of the three sides, subtract each side severally ; multiply these three remainders and the said half sum continually together ; the square...
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Plane and Spherical Trigonometry ...

Henry W. Jeans - Trigonometry - 1842 - 138 pages
....-.2 area. . 300832 and area 150416 VI. Three sides of a plane triangle being given, to find the area. From half the sum of the three sides, subtract each side separately. Add together, the log. of the hah0 sum, and the logarithms of the three remainders. Half the result...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 298 pages
...cd, and half the product will be the area. To find the Area of a Triangle by the length of its sides. RULE. — From half the sum of the three sides subtract each side separately ; then multiply the half sum and the \hree remainders continually together, and the square root of...
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Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 pages
...chains. Ans. 3a. Or. 18p. PROBLEM 3. — To find the area of a triangle, when three sides are given. RULE. From half the sum of the three sides, subtract each side severally, multiply the lialf sum, and the three • These, and the following, should be laid down...
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Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 pages
...perpendicular 25-25 ft. ? Ans. 68-736. 3. PROBLEM. To find the area of a triangle, given the three sides. RULE. From half the sum of the three sides subtract each side severally ; multiply the half sum and the three remainders continually together, and the square root...
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A Treatise on Surveying and Civil Engineering, Wherein Everything that is ...

P. O'Shaughnessy (Civil engineer) - Civil engineering - 1848 - 110 pages
...feet ? Ans. 2748. 9. Prob. 5. To find the area of a plain triangle when the three sides are given. Rule. — From half the sum of the three sides subtract each side severally. Multiply the half sum and the three remainders continually together, the square root of...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1848 - 256 pages
...base by a perpendicular let fall from the opposite angle, and take half the product for the area. Or, from half the sum of the three sides subtract each side separately, and multiply the three remainders so obtained and the half sum together, and the square root of the...
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1848 - 184 pages
...— If the three sides only are given, add these togethe; and take half the sum ; from the half sum subtract each side separately ; multiply the half sum and the three remainders continually together, and the square root of the last product will be ths area of the triangle. li...
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A treatise on land surveying [ed.] by W. Galbraith

John Ainslie - 1849 - 586 pages
...Add the three sides, and take half the sum. From the half sum subtract each side successively, then multiply the half sum and the three remainders together ; the square root of the product will be the area of the triangle. In using logarithms, add the logarithm of the half sum and those...
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