 | Robert Gibson - Surveying - 1806 - 486 pages
...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... | |
 | Peter Nicholson - 1809 - 426 pages
...whose three sides only are given. From the half 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 will be the area required. EXAMPLE I. Rcquireth the area of a triangle ABC, whose three sides... | |
 | 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 between... | |
 | 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 ; multiply... | |
 | Robert Gibson - Surveying - 1811 - 580 pages
...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... | |
 | John Gummere - Surveying - 1814 - 398 pages
...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... | |
 | Thomas Keith - 1817 - 306 pages
...the three sides together, and take half that sum ; subtract each side separately from the half sum, then multiply the half sum and the three remainders together, and the square root of the last product will give the area I. Example. * Demonstration. The truth of this rule is obvious, because... | |
 | Robert Gibson - Surveying - 1818 - 502 pages
...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... | |
 | Anthony Nesbit - Surveying - 1824 - 476 pages
...£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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...whose three sides only are given. From the half 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 will be the area required. Едг. Requireth the area of a triangle ABC, whose three »ides... | |
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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. 
