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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 System of Geometry and Trigonometry: With a Treatise on Surveying : in ... - Page 36
by Abel Flint - 1838 - 334 pages
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Mechanics for Practical Men: Containing Explanations of the Principles of ...

James Hann, Isaac Dodds - Mechanics - 1833 - 234 pages
...planes 50 inches ; required their common height, and the ratio of the weights. Rule. — As the base or longest side is to the sum of the other two sides, so is their difference to the difference of the segments of the base. And half the difference of the segments,...
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1833 - 172 pages
...angles, or 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 System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - Measurement - 1834 - 182 pages
...perpendicular which will divide it into two right angles. 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
....»177.5. Case 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...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...triangle 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...
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Theoretical and Practical Mechanics: Designed Principally for Practical Men

James Hann - Mechanics - 1848 - 352 pages
...planes 50 inches; required their common height, and the ratio of the weights. Rule. — As the base or longest side is to the sum of the other two sides, so is their difference to the difference of the segments of the base. And half the difference of the 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
...of B : 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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A Complete Epitome of Practical Navigation ...

John William Norie - Nautical astronomy - 1852 - 844 pages
...found by Rule I. III. When the three Sides are given, to find the Angles. As the base, or greatest side, Is to the sum of the other two sides, So is the difference of those sides, To the difference of the segments made by a perpendicular let fall from the greatest...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 604 pages
...the 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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