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" From half the sum of the sides, subtract each side severally; multiply together the half sum and the three remainders; and extract the square root of the product. "
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... - Page 129
by Jeremiah Day - 1855 - 237 pages
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...removed from under the radical sign. (Alg.271.) Therefore, S= Vhx (ha) x (hb) X (hc) 222. For finding the area of a triangle, then, when the three sides...remainders ; and •extract the square root of the product. SECTIOK VIII. COMPUTATION OF THE CANON. A 22^ TPHE trigonometrical canon is a set of table* RT' ' •*-...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...angle included by either of the pairs of side* multiplied together. Or, II. From half the sum of all the sides, subtract each side severally, multiply together the half sum and the four remainders, and extract the square root of the product. If the sides are a, b, c, and d; and if...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...factors. Let A=j(«-r-fe+c) half the sum of the sides. Then S = Sh-X.(ha)-X.(hb)x(hc) 222. For finding the area of a triangle, then, when the three sides...the sides, subtract each side severally ; multiply togetfar the half sum and the three remainders } and . retract the square root of the product. , SECTION...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...these factors. Let A=£(a+6+c) half the sum of the sides. Then S = Shx(ha)x(hb)x(hc) 222. For finding the area of a triangle, then, when the three sides...remainders; and extract the square root of the product. -, > -/ J i SECTION VIII. COMPUTATION OF THE CANON. ART. 223. THE trigonometrical canon is a set of...
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A Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 pages
...directly obtained, by the follow^g method. RULE II. When the three sides are given, from half their sum subtract each side severally, multiply together the...remainders, and extract the square root of the product. If the sides of the triangle are a, 6, and c, and if A=half their sum, then The area=VAX(Aa)X(A—...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 pages
...directly obtained, by the following method. RULE II. When the three sides are given, from half their sum subtract each side severally, multiply together the...remainders, and extract the square root of the product. If the sides of the triangle are a, 6, and c, and if &=half their sum, then The area—Vh X (A- a)...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...ridge to the middle of the base, 9 feet 4 inches ? ADB RULE 2. When the three sides only are given. — From half the sum of the sides subtract each side severally: multiply the half sum and the three remainders continually together ; and the square root of their product will...
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A system of practical arithmetic, comprehending numerous rules and examples ...

Samuel YOUNG (of Manchester.) - 1833 - 272 pages
...angular point 36 perches. How many acres does it contain ? When the three sides only are given. RULE 2. From half the sum of the sides subtract each side severally : multiply the half sum and the three Remainders continually together, and the square root of their Product will...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1836 - 418 pages
...these factors. Let h=^(a+b+c) half the sum of the sides. Then S = v/Ax(Aa)x(A-6)x(Ac) 222. For finding the area of a triangle, then, when the three sides are given, we have this general rule ; From half thf turn of the sides, subtract each side severally ; multiply together the half sum and the three...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...three sides are given, from half their sum, subtract each side severally, multiply together half the sum and the three remainders, and extract the square root of the product. To ßnd the area of a trapezoid. Multiply half the sum of the parallel sides into their perpendicular...
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