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" Prove that the sum of the angles of a regular five point star (Fig. 101) is two right angles. Show, also, that the figure formed by the intercepted portions of the lines is a regular pentagon. 638. If the sides of a regular hexagon are produced till they... "
A Treatise on Special Or Elementary Geometry: An advanced course in geometry - Page 246
by Edward Olney - 1872 - 84 pages
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...Describe a circle which shall pass through two given points, and have its centre in a given line. 8. From two given points on the same side of a given line, draw two lines which shall meet in that line and make equal angles with it. 9. On a given line describe...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...Describe a circle which shall pass through two given points, and have its centre in a given line. 73. From two given points on the same side of a given line, draw two lines which shall meet in that line and make equal angles with it. 74. Through a given point...
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Annual Report

1868 - 876 pages
...intercepted between the perpendicular (let fall upon it from the opposite angle) and the acute angle 25 •J. From two given points on the same side of a given line, draw two lines which shall meet in that line and make equal angles with it 25 100 B. Lists of Pupils...
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An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...53.) 56. Through a given point to draw a line at equal distances from two other given points. . 58, From two given points on the same side of a given line to . draw two lines meeting in the first line and making equal angles -with it. 59, From a given point...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...required triangle. Let the student give the solution in full, and the proof. A c E. Fio. 413. 759. From two given points on the same side of a given line, to draw two equal straight lines which shall meet in the same point of the line. 760. To pass a circumference...
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A Treatise on Special Or Elementary Geometry: In Four Parts ..., Part 3

Edward Olney - Geometry - 1872 - 96 pages
...is the required triangle. Let the student give the solution in full, and the proof. A c FIG, 413. . From two given points on the same side of a given line, to draw two equal straight lines which shall meet in the same point of the line. 760. To pass a circumference...
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An Elementary Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1873 - 288 pages
...53.) 56. Through a given point to draw a line at equal distances from two other given points. 58« From two given points on the same side of a given line to draw two lines meeting in the first line and making equal angles with it. 59« From a given point...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1876 - 354 pages
...hexagon are produced till they meet, show that the exterior figures will be equilateral triangles. G39. If from two given points on the same side of a given...meeting in the line, their sum is least when they 8 make equal angles with the line. 640. If from two given points without a circumference, two lines...
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A Treatise on Special Or Elementary Geometry: Including an Elementary, and ...

Edward Olney - Geometry - 1879 - 502 pages
...outer circumference is bisected by the inner. 800. — The demonstration is based upon (15!), 211). A 637. Prove that the sum of the angles of a regular...circumference, two lines be drawn meeting in the circumference, sum is least when they make equal angles with a tangent at the common point, the points being on the...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...remaining. SELECTIONS COLENSO'S GEOMETRICAL EXERCISES AND KEY. EXERCISES. I. — RECTILINEAR FIGURES. Ex. I. From two given points on the same side of a given line, draw two lines which shall meet in that line and make equal angles with it. Given A, B; draw AC \....
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