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" 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 of the last product will be the area.* * DEMONSTRATION. "
A system of practical arithmetic, comprehending numerous rules and examples ... - Page 106
by Samuel YOUNG (of Manchester.) - 1833
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The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - Arithmetic - 1806 - 342 pages
...the three Sides of a Triangle are given, to find the Area. RULE. 3. From Half the Sum of the three Sides subtract each Side severally ; multiply the...Remainders continually together, and the Square Root of the last Produdl will be the Area of the Triangle, that is, ^++l= j = Half the Sum of the Sides'. 2...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...the three sides together, and take half the sum ; from the halt. sum subtract each side separately ; multiply the half sum and the three remainders continually together ; and the square root of the last product will be the area of the triangle. • A triangle is half a parallelogram of the same...
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The principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pages
...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; 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...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1814 - 398 pages
...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 of the last product will be the area.* * DEMONSTRATION. Let...
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...For finding the area of a triangle, then, when the three sides are given, we have this general rule ; 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. SECTIOK...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...finding the area of a triangle, then, when the three sides are given, we -have this general rule ; 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 cf the product. ,, . SECTION...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - Surveying - 1817 - 384 pages
...triangle, when the three sides are given. RULE. From half the sum of the three sides subtract each sifle severally ; multiply the half sum and the three remainders continually together, and the square root of the last product will be the area. * » DEMONSTRATION. Let ABC, Fig. 69, be the triangle. Bisect any...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Surveying - 1824 - 476 pages
...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...remainders continually together; and the square root of the last product will be the area of the triangle. Jvofe t. If a triangle be accurately laid down,...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...finding the area of a triangle, then, when the three sides are given, we have this general rule -, From half the sum of 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 Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 822 pages
...the three sides together, and take half the sum ; from the half sum subtract each side separately; multiply the half sum and the three remainders continually together ; and the square root of the last product will be the area of the triangle. Ex. Required the area of the triangle whose base...
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