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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 System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1818 - 168 Seiten
...40' 23 20 1 95 00 48 20 CASE IV. y Tht three Sides given to find the Angles. Fig. 50. The solution of this CASE depends on the following PROPOSITION....half the Sum of the Segments, that is to half the krigth of the longest Side will give the greatest Segment ; and this half Difference subtracted from...
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A Course of Mathematics: For the Use of Academies, as Well as Private Tuition

Charles Hutton - 1818
...right-angled triangles : then the proportion will be, As , As the base, or sums of the segments, 1s 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 the segments,...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Band 12

William Nicholson - 1821
...986786 To the side DC required 144.8 2.16U76 .Axiom If. 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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American Edition of the British Encyclopedia: Or, Dictionary of ..., Band 12

William Nicholson - 1821
...2.03743 9-99116 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 - 1822
...into 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 - 1824 - 551 Seiten
...appropriate analogy in the 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 System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

Abel Flint - 1825 - 241 Seiten
...TRIGONOMETRY. CASE IV. The three Sides given to find the Angles. Fig. 50. Fig. 50. A. 105 B 2J 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 - 1830 - 284 Seiten
...given tojlnd the angles. Fig. 49. The solution of this CASE depends on the following PROPOSITION. Itf EVERY PLANE TRIANGLE, AS THE LONGEST SIDE IS TO THE...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 System of Mensuration of Superficies and Solids, of All Regular ...

Tobias Ostrander - 1833 - 159 Seiten
...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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Mechanics for Practical Men: Containing Explanations of the Principles of ...

James Hann, Isaac Dodds - 1833 - 208 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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