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الكتب الكتب 11 - 20 من 64 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 of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - 1821 - عدد الصفحات: 408
...Jin the base of any plane triangle is to the sum of the two sides, so is the difference of the sides to the difference of the segments of the base, made by a perpendicular falling from the vertical angle. - For, Let ABC be the proposed triangle, and BD the perpendicular;...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., المجلد 12

William Nicholson - 1821
...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 angle opposite to the base : and if half the difference of the segments be added...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...Rerfnn'<;lp. PROBLKM 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 Sides of the Triangle. PROBLEM X. IN a Triangle, having given the Base, the Sum...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - عدد الصفحات: 551
...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 from the opposite angle, (Trig. Prop. 7.) Then the half difference added to half the base, gives the segment...
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Mathematical and Astronomical Tables: For the Use of Students of Mathematics ...

William Galbraith - 1827 - عدد الصفحات: 322
...three sides are given, I. As the base Is to the sum of the sides ; So is the difference of the sides To the difference of the segments of the base made by a perpendicular upon it, or upon it produced from the opposite angle. It may perhaps be convenient to call the longest...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., المجلد 22

Thomas Curtis - 1829
...any spherical triangle, as ABC, (figs. 22 and 23), the following proportions obtain, AD and DB being the segments of the base made by a perpendicular from the vertical angle. 1. Sin. AC : sin. В С : : sin. В : sin A. 2. Cos. AD : cos. DB : : cos. А С : cos. В С. 3. Sin....
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The Elements of Analytical Geometry ...

John Radford Young - 1833 - 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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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - 1834 - عدد الصفحات: 428
...three sides are given, I. As the base Is to the sum of the sides ; So is the difference of the sides To the difference of the segments of the base made by a perpendicular upon it, or upon it produced from the opposite angle. It may perhaps be convenient to call the longest...
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The Elements of Analytical Geometry ...

John Radford Young - 1835 - 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 A2 = the difference of the...
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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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