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" 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. "
Explanatory Mensuration - Page 31
by Alfred Hiley - 1879 - 188 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...sicks only arc given ; — add the three sides together, and take half the sum ; from the halt. 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 the area of the triangle. •...
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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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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 838 pages
...three sides only are given : Add the three sides together, 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 the area of the triangle. Ex....
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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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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...— If the three sides only are given, add these together, and tuke 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 the area of the triangle. Examples....
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A Treatise on Surveying: Containing the Theory and Practice: to which is ...

John Gummere - Surveying - 1828 - 404 pages
...adjacent angles 37° 30' and.48°15'? 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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The Teacher's Assistant, and Scholar's Mathematical Directory: Containing ...

Dudley Leavitt - Mathematics - 1830 - 154 pages
...the three sides of a triangle are given, the area may be found thus, without a perpendicular. Erom half the sum of the three sides, subtract each side separately ; multiply the half sum and 3 remainders continually together, and the square root of the last product will be the area. Therefore,...
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 240 pages
...three sides only are given : Add the three sides together, 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 the area of the triangle. Ex....
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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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