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" AB describe a segment of a circle containing an angle equal to the given angle, (in. "
Constructive geometry of plane curves - Page 287
by Thomas Henry Eagles - 1885
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The Mathematician, Volume 2

1847 - 364 pages
...intersecting CB in C : take CH and CL, each equal to the sum of the sides, and draw HL and HO. On HO describe a segment of a circle containing an angle equal to the angle CLH and let it intersect CL in B : draw BA touching the circle DEF in F, and ABC is the triangle...
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Annual Report of the Commissioners ..., Volume 17, Part 2

1851 - 428 pages
...external to, or wholly internal to, but not concentric with, the other. 3. On a given unite straight line, describe a segment of a circle, containing an angle equal to the three-fourths of a right-angle. 4. Show that if d be the distance in miles of the offing, and h the...
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Elementary Trigonometry ...

Thomas Percy Hudson - Trigonometry - 1862 - 218 pages
...at P by the two sides of the triangle AB, BC respectively. Upon AB, [figs. (1) and (2),] on the map describe a segment of a circle containing an angle equal to the observed angle APB. Similarly upon BC describe a segment containing an angle equal to the observed...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...vertical angle, and the perpendicular in a plane triangle, to construct it. Upon the given base AB describe a segment of a circle containing an angle equal to the given angle, (in. 33.) At the point B draw BC perpendicular to AB, and equal to the altitude of the...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...vertical angle, and the perpendicular in a plane triangle, '- — 'struct it. Upon the given base AB describe a segment of a circle containing an angle equal to the given angle. (in. 33.) At the point B draw BC perpendicular to AB, and equal to the altitude of the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...vertical angle, and the perpendicular in a plane triangle; to construct it. Upon the given base AB describe a segment of a circle containing an angle equal to the given angle, (in. 33.) .v B At the point B draw BC perpendicular to AB, and equal to the altitude of...
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...is to n. Take any straight line MN, and divide it at D so that DM may be to DN as m is to n. On MN describe a segment of a circle containing an angle equal to the angle BAC; draw DE at right angles to MN meeting the circumference at E. Join EM and EN. Then ED shall...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...points where the two tangents AB, AC meet the circle. PROPOSITION V. PROBLEM. Upon the given base All describe a segment of a circle containing an angle equal to the given angle, (in. 33.) At the point JB draw BC perpendicular to AB, and equal to the altitude of the...
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Plane and Spherical Trigonometry, Part 1

Henry W. Jeans - 1873 - 272 pages
...First solution (geometrically). Upon the line AB=400 yards, the distance between the objects A and B, describe a segment of a circle containing an angle equal to the given angle (35° 10') (Euclid III. 33), and measure a perpendicular distance CD=560 yards, the width,...
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Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ...

Henry William Jeans - 1873 - 292 pages
...First solution (geometrically). Upon the line AB=400 yards, the distance between the objects A and B, describe a segment of a circle containing an angle equal to the given angle (35° 10') (Euclid III. 33), and measure a perpendicular distance CD=560 yards, the width...
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