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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. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Page 13
by Charles Hutton - 1811
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...from the vertical angle perpendicular to the base, dividing it into two segments: t/uen, 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. Let BAG be a triangle,...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery drill and tactics - 1854 - 406 pages
...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...sides ; so is the difference of those sides, to the difference of the segment of the bases ; then add half the difference of the segments to the half sum,...
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The Practical Surveyor's Guide: Containing the Necessary Information to Make ...

Andrew Duncan (Surveyor) - Surveying - 1854 - 156 pages
...either side on which the perpendicular will fall from the opposite angle the base, then as the base is to the sum of the other two sides so is the difference of those sides to the difference of the segments made by the perpendicular, then half that difference added to half the sum...
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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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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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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...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
...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 to the sum...sides ; So is the difference of those sides, To the difference of the segments of the base. Then, half the difference of the segments being added to the...
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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 is the difference of those sides to the difference of the segments of the base. Half the difference of the segments thus found, added to the...
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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 is the difference of those sides to the difference of the segments of the base. Half the difference of the segments thus found, added to the...
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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...
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