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" Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle. "
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry - Page 38
by John Playfair - 1829 - 186 pages
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...and the angle B to E. PROPOSITION XXVII. PROB. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A a given point in it, and DCE the given rectilineal angle, it is required to make an angle at the point...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...one of which shall be to the base of the other, as the one solid is to the other. PROPOSITION XXVI. PROBLEM. At a given point in a given straight line, to make a solid angle equal to a given solid angle contained by three plane angles. PROPOSITION XXVI1. PROBLEM....
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...therefore the triangle KFG has its sides KF, FG, GK, equal to the given straight lines A, B, C. Q, EF PROP. XXIII.— PROBLEM. At a given point in a given straight line to construct a rectilineal angle equal to a given rectilineal angle. (References — Prop. i. 8, 22.)...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...KFG has its three sides KF, FG, GK equal to the three qiven straight lines A,B,CQEF PROPOSITION 23. PROBLEM. At a given point in a given straight line,...rectilineal angle equal to a given rectilineal angle. Let AJJ be the given straight line, and A the given point in it, and DCE the given rectilineal angle :...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Modern - 1868 - 286 pages
...at or near its extremity. 79. This is usually done by constructing some portion of the above figure. Let AB be the given straight line, and A the given point. 1st Method. With A as centre, describe an arc abd; with the same radius, taking a as centre, mark an...
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An Elementary Course of Plane Geometry

Richard Wormell - Geometry, Plane - 1870 - 304 pages
...at or near its extremity. 79. This is usually done by constructing some portion of the above figure. Let AB be the given straight line, and A the given point. ist Method. With A as centre, describe an arc abd; with the same radius, taking a as centre, mark an...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...described as reqd. 0. EP Ex. Draw an isosceles triangle having each of the equal sides double of the base. PROPOSITION XXIII. PROBLEM. At a given, point in a given straight line, to make an angle equal to a given angle. Let A be the given pt., BC the given line, DEF the given L . It is...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 588 pages
...the circle. XXXIII. — Upon a given straight line to describe a segment of a circle, to contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the given rectilineal angle. First let C be a right angle. Bisect [c AB in F, and from the centre...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...three sides KF, FG, GK equal to the three given straight lines A, B, C. <JE /'. Proposition 23.— Problem. At a given point in a given straight line,...given rectilineal angle. Let AB be the given straight lino, and A the given point in it, and DCE the given rectilineal angle. It is required to take an angle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...33. — Problem. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle C the given rectilineal angle. It is required to describe upon the given straight line AB,...
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