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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. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Σελίδα 295
των Miles Bland - 1821 - 438 σελίδες
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The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

John Hamilton Moore - 1810 - 336 σελίδες
...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...

Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Olinthus Gregory - 1816 - 244 σελίδες
...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)...

The Mathematical Questions Proposed in the Ladies' Diary: And Their ..., Τόμος 4

Thomas Leybourn - 1817
...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 a maximum....

The Mathematical Questions Proposed in the Ladies' Diary: And Their ..., Τόμος 1

Thomas Leybourn - 1817 - 840 σελίδες
...is 96 chains ; ^ of the base or longest side is just equal to tiie difference of the other two ; and the difference of the segments of the base made by a perpendicular from the opposite angle is 2, chains less than the shortest side. The land is to be divided amongst three men,...

A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1818 - 438 σελίδες
...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...

New Series of The Mathematical Repository, Τόμος 4

Thomas Leybourn - 1819
...given circle to inscribe a triangle, such that the difference of its sides shall be in a given ratio to the difference of the segments of the base made by a perpendicular from the vertical angle ; and the prism, whose base is the triangle and altitude the said perpendicular a maximum....

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 σελίδες
...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 base. Draw...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 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 12.02862 9.86786 2.16076...

A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

Thomas Simpson - 1821 - 408 σελίδες
...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;...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 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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