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الكتب الكتب 21 - 30 من 70 فيIn a triangle, having given the ratio of the two sides, together with both the segments....
" In a triangle, having given the ratio of the two sides, together with both the segments of the base, made by a perpendicular from the vertical angle, to determine the sides of the triangle. "
New Series of The Mathematical Repository - الصفحة 47
بواسطة Thomas Leybourn - 1819
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - عدد الصفحات: 359
...the rectangle. PROBLEM IX. In a triangle, having given the ratio of the two sides, together with both the segments of the base made by a perpendicular from the vertical angle ; to determine the triangle. PROBLEM X. In a triangle, having given the base, the sum of the other...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - 1837 - عدد الصفحات: 390
...AB; that is, sinJ(A — B):sinl(A + B) ::a — b:c. PROP. V. THEOR. IN any plane triangle, the sum of the segments of the base made by a perpendicular from the vertex, is to the sum of the other sides, as the difference of those sides to the difference of the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...RULE. As the base or longest side : the sum of the other two sides, : : difference of those sides . the difference of the segments of the base, made by a perpendicular from the vertical angle. Having thus the sum and difference of these segments, the greater and less segments themselves become...
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A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - 1838 - عدد الصفحات: 80
...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 greater angle upon the base. Then half this difference being added to half the base,...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - عدد الصفحات: 605
...which were to be determined. 9. In a triangle, having giren the ratio of the two sides, together with the segments of the base, made by a perpendicular from the vertical angle ; to determine the sides of the triangle. Put a and b for the two segments of the base, x for the side...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...construct the triangle. 61. Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex: to construct the triangle. 62. Given the three distances of a point within a square from three...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...given straight line. 61. Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex; construct the triangle. 62. On a given straight line to describe a triangle having its vertical...
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A system of practical mathematics; being no.xvi. of a new series of school-books

1845
...from (arts. 36 and 59), and (Alg. 69). 7. Prove that the difference of the sides of a triangle, is to the difference of the segments of the base made by a perpendicular upon it from the vertex, as the cosine of half the sum of the angles at the base, is to the cosine...
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The first six and the eleventh and twelfth books of Euclid's Elements; with ...

James Thomson - 1845 - عدد الصفحات: 358
...is, sin j (A — B) :sinJ(A + B) :: a— b : c. PROP. V. THEOR. — In any plane triangle, the sum of the segments of the base made by a perpendicular from the vertex, is to the sum of the other sides, as the difference of those sides to the difference of the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...AB.AF + AD.AH=AC.AG. 100. Given the vertical angle, the difference of the sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex : construct the triangle. BOOK IV, DEFINITIONS. i. A RECTILINEAL figure is said to be inscribed...
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