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" From half the sum of the three sides subtract each side ; multiply the half sum and the three remainders together, and the square root of the product will be the area required. "
The operative mechanic's workshop companion, and the scientific gentleman's ... - Seite 35
von William Templeton (engineer.) - 1845
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The principles of architecture, Band 1

Peter Nicholson - 1809 - 426 Seiten
...f. i ii PROBLEM III. To find the area of a triangle, whose three sides only are given. From the half sum of the three sides, subtract each side severally;...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 AB, BC,...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 Seiten
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...52 Ofi2.5 Prob. 3. To find the area of a triangle, whose three sides only are given. From the half sum of the three sides, subtract each side severally...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 AB BC,...
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A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 Seiten
...to find its orea. RULE I. From, half the sum of the three sides subtract each side separately, then multiply the half sum and the three remainders together, and the square root of the last product will be the area of the triangle.* height gives the area of a rectangular parallelogram,...
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The Elements of Algebra: Designed for the Use of Students in the University

John Hind - 1837 - 584 Seiten
...- \/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. 4. Required the area of a triangle whose sides are \2a* +262-c2, \A a2 + 2 c2...
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A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - 1837 - 284 Seiten
...to find its area. RULE I. From half the sum of the three sides subtract each side separately, then multiply the half sum and the three remainders together, and the square root of the last product will be the area of the triangle.* RULE II. Divide the difference between the squares...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839 - 348 Seiten
...half the product will be the area. To find the area of a triangle whose three sides are given.—From half the sum of the three sides, subtract each side...remainders together, and the square root of the product will be the area required. Two sides of a right angled triangle being given to find the third side.—When...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1840 - 436 Seiten
....?i__ =140 Square yards. Area required. To find the Area of a Triangle, whose three Sides are given. From half the sum of the three sides, subtract each...remainders together, and the square root of the product will be the Area required. Example. — Required the Area of a Triangle, whose sides are 50, 40, and...
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The Practical Engineer's Pocket Guide: Containing a Concise Treatise on the ...

1847 - 190 Seiten
...su53-25 XT7S I When only the three sides of a triangle can be given, to find the artaRule — Prom half the sum of the three sides subtract each side...and the square root of the product is equal the area requiredRequired the area of a triangle, whose three sides are respectively 50, 40, and 30 feet —...
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Principles of Architecture: Comprising Fundamental Rules of the Art, with ...

Peter Nicholson, Joseph Gwilt - 1848 - 750 Seiten
...PROBLEM III. PLATE 50. To find the area of a triangle whose three sides only are given. From the half sum of the three sides subtract each side severally;...remainders together, and the square root of the product will be the area required. EXAMPLE I. Required the area of a triangle ABC, whose three sides AB, вс,...
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