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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 engineers' manual of the Local marine examinations - Σελίδα 139
των Thomas Liddell Ainsley - 1880
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The principles of architecture, Τόμος 1

Peter Nicholson - 1809 - 426 σελίδες
...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...

An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 478 σελίδες
...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 between...

The Description and Use of the Sliding Rule, in Arithmetic, and in the ...

Andrew Mackay - 1811 - 162 σελίδες
...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 ; multiply...

The complete measurer: or, The whole art of measuring, containing the ...

Thomas Keith - 1817 - 306 σελίδες
...the 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...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...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...

An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 504 σελίδες
...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 between...

A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 408 σελίδες
...in Problem III. 2. When the three sides of the triangle are given, the area may be found as follows: From half the sum of the three sides subtract each side separately ; then multiply the said half sum and the three remainders continually together, and the square root of the product will...

A treatise on practical geometry, mensuration, conic sections, gauging, and ...

Ireland commissioners of nat. educ - 1834 - 370 σελίδες
...feet Gi inches. PROBLEM V. Having the three sides of any Triangle given, to find its orea. RULE I. From, half the sum of the three sides subtract each...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,...

A Treatise on Mensuration for the Use of Schools

Commissioners of National Education in Ireland - 1837 - 284 σελίδες
...feet 6^ inches. PROBLEM V. Having the three sides of any Triangle given, to find its area. RULE I. From half the sum of the three sides subtract each...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...

Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - 1837 - 342 σελίδες
...the three sides of the triangle. Then, add them to gether and take half their sum. From this half sum subtract each side separately. Then, multiply the half sum and the three remainders together, and extract the square root of the product : the result will be the area (Gcom. Mens. Prob. II). Or, after...




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