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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. "
The Weston school manual - Side 33
av Colin Arrott R. Browning - 1884
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - 1806 - 342 sider
...given, to find the Area. RULE. 3. 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 of the last Produdl will be the Area of the Triangle, that is, ^++l= j = Half the Sum of the Sides'. 2...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - 486 sider
...following problem will be evident. PROBLEM VIII. Three sides of a plane triangle given t0 find the area. RULE. From half the sum of the three sides subtract each side severally ; take the logarithms of half the sum and three remainders, anil half their total will be...
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Mathematics: Compiled from the Best Authors, and Intended to be the ..., Volum 1

Samuel Webber - 1808 - 466 sider
...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...remainders continually together ; and the square root of the last product will be the area of the triangle. • A triangle is half a parallelogram of the same...
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 478 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 Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson - 1811 - 580 sider
...following problem will be evident. PROB. nil. The three sides of a filane triangle given to find the area. RULE. From half the sum of the three sides subtract each side severally ; take the logarithms of half the sum and three remainders, and half their total will be...
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The Description and Use of the Sliding Rule, in Arithmetic, and in the ...

Andrew Mackay - 1811 - 162 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 Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 398 sider
...48° 15'? Ans. 6A. 3R. 18P. PROBLE To find the area of a 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 contiuually together, and the square root...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1817 - 384 sider
...the three sides are given. RULE. From half the sum of the three sides subtract each sifle severally ; multiply the half sum and the three remainders continually together, and the square root of the last product will be the area. * » DEMONSTRATION. Let ABC, Fig. 69, be the triangle. Bisect any...
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A Treatise on Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1818 - 502 sider
...problem will be evident. PROB. VIII. Tlie three sides of a plane triangle given, to find the area. RULE. From half the sum of the three sides subtract each side severally ; take the logarithms of the half sum and three remainders, and half their total will be...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - 476 sider
...£6 4*. 7 \d. , PROBLEM V. To find the area of a triangle, the three sides only of which 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; and the square root...
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