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" RULE. 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. "
The Elements of Euclid, books i. to vi., with deductions, appendices and ... - Pagina 138
door Euclides - 1884
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - 1808 - 466 pagina’s
...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 principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pagina’s
...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 of a triangle ABC, whose three sides AB, BC, and CA, are respectively...
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 478 pagina’s
...these four logarithms, is the logarithmical sine of half the angle sought. (H. 215.) OR, RULE III. From half the sum of the three sides subtract each side separately. Then add together, The logarithmica! co-secants of half the sum of the sides, and of the difference...
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The Description and Use of the Sliding Rule, in Arithmetic, and in the ...

Andrew Mackay - 1811 - 162 pagina’s
...easily measured by the above method. In this case, therefore, the three sides are to be measured. Now from half the sum of the th'ree sides, subtract each side separately; then extract the square root of the product of half the sum of the sides by the three differences ;...
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The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 pagina’s
...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 pagina’s
...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. Едг. Requireth the area of a triangle ABC, whose three »ides AB BC, and CA, are respectively...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - 1825 - 838 pagina’s
...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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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 504 pagina’s
...these four logarithms, is the logarithmical sine of half the angle sought. (F. 184.) OR, RULE III. From half the sum of the three sides subtract each side separately. Then add together, The logarithmical co-secants of half the sum of the sides, and of the difference...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - 1826 - 176 pagina’s
...— 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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A Treatise on the New Method of Land Surveying, with the Improved Plan of ...

Thomas Hornby (land surveyor.) - 1827 - 318 pagina’s
...each side from that half sum ; then multiply the said half sum and the three remainders continually together ; and the square root of the product will be the area of the triangle. EXAMPLES. 1. — Required the area of the triangular field ABC, whose base AB is 650,...
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