 | Anthony Nesbit - 1870 - 578 pages
...or ^RR 15.30103 J ' -""-""~",l, Log. 4.332 . 0.63664 4 1.328 .J0 ARP 13.120 Ans. 4 1 13 PROBLEM HI. To find the area of a triangle when the three sides are given. From the half sum of the three sides subtract each side separately, add together the logarithms of... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...— Square the sides ; the area required is to the area given as the squares of the like sides. 13. To find the area of a triangle when the three sides are given, — Subtract each side separately from half the sum of the sides : multiply together the three remainders... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...log sin $A = £ [log ($s — b) + log (£« — c) + (ac) log b + (a, c.) log c]. (3.) Third Case. To find the area of a triangle, when the three sides are given. Let ABC represent a triangle B whose sides a, b, and c are given. From the principle demonstrated in... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...have, log sin $A = $ [log (}« — b) + log (J* — c) + (ac) log b + (ac) log c]. (3.) Third Case. To find the area of a triangle, when the •three sides are given. Let AJBC represent a triangle whose sides a, b, and c are given. From the principle demonstrated in... | |
 | Hugo Reid - Mathematics - 1872 - 148 pages
...feet, the altitude 153 feet. Ans. — 1 acre, 0 roods, 23 sq. poles, 6£ sq. yards. Problem 9. 343. To find the area of a triangle, when the three sides are known. Rule. — Add the three sides ; from the half sum subtract each side separately ; the area will... | |
 | Aaron Schuyler - Measurement - 1864 - 506 pages
...respectively, and their included angle is 85° 40" 20" ; what is the area. Ans. 428470. 102. Problem. To find the area of a triangle when the three sides are given. By the last problem we find (1) k = \ be sin A, (2) sin A = 2 sin \ A cos \ A. Article 95, (5). (3)... | |
 | David Munn - 1873 - 160 pages
...and two triangles are to each other as the products of their bases by their altitudes. PROP. IV. — To find the area of a triangle, -when the three sides are given. In the triangle ABC, let BC = a, AC = b, AB = c. It is required to find the area. Let / denote the-... | |
 | Aaron Schuyler - Measurement - 1875 - 284 pages
...respectively, and their included angle is 85° 40' 20''; what is the area. Ans. 428470. 102. Problem. To find the area of a triangle when the three sides are given. By the last problem we find (1) k = £ be sin A, (2) sin A = 2 sin \ A cos \ A. Article 95, (5). (3)... | |
 | James Thomson - 1880 - 408 pages
...7 inches, and its perpendicular 17 feet 10 inches, what is its area? Answ. 192 f. 5' 5". RULE III. To find the area of a triangle, when the three sides are given: (1.) Add the sides together, and take half the sum : (2.) From the half sum take the three sides severally... | |
 | James Morton - Circle-squaring - 1881 - 236 pages
...scale of 8 inches. A quarter-sector of any circle is equal in area to a circle of half its diameter. To Find the Area of a Triangle when the Three Sides are given. — First. Add the three sides together, and take half their sum. Second. From this half sum subtract... | |
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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 separately. Multiply the half sum and the three remainders together, and extract the square root of the product. 
