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الكتب الكتب 31 - 40 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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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - 1848 - عدد الصفحات: 288
...Given one side, the difference between the square of the other side, and the square of the base, and the difference of the segments of the base, made by a perpendicular from the vertical angle, of a plain triangle, to determine the triangle. Put a = the given sides 62 = the difference of the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides - 1849
...the greatest angle ? 37. 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. THEOREMS. 1. If two circles cut each other, the straight line joining...
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THE ELEMENTS OF ANALYTICAL GEOMETRY; COMPREHENDING THE DOCTORINE OF THE ...

J.R. YOUNG - 1850
...Given one side, the difference between the square of the other side, and the square of the base, and the difference of the segments of the base, made by a perpendicular from the vertical angle, of a plain triangle, to determine the triangle. Put a = the given sides Z?2 = the difference of the...
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MATHEMATICAL RECREATIONS: CONTAINIG SOLUTIONS OF MANY VERY DIFFUCULT AND ...

H.N. ROBINSON - 1851
...AC in E. Join EF ; produce AC to D,, and join DB & BE. AE is the difference of the sides, and AF is the difference of the segments of the base made by a perpendicular from C, The triangle AEF gives the following proportion : This proportion is the theorem, as will appear...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...rectangle. PEOBLEM 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. PEOBLEM X. — In a triangle, having given the base, the sum of the two...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...triangle, to find the base. Ans. (a + i, , — ^ 9. In a triangle, having given the segments (p, 7) of the base made by a perpendicular from the vertical angle, and the ratio (m : 1) of the two sides, to find the sides. An, 10. In a right-angled triangle the lengths of...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1854 - عدد الصفحات: 432
...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 two...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - 1854 - عدد الصفحات: 335
...the sides of spherical triangles are proportional to the sines of their opposite angles. 2. The sines of the segments of the base, made by a perpendicular from the opposite angle, are proportional to the cotangents of their adjacent angles. 3. The cosines of the...
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Key to Davies' Bourdon: With Many Additional Examples, Illustrating the ...

Charles Davies, M. Bourdon (Louis Pierre Marie) - 1856 - عدد الصفحات: 205
...values x. PROBLEM IX. — In a triangle, having given the ratio of the two sides, tor/ether with both the segments of the base made by a perpendicular from the vertical angle, to determine the triangle. Let ACB be a triangle, and CD a line drawn perpendicular to the base AB....
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - 1859 - عدد الصفحات: 193
...B. (216.) Cor. 1. In any spherical triangle, the cosines oftht sides are proportional to the cosines of the segments of the base, made by a perpendicular from the opposite angle. For, by Theorem I., Cor. 2, cos. CD : R : : cos. AC : cos. AD. Also, cos. CD : R :...
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