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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. "
Elements of Plain and Spherical Trigonometry: Together with the Principles ... - Page 41
by John Harris - 1706 - 253 pages
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 12

William Nicholson - Natural history - 1821 - 356 pages
...To the side DC required 144.8 Aaeiom IV. In any plane triangle, as the base, or greater side, is to the sum of the other two sides ; so is the difference of the sides to the difference of the segments of the base, made by a perpendicular let fall from the...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...two right-angled triangles : then the proportion will be. As the base, or sums of the segments, Is to the sum of the other two sides ; So is the difference of those sides, To the diff. of the segments of the base. Then take half this difference of ihe segments,...
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A treatise on navigation, and nautical astronomy

Edward Riddle - Nautical astronomy - 1824 - 572 pages
...first case. 3. When the three sides are given to find the angles. As the base, or longest side, 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, made by a perpendicular from the opposite...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...the diameter of a circle circumscribing the triangle. Rule—As the whole length of the base 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 said difference added to half the...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...the diameter of a circle circumscribing the triangle. Rule — As the whole length of the base 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 said difference added to half...
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A complete treatise on practical land-surveying

Thomas Holliday - Surveying - 1838 - 404 pages
...3rd. When the three sides are given to find the angles. Rule.—As the base or greatest side is to the sum of the other two sides, so is the difference of the sides to the difference of the segments of the base made by a perpendicular, let fall from the...
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 pages
...triangle into two right-angled triangles. Then, by the common rule of proportion, As the whole base 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. Then, half this difference of segments added...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...into two right-angled triangles, the proportion will be — 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. Then take half the difference of these segments,...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...: AC. CASE 4thi Having the three sides, to find any angle. RULE. As the longest side or base, 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, formed by a perpendicular let fall from...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 604 pages
...whole triangle into two right-angled triangles ; it will be, 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. Then, half the difference of the segments...
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