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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 Treatise on Plane and Spherical Trigonometry: With Their Most Useful ... - Página 17
por John Bonnycastle - 1806 - 419 páginas
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 442 páginas
...triangle into two right-angled triangles : then the proportion will be, As 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 diff. of the segments of the base. Then take half this difference of the segments, and add it to the...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

Charles Hutton - 1811 - 494 páginas
...triangle into two right-angled triangles : then the proportion will be, As As the base, or sum of the segments, Is to the sum of the other two sides; So is the difference o£ those sides, To the diff. of the segments of the base. Then take half this difference of the segments,...
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A Treatise on Surveying, Containing the Theory and Practice: To which is ...

John Gummere - 1814 - 398 páginas
...• , As the base, or sum of the segments, * ;'• .Is to the sum of the other two sided ; . 'f • So is the difference of those sides, To the difference of the segments of the base.* * •' *~ * • • . ».» »"••••••.'.. "• * DEMONSTRATION. Let ABC, Fig. 48, be a...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 276 páginas
...sides as base, then say, conformably with chap. ii. prop, 16. As the base, To the sum of the two other sides ; So is the difference of those sides, To the difference of the segments of the base. Half the base added to the said difference, gives the greater segment, and made less by it gives the...
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A Treatise on Surveying: Containing the Theory and Practice : to which is ...

John Gummere - 1817 - 392 páginas
...segments, and the whole triangle into two right angled triangles. Then, As the base, or sum of the segments, Is to the sum of the other two sides ; ,...sides, To the difference of the segments of the base.* * DEMONSTRATION. Let ABC, Fig. 48, be a triangle, and CD be perpendicular upon AB. About C as a centre...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volumen1

Charles Hutton - 1818 - 646 páginas
...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, and add it t« the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...base ; the sum of the segments of the bast is to the sum of the other two sides of the triangle as the difference of those sides to the difference of the segments of the base. For (K. 6.), the rectangle under the sum and difference of the segments of the base is equal to the...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volumen12

William Nicholson - 1821 - 356 páginas
...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 ..., Volumen12

William Nicholson - 1821 - 356 páginas
...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 - 616 páginas
...triangle 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, and add it to the...
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