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" For the area, from half the sum of the sides subtract each side separately, multiply the continued product of these remainders by the half sum, and take the square root of the product. "
A Treatise on Trigonometry by Profs. Oliver, Wait and Jones - Pàgina 60
per Cornell University. Department of Mathematics - 1881
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A System of Geometry and Trigonometry: With a Treatise on Surveying ... in ...

Abel Flint - 1830 - 322 pàgines
...sides and the logarithms of the three remainders be added together, the num. » Better expressed thus. From half the sum of the sides subtract each side separately. Multiply the half sum and the several remainders together, and the square root of the product will be the area....
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A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - 1835 - 368 pàgines
...: it follows, that if the logarithm of the half sum of the three sides and * Better expressed thus. From half the sum of the sides subtract each side separately. Multiply the half sum and the several remainders together, and, the logarithms of the three remainders be added...
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The Elements of Algebra: Designed for the Use of Students in the University

John Hind - 1837 - 584 pàgines
...notation of the last example, we have the area - £ AB x CD C 2 = - x - \/s (s — «)(« — b) (s — c) From half the sum of the 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. Ex....
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The Elements of Plane and Spherical Trigonometry

John Hind - 1855 - 540 pàgines
...(* - 6) (A - с) .-* ОС = -У/С*- *)(*-*)(*-<:). Hence, the Rule enunciated at length will be : From half the sum of the 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. Ex....
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Elementary Mensuration for the use of schools, etc

Septimus Tebay - 1868 - 168 pàgines
...20-35 p. THE TRIANGLE CONTINUED. IX. TO find the area of a triangle when the three sides are given. From half the sum of the sides subtract each side separately; multiply the half sum and the three remainders together, and extract the square root. Ex. 1. Find the area of a...
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The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ...

Albert Newton Raub - 1877 - 348 pàgines
...3 in. high, at 6 cts. a square foot. Ans. 2. When the three sides of a triangle are given, to find the area, from half the sum of the sides subtract each side separately ; multiply the three remainders together, and this product by the half sum of the aides ; the square root of the product...
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A New Treatise on Surveying and Navigation, Theoretical and Practical: With ...

Horatio Nelson Robinson - 1878 - 564 pàgines
...the included angle 61° 12' ? RULE 3. — "When the three sides of a triangle are known : From one half the sum of the sides, subtract each side separately...continued product of these remainders ~by the half sum y the square root of the product will be the area, required. Demonstration. Let A represent the area...
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A Treatise on Trigonometry

James Edward Oliver - 1881 - 140 pàgines
...smA SIUB 128] »"=: — = a SmB S1° °a smA ~ 6sincsinA csinAsins So, pt = -. ) and p, = : sine sinc CASE 3. Given the three sides, a, b, c: (1) For the...perpendicular falls. For, v K = ^a6sinc; [126 and vsinc = 2sin4/ccos^c [60 = ^(S~albS~b}^^ [1°9'110 129] .'. K= Vs(sa) (s-6) (s — c), , --K So, -P'...
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A Treatise on Trigonometry

James Edward Oliver - 1881 - 120 pàgines
...в sin с 128] р° = — — : a smA _ &sincsinA ., csinAsinB So, pb = : i and »c = ; sinB J sinc CASE 3. Given the three sides, a, b, c: (1) For the...the side on which the perpendicular falls. For, v K = ^a&sinc; [126 and •.'sinc = 2sin^ccos^c [60 ii-JO [109, 110 129] .'. к = V s (s - a) (s —b)...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pàgines
...respectively ? Ans. 278r*r feet. V. To find the area of a triangle when the three aides are given. RULE. From half the sum of the sides subtract each side separately. Multiply the half-sum of the sides by the differences thus found, and the area will be the square root of the product,...
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