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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: Together with a Treatise on Surveying ... - Seite 28
von Abel Flint - 1804 - 168 Seiten
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A Complete System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1834 - 159 Seiten
...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 System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - 1835 - 334 Seiten
...71° 40' 23 20 95 00 48 23 CASE IV. The three sides given to find the angles. Fig. 49. The solution of this CASE depends on the following PROPOSITION....half the length of the longest side, will give the greatest segment ; and this half difference subtracted from the half sum will be the lesser segment....
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A System of Geometry and Trigonometry: With a Treatise on Surveying; in ...

Abel Flint - 1835 - 334 Seiten
...on the following PROPOSITION. IN EVERYlHhM: TRIANGLE, AS THE LONGEST SIDE is TO THE SUM OF TF^^>THER TWO SIDES, SO IS THE DIFFERENCE BETWEEN THOSE TWO...half the length of the longest side, will give the greatest segment ; and this half difference subtracted from the half sum will be the lesser segment....
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A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - 1838 - 80 Seiten
....»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
...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 - 1842 - 1089 Seiten
...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 - 1848 - 325 Seiten
...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 ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 718 Seiten
...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 - 1852 - 688 Seiten
...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 - 1852
...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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