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الكتب الكتب 51 - 60 من 67 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, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - عدد الصفحات: 262
...rectangle. PROB. XII. — 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. PROB. XllT. — In a triangle, having given the base, the turn...
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The theory of navigation and nautical astronomy, together with the elements ...

William Thomas Read - 1869 - عدد الصفحات: 154
...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 drawn from the opposite angle. Then the half difference added to half the base, gives the segment adjacent...
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Technical arithmetic and mensuration, كتاب 2

Charles Watkins Merrifield - 1873
...8 1 in. Ans. Again: 251^ @ 2s. 6d = 7546^. = £& 8í. 10|</. Ans. 2. If AB = 28, BC = 45, CA = 53, the difference of the segments of the base made by a perpendicular from A on BC = (CA + AB)(CA-AB)-7-BC = 81 x 254-45 = 45 = BC ; Л ABC is a right angle, and the area = £(45...
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Pure mathematics, المجلد 1

Edward Atkins - 1874
...base is a circle. 31. 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. 32. Show that the locus of the middle point of a straight line,...
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Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

Horatio Nelson Robinson - 1875
...area. Whence, PROBLEM XII. 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. Let ACB be the A, (see last figure.) AD=a, BD=b, and CD - x....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - عدد الصفحات: 403
...given straight line. 130. 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. 131. Given the vertical angle, and the lengths of two lines drawn...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - 1877 - عدد الصفحات: 240
...angle to the opposite side, and the perpendicular given, to construct the triangle. 124. Two sides and the difference of the segments of the base made by a perpendicular from the vertical angle to the base given, to construct the triangle. Is there any ambiguity in this Problem ? 125. The base,...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - عدد الصفحات: 182
...produced: EA C is the A. Ex. 46. 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. Take AB = difference of base segments; make £ABC — | given Z, and...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - 1880 - عدد الصفحات: 240
...angle to the opposite side, and the perpendicular given, to construct the triangle. 124. Two sides and the difference of the segments of the base made by a perpendicular from the vertical angle to the base given, to construct the triangle. Is there any ambiguity in this Problem ? 125. The base,...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - عدد الصفحات: 318
...plane triangle, as 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 made by a perpendicular let fall from the vertical angle. 6. In any plane triangle, as twice the rectangle under any two sides...
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