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" 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 0 the given angle. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Page 79
by William Chauvenet - 1898 - 368 pages
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Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...PROPOSITION XVII.—PROBLEM. On a given line to construct a segment of a circle that shall contain an angle equal to a given angle. Let A be the given angle, and BD the given line. At the point B, and with the line BD, make an angle, CBD, equal to A...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...it will also bisect the angle C (III. 11). PROBLEM V. 5i 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 angle...
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Elements of Geometry

George Albert Wentworth - 1881 - 266 pages
...mc AB, § 182 (in equal ® equal chords subtend equal arcs). a E. f PROPOSITION XXVI. PROBLEM. 224. At a given point in a given straight line to construct an angle equal to a given angle. F B & Let C' be the given point in the given line C' В', and С the given angle. It is required to...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...I.) - 3. At a given point in a given line, to construct an angle of 45°. (See Probs. Iand VI.) 4. At a given point in a given straight line, to construct an angle of 30°. (See Prob. XV.) 5. On a given base, to construct an isosceles triangle of which the vertical...
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The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...at E. QEF THE ELEMENTS OF PLANE GEOMETRY. PROS. 5. At a given point in a given straight line to make an angle equal to a given angle. Let A be the given point in the given straight line BC, DEF the given angle : it is required to draw from A a straight line making...
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...therefore AB is bisected at E. QEF ..W & PROB. 5. At a given point in a given straight line to make an angle equal to a given angle. Let A be the given point in the given straight line BC, DEF the given angle : it is required to draw from A a straight line making...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...To erect a perpendicular to a given straight line, at a given point of that line. (6) At a point on a given straight line, to construct an angle equal to a given angle. 3. In any triangle, the square of a side opposite an acute angle is equal to the sum of the squares...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...distant from B and D : hence, AE is perpendicular to BD (BI, P. XVI, C.). PROBLEM IV. At a point on a given straight line, to construct an angle equal to a given angle. Let A be the given point, AB the given line, and IKL the given angle. indefinite arc BO ; then, with a radius equal to the chord...
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A Grammar Shcool Arithmetic

George Albert Wentworth - Arithmetic - 1886 - 392 pages
...number of degrees in each angle, and taking the ratio of the two numbers thus found. 377. PROBLEM. At a given point in a given straight line, to construct an angle equal to a given angle, by means of compasses. Let E be the given point in the line EF, and C the given angle (Fig. 23). It...
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The Elements of Geometry

Webster Wells - Geometry - 1886 - 392 pages
...divided into 4, 8, 1C, etc., equal parts. 98 PROPOSITION XXIX. PROBLEM. 219. At a given point in a straight line to construct an angle equal to a given angle. . Let 0 be the given point in the line OA, and let 0' he the given angle. To construct at 0 an angle equal...
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