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" 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. "
New Series of The Mathematical Repository - Side 98
av Thomas Leybourn - 1819
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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - 1810 - 662 sider
...As the greatest aide Is to the sum of the oilier two «ides, So is the difference of thoac sides To the difference of the segments of the base made by a perpendicular, let (all from the angle opposite the base. The «ids BA 88, BC 54, AC 1 08, given t;i find the angles...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 276 sider
...it will be, as the base, to the sum of the two other 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. From the centre c (namely, the vertical angle of the triangle ABC)...
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The Mathematical Questions Proposed in the Ladies' Diary: And Their ..., Volum 4

Thomas Leybourn - 1817 - 454 sider
...QUESTION 1242, by Mr. John Dewhurst, Blackburn. Given the difference of the angles at the base, and the difference of the segments of the base, made by a perpendicular from the vertex ; to construct the triangle when the rectangle under the sum and difference of the sides is...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1818 - 488 sider
...I. As the longest side, taken as a base : sum of the other two sides : : difference of those sides : difference of the segments of the base, made by a perpendicular from the opposite ^ . the greater segment, or that next the greater side ; . and subtracted from it, gives the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 sider
...perpendiculars. (17.) 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. Let AB be equal to the given difference of the segments of the...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 sider
...perpendiculars. (17.) 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 J'rom the vertex ; to construct the triangle. Let AB be equal to the given difference of the segments...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volum 12

William Nicholson - 1821 - 356 sider
...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 Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - 1821 - 426 sider
...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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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 12

William Nicholson - 1821 - 356 sider
...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 12.02862 9.86786 2.16076...
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A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 sider
...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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