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" Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. "
First lessons in Plane Geometry. Together with an application of them to the ... - Page 195
by Francis Joseph Grund - 1830 - 12 pages
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...centre of the circle. JUNE, 1908 1. The diagonals of a parallelogram bisect each other. 2. Show how, upon a given straight line, to describe a segment of a circle which shall contain an angle of given magnitude. 3. If C be the middle point of AB and CD be the line through C perpendicular...
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Annual Report of the Department of Public Instruction of the State of Indiana

Indiana. Department of Public Instruction - Education - 1915 - 658 pages
...equilateral triangle with side u is inscribed in a circle, find radius of the circle in terms of a. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. Trove. The sides of a right triangle arc as n :):.". The altitude upon (he hypotenuse is 12 ft. Find...
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Examination Papers for Admission to the United States Naval Academy ...

United States Naval Academy - 1914 - 110 pages
...2 feet? (d) Show (1) how to trisect a line, (2) how to bisect an angle. Upon a given straight line describe a segment of a circle which shall contain a given angle. Question 2. (a) The two legs of a right triangle are 20 and 21 inches. Find the length of the perpendicular...
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The School Review, Volume 10

Education - 1902 - 874 pages
...circumference at /-"and construct a square on DF. Then DF*, S in the figure, is the required polygon. QEI 5) Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. Let AB be the given line, and Af the given angle. Construct...
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Texas School Journal, Volume 14

Education - 1896 - 606 pages
...chords, the shorter is the greater distance from the center. Demonstrate. 7. On a given straight line describe a segment of a circle which shall contain a given angle; that is, a segment any angle described in which shall be equal to a given angle. 8. The square described on the hypotenuse...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. 12. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. ^---i" EUCLID I. II. Examiner.— REV. SW WAYTE. 1. Define...
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Parliamentary Papers, Volume 40

Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...same straight line. 2. To describe a square which shall be equal to a given rectilineal figure. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 289. D SECTION SECTION II. Solve one of the following...
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Proceedings of the Edinburgh Mathematical Society, Volume 5

Edinburgh Mathematical Society - Electronic journals - 1887 - 162 pages
...equal to the angle DFE ; and join AG. AG is the tangent required. 14-15. Euclid III. 25, 34. 16. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Euclid III. 33. See figure 28. Let AB be the given straight line,...
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Information Relative to the Appointment and Admission of Cadets to the ...

Military Academy, West Point - 906 pages
...difference of the angles A and B. wt. 12 Theorem : The altitudes of a triangle meet In a point. 10 Problem : Upon a given straight line to describe a segment of a circle which »hull contain a given angle. 1O Problem : Through a given point without a given circle to draw a secant...
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