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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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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 440 pages
...on it let fall a perpendicular from the opposite angle. Then, as the base is to the sum of the other sides, so is the difference of those sides to the difference of the segments of the base. Half this difference added to half the base will give the greater segment, and subtracted will give...
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 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 two other sides, as the difference of those sides to the difference of the segmentsLet BA C be a triangle,...
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The Theory of Navigation and Nautical Astronomy: Together with the Elements ...

William Thomas Read - Nautical astronomy - 1869 - 176 pages
...method, though little used, will find an angle, when three sides are given. As the base, or longest side, is to the sum of the other two sides, so is the difference...sides, to the difference of the segments of the base, made by a perpendicular drawn from the opposite angle. Then the half difference added to half the base,...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 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 two other sides, as the difference of those sides to the difference of the segments. Let BA C be a...
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Elements of Surveying and Leveling: With Descriptions of the Instruments ...

Charles Davies - Leveling - 1871 - 448 pages
...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 other two sides, as the difference of those sides, to the difference of the segments. 65. Let BAC be a triangle, and...
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Treatise on the arrangement, application and use of slide rules

Thomas Dixon (engineer.) - 1875 - 158 pages
...side of an Oblique-angled Plane Triangle, to find the Angles. 1stly — As the base, or longest side ; the sum of the other two sides So is the difference of these two sides ; difference of segments of base made by a perpendicular from its opp. angle. The base...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...the sides about the vertical angle to the third side, or base. 5. In any plane triangle, as the base is to the sum of the other two sides, so is the difference...sides to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1890 - 360 pages
...the sides about the vertical angle to the third side, or base. 5. In any plane trianr/le. as the base is to the sum of the other two sides, so is the difference...sides to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane trianr/le, as twice the rectangle...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1890 - 372 pages
...the sides about the vertieal angle to the third side, or base. 5. ln ang plane triangle, as the base is to the sum of the other two sides, so is the differenee of those sides to the differenee of the segments of the base made by a perpendieular let...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - Railroad engineering - 1908 - 386 pages
...the sides about the vertical angle to the third side, or base. 5. In any plane triangle, as the base is to the sum of the other two sides, so is the difference...sides to the difference of the segments of the base made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle...
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