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" At a point in a given straight line to make an angle equal to a given angle. "
New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ... - Page 61
by Benjamin Greenleaf - 1873 - 176 pages
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...rectilineal figure equal in all respects to a given rectilineal figure. Proposition 23. 81. At a given point in a given straight line to make an angle equal to a given angle. Let A be the given point, AB be the given line and CDE the given angle ; it is required to draw from A a line making with AB an...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 518 pages
...the three given lines is greater than the sum of the other two. PROPOSITION 23. PROBLEM. At a gieen point in a given straight line, to 'make an angle equal to a given angle. Let AB be the given straight line, and A the given point in it; and let DCE be the given angle. It is required...
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Proceedings of the Edinburgh Mathematical Society, Volumes 11-12

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...lines. Euclid does not use any of the given straight lines as a side of the triangle. I. 23. At a given point in a given straight line to make an angle equal to a given angle. The construction may be effected by 2 R, I. 31.. Through a given point to draw a straight line parallel...
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...equal parts. PROPOSITION XXIII.—PROBLEM. 62. At a given point in a given straight line, to construct an angle equal to a given angle. Let A be the given point in the straight line AB, and O the given angle. With O as a centre, and with any radius, describe an...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...parallelogram equal to a given rectilineal figure, having a side equal to a given straight line, and having an angle equal to a given angle. Let A be the given rectilineal figure, B the given angle, and C the given straight line : it is required to construct...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...possible to construct a triangle with the three straight lines DA, DB, DC. (12.) 8. Show how, at a given point in a given straight line, to make an angle equal to a given angle. A, B, C are three points marked by pegs on a lawn, which is much larger than the triangle ABC ; explain...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 706 pages
...parallelogram equal to a given rectilineal figure, having a side equal to a given straight line, and having an angle equal to a given angle. Let A be the given rectilineal figure, B the given angle, and C the given straight line : it is required to construct...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...KF, FG, GK equal respectively to the three given lines A, B, CQEF PROPOSITION 23. PROBLEM. At a given point in a given straight line, to make an angle equal to a given rectilineal angle. MB Let AB be the given straight line, and A the given point in it, and let LCM be...
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Elementary Geometry, Plane and Solid: For Use in High Schools and Academies

Thomas Franklin Holgate - Geometry - 1901 - 460 pages
...equal, not supplementary. PROPOSITION XXIII 84. At a given point on a given straight line to construct an angle equal to a given angle. Let A be the given angle, m the given straight line, and 0 the given point on it. It is required to construct an angle...
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Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903
...line CD, and it will also bisect the angle C. (Theorem XXXVII.) PROBLEH V. 5. At a given point in a straight line to make an angle equal to a given angle. Let A be the given point in the line AB, and C the given angle. With C as a centre describe an arc DE cutting the sides of the...
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