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" 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 - Side 28
av Thomas Leybourn - 1819
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The Student: No. 1-4 (to be Continued Annually Containing Many Curious ...

W. Hilton - 1797 - 308 sider
...Elliott, and Sc'hven. . : : . QUESTION 16. By Mr. Join Brookes. GIVEN the difference of the sides, the difference of the segments of the base made by a perpendicular from the vertical angle, and the radius of the inscribed circle to construct, the triangle. Answered by Mr. R. Nicholson. ANALYSIS....
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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - 1810 - 662 sider
...be, 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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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 sider
...Rectangle. PROBLEM 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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The Leeds Correspondent, Volum 1

John Ryley, John Gawthorp, John Whitley - 1815 - 308 sider
...the base and vertical angle of a plane triangle to construct it, when the difference of the sides has a given ratio to the difference of the segments of the base. Solution ly Mr. J. WAINMAN, Burley-Mill. , It is well known, that the base is to the sum of the sides,...
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Elements of Plane and Spherical Trigonometry

Olinthus Gregory - 1816 - 278 sider
...triangle 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 3

Thomas Leybourn - 1817 - 456 sider
...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 plane triangle : to determine the triangle. Answered by Amicus. Produce the given difference AD...
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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
...difference of the angles at the base> the ratio of the sides, and the length of a third proportional to the difference of the segments of the base made by a perpendicular from the vertex and the shorter side { to construct the triangle. Let ABC be equal to the given difference of...
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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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