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الكتب الكتب 41 - 50 من 68 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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A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - عدد الصفحات: 450
...(for which the longest side is taken) : sum of the other two sides : : difference of these two sides : difference of the segments of the base made by a perpendicular from its opposite angle. Add this number to, and subtract it from, the base ; then Half sum = greater segment...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - عدد الصفحات: 361
...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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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - عدد الصفحات: 453
...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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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - عدد الصفحات: 490
...rectangle. PROBLEM X. 703. 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. PROBLEM XI. 704. In a triangle, having given the base, the...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...The difference of the squares of the sides of a triangle is equal to the difference of the squares of the segments of the base made by a perpendicular from the opposite angle. 50. The three straight lines bisecting the three angles of a triangle, all meet in...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - عدد الصفحات: 320
...rectangle. PROBLEM X. 703. 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. PROBLEM XI. 704. In a triangle, having given the base, the...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - عدد الصفحات: 410
...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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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - عدد الصفحات: 320
...rectangle. PROBLEM X. 703. 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. PROBLEM XI. 704. In a triangle, having given the base, the...
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