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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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Plane Geometry

Edward Brooks - 1901 - 278 pages
...XII.) ; therefore the circle will be inscribed in the triangle. QEF PROPOSITION XVIII. — PROBLEM. Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line, and M the given angle. It is required to describe a segment on the...
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Examination Papers

University of Toronto - 1901 - 1192 pages
...by the whole line and one part shall be equal to the square on the other part. (Eue. II, 11.) 2. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. (Eue. Ill, 88.) 3. To circumscribe a square about a given circle....
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Annual Reports of the Secretary of War, Volume 4

United States. War Department - 1903 - 438 pages
...the angles opposite are unequal, and the greater angle is opposite the greater side. 2. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. 8. Theorem. — If in a right triangle a perpendicular is...
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Annual Reports of the War Department, Volume 4

United States. War Department - 1903 - 446 pages
...the angles opposite are unequal, and the greater angle is opposite the greater side. 3. Problem. — Upon a given straight line, to describe a segment of a circle in which a given angle may be inscribed. 3. Theorem. — If in a right triangle a perpendicular is...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...chord from the middle point of either arc cut off by the chord are equal. PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. HH D\ Let AB be the given st. line, and C the given angle. It is required...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...253 In like manner, we may prove EH tangent to the given O. QEF PROPOSITION XXXVIII. PROBLEM. 318. 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 M the given angle. Construct...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 431 pages
...in a semicircle is a rt. Z." 277 .-. PH and PK are tangents. 252 PROPOSITION XXX. PROBLEM 304 Upon a given straight line, to describe a segment of a circle which shall contain a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment of a circle upon...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...^." 277 .-. PH and PK are tangents. 252 PLANE GEOMETRY — BOOK II PROPOSITION XXX. PROBLEM 304 Upon a given straight line, to describe a segment of a circle which shall contain a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment of a circle upon...
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Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...triangle will be equal to the perpendicular let fall from one of its angles upon the opposite side. 7. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal (acute) angle. 8. Prove that the opposite angles of a quadrilateral...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...draw a common tangent to two circles. 185 THE CONSTRUCTION OF CIRCLES - - - - - - 188 PROBLEM 24. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. 190 COR. To cut off from a given cirole a segment containing a given...
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