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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, and the square root of the product will be the area required. "
Plane and Spherical Trigonometry ... - Page 51
by Henry W. Jeans - 1842
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...these four logarithms, is the logarithmical sine of half the angle sought. (H. 215.) OR, RULE III. From half the sum of the three sides subtract each side separately. Then add together, The logarithmica! co-secants of half the sum of the sides, and of the difference...
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The Description and Use of the Sliding Rule, in Arithmetic, and in the ...

Andrew Mackay - Mathematical instruments - 1811 - 162 pages
...easily measured by the above method. In this case, therefore, the three sides are to be measured. Now from half the sum of the th'ree sides, subtract each side separately; then extract the square root of the product of half the sum of the sides by the three differences ;...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 504 pages
...these four logarithms, is the logarithmical sine of half the angle sought. (F. 184.) OR, RULE III. From half the sum of the three sides subtract each side separately. Then add together, The logarithmical co-secants of half the sum of the sides, and of the difference...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...in Problem III. 2. When the three sides of the triangle are given, the area may be found as follows: From half the sum of the three sides subtract each side separately ; then multiply the said half sum and the three remainders continually together, and the square root...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 pages
...feet Gi inches. PROBLEM V. Having the three sides of any Triangle given, 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...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - Measurement - 1837 - 284 pages
...feet 6^ inches. PROBLEM V. Having the three sides of any Triangle given, to find its area. 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...
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An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839 - 498 pages
...the sum of these four logarithms is the logarithmic sine of half the angle sought (422). RULE III. From half the sum of the three sides subtract each side separately. Then add together, mic sines of the difference between the half sum and each side containing the required...
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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...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 298 pages
...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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A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...Am. 4 1 13 PROBLEM III. To find the Area of a Triangle when the three Sides are given. From the half sum of the three sides subtract each side separately, add together the logarithms of the half sum and the three remainders in links, and divide the sum by 2, diminishing...
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