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" From half the sum of the three 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 required. "
Metrical Geometry: An Elementary Treatise on Mensuration - Page 34
by George Bruce Halsted - 1881 - 232 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...sicks only arc given ; — add 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. •...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 838 pages
...three sides only are given : Add 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....
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - Arithmetic - 1826 - 176 pages
...— If the three sides only are given, add these together, and tuke 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. Examples....
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The Builder's Practical Guide: Containing a Complete Explanation of the ...

John Nicholson (Civil engineer) - Building - 1830 - 240 pages
...three sides only are given : Add 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....
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The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 186 pages
...— If the three sides only are given, add these togethe? 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. 1....
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The Elements of Algebra: Designed for the Use of Students in the University

John Hind - Algebra - 1837 - 584 pages
...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. 4. Required the area of a triangle whose sides...
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1848 - 184 pages
...— If the three sides only are given, add these togethe; 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 ths area of the triangle. li...
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A treatise on land surveying [ed.] by W. Galbraith

John Ainslie - 1849 - 586 pages
...Add the three sides, and take half the sum. From the half sum subtract each side successively, then multiply the half sum and the three remainders together...; the square root of the product will be the area of the triangle. In using logarithms, add the logarithm of the half sum and those of the three remainders...
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Putnam's Arithmetic

Rufus Putnam - Arithmetic - 1849 - 276 pages
...sides of the field; add them together, and from half their sum subtract each side separately ; then multiply the half sum and the three remainders together ; the square root of this product will be the area. 10. The three sides of a triangular field measure 15, 20 and 25 rods...
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An elementary course of practical mathematics, Part 2

James Elliot - 1851 - 152 pages
...the Three Sides are given. RULE. Add together the three sides, and halve the sum. From the half sum subtract each side separately. Multiply the half sum...together. The square root of the product will be the area. NOTE 1. The first part of the work may be proved, by observing if the sum of the three remainders is...
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