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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. "
Higher Book - Page 252
by William Seneca Sutton - 1896
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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 Treatise on Surveying: Containing the Theory and Practice: to which is ...

John Gummere - Surveying - 1828 - 404 pages
...angles 37 30' and.4815'? Ans. 6 A. 3R. 18 P. PROBLEM V. To find the. area of a triangle when the three sides are given. 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 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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The Elements of Analytical Geometry ...

John Radford Young - Geometry, Analytic - 1835 - 298 pages
...formula for S, and reducing, we finally obtain S= V (pp — -p — bp — c). From this we see that to find the area of a triangle whose three sides are given, we must find the half-sum of the three sides, subtract from the half-sum successively each of the three...
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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 artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1840 - 436 pages
...whose base is 20 yards, and perpendicular height 14 yards. .?i__ =140 Square yards. Area required. To find the Area of a Triangle, whose three Sides...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...
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