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" Given one angle, a side opposite to it, and the difference of the other two sides ; to construct the triangle. "
Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ... - Page 59
by Horatio Nelson Robinson - 1875
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...difference of the other two sides; to construct the triangle. 2. Given one angle, a side opposite to it, and the difference of the other two sides; to construct the triangle. 3. Given the base, and one of the angles at the base; to construct the triangle when the side opposite...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...semicircles ; these circles will be equal. SECTION IX. Page 291. 1. GIVEN one angle,- a side adjacent to it, and the difference of the other two sides ; to construct the triangle. 2. Given one angle, a side opposite to it, and the difference of the other two sides ; to construct...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...the segment of a circle, which shall be similar to a given segment. 2. Given the base, the verticle angle, and the difference of the other two sides, to construct the triangle. 3. The base, the vertical angle, and the altitude, being given to construct the triangle. PROPOSITION...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...containing an angle AEB, equal to the given angle at c. Deductions. 2. Given the base, the verticle angle, and the difference of the other two sides, to construct the triangle. 1. Upon a given finite right line to describe the segment of a circle, which shall be similar to a...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...difference of the sides of a triangle, to construct it. 54. Given one angle, a side opposite to it, and the difference of the other two sides ; to construct the triangle. 55. Given the base, the perpendicular and the sum of the sides ; to construct the triangle. 56. Given...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...inscribe a square in a given equilateral four-sided figure. 29. Given one angle, a side opposite to it, and the difference of the other two sides, to construct the triangle. 28. To inscribe a square in a given quadrant of a circle. 30. Given the perimeter and the vertical...
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Mathematical Recreations: Containing Solutions of Many Very Difficult and ...

Horatio Nelson Robinson - Mathematics - 1851 - 96 pages
...Also the angle AGC=DGF; therefore AGF is a straight line passing through the point of contact G* 20. In any triangle, given one angle, a side adjacent...of the other two sides, to construct the triangle. Let AB be the given side, A the given angle, and AD the given difference of the other two sides. Join...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...of the squares of the bisecting line and of half the base. Given one angle, a side adjacent to it, and the difference of the other two sides; to construct the triangle. Given one angle, a side opposite to it, and the difference of the other two sides; to construct the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...difference of the sides of a triangle, to construct it. 76. Given one angle, a side opposite to it, and the difference of the other two sides ; to construct the triangle. 77. Given the base and the sum of the two other sides of a triangle, construct it so that the line...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...to the part between the given point and the nearest line. 9. Given one angle, a side adjacent to it, and the difference of the other two sides, to construct the triangle. 10. Given one angle, a side opposite to it, and the difference of the other two sides, to construct...
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