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" As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base. "
Mathematics: Compiled from the Best Authors and Intended to be the Text-book ... - Page 21
1801
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Elements of Surveying, and Navigation: With Descriptions of the Instruments ...

Charles Davies - Navigation - 1854 - 446 pages
...drawn from the vertical angle perpendicular to the base, dividing it into two segments: then, the whole base, or sum of the segments, is to the sum of the tiuo oilier sides, as the difference of those sides to the difference of the segments. • 23. Let...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...from the vertux'l angle perpendicular to the base, divid'ng it into hvo segments : ff1en, the whole base, or sum of the segments, is to the sum of the two other sides, as the difference of those sides to the difference of the segments. 23. Let BAC be...
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1859 - 422 pages
...it into two segments ; and the whole triangle into two right-angled triangles : then the proportion will be — As the base, or sum of the segments, is...those sides, to the difference of the segments of the bases : then add half the difference of the segments to the half sum, or the half base, for the greater...
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Surveyor's and Engineer's Companion: a Comcise Treatise on Mathematical ...

William Schmolz - 1859 - 196 pages
...triangle into two right-angled triangles ; then say, as the given base is to the ( sum of the two other sides, so is the difference of those sides, to the difference ( of the segments of the base. To half the base add half the difference of the 5 segments for the greater segment, and subtract it...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...it into two segments ; and the whole triangle into two right-angled triangles : then the proportion will be— As the base, or sum of the segments, is to the sum of the otJier two sides; so is the difference of those sides, to the difference of the segments of the bases...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1863 - 600 pages
...side, or base, dividing it into two segments, and the whole triangle into two right-angled triangles ; it will be, As the base, or sum of the segments, Is...the difference of the segments of the base. Then, half the difference of the segments being added to the half sum, or the half base, gives the greater...
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A practical treatise on ... land and engineering surveying, Volume 34

Henry S. Merrett - 1863 - 476 pages
...segments, and the whole triangle into two right angled triangles. Then, as the base or sum of the two segments is to the sum of the other two sides, so...sides to the difference of the segments of the base. Half the difference of the segments thus found, added to the half base, gives the greater segment,...
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - 1863 - 428 pages
...segments, and the whole triangle into two right angled triangles. Then, as the base or sum of the two segments is to the sum of the other two sides, so...sides to the difference of the segments of the base. Half the difference of the segments thus found, added to the half base, gives the greater segment,...
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A practical treatise on mining, land and railway surveying ..., Volume 35

Henry Davis Hoskold - 1863 - 308 pages
...upon it from the opposite angle. Then, as the base or sum of the segments made by the perpendicular is to the sum of the other two sides, so is the difference of those sides to the difference of the segment of the base, and half the difference added to the half base will give the greater segment,...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1863 - 482 pages
...three sides as base, then say, conformably with prop. 16, As the base, To the sum of the two other sides ; So is the difference of those sides, To the difference of the segments of the base. Half the base added to the said difference gives the greater segment, and made less by it gives the...
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