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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. "
Mensuration for beginners [With] Answers - Side 38
av William Dodds - 1883
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 420 sider
...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 - 1811 - 138 sider
...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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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 551 sider
...cases, we have the following rules. To find any angle of a spherical triangle when the three sides are given. RULE 1. From half the sum of the three sides subtract the side opposite to the required angle, then add together the log cosecants of the other two sides,...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 442 sider
...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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An Introduction to Mensuration and Practical Geometry

John Bonnycastle - 1829 - 252 sider
...and height 10.25? Ans. 102. 5/e. PROBLEM III. To find the area of a triangle whose three sides only are given. RULE.* . 1 . From half the sum of the three sides subtract each side severally. * Demon. Let AC— a, ±3=b, uc=c, and AD=a:; (See preceding fig.) Then, since BD=&— x,...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 396 sider
...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
...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 - 1837 - 262 sider
...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
...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 - 1840 - 224 sider
...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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