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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 O the given angle. "
Mechanical Drawing ... - Page 168
by Frank William Bartlett - 1911 - 164 pages
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...Which was to be done. PEOP. XXXIV. PEOB. From a given circle to cut off a segment which shall contain an angle equal to a given angle. Let ABC be the given circle, and D the given angle. It is required from the circle ABC to cut off a segment which shall...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...circumference thus drawn. 148. PROP. LI. From a given circle to cut off a segment, which shall contain an angle equal to a given angle*. Let ABC be the given circle, A and B being any points in its circumference; through B draw BD touching the circle (135)...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...produced, D will give the parallel as required to A B. PROBLEM 11. Fig. 31. To lay down on the ground an angle equal to a given angle. Let ABC be the given angle ; from B to C measure off any convenient distance as BC, and from C set up the perpendicular CD, intersecting...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1871 - 490 pages
...B and D : hence, AE is perpendicular to BD (B. L, 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. From the vertex K as a centre, with...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...into 4, 8, 16, 32, etc., equal parts. PROPOSITION XXIX.—PROBLEM. 74. 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. With 0 as a centre and with any...
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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
...given line. PROPOSITION XXXIV. PROBLEM. To cut off a segment from a given circle, capable of containing an angle equal to a given angle. Let ABC be the given © , and D the given L . It is required to cut off from © ABC a segment capable of containing an L...
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First book of mathematics

Hugo Reid - Mathematics - 1872 - 148 pages
...parallels are equal. Problem 27. 146. To make a parallelogram equal to a given triangle, and hawing an angle equal to a given angle. Let ABC be the given triangle, and D the given angle. Fie. 35 Bisect BC in E. At E in the line EC, make the angle FEC, equal...
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The elements of geometry, in eight books; or, First step in applied logic

L J V. Gerard - 1874 - 428 pages
...tangent circumferences, are equal to each other (I. 72). PROBLEMS. PRORLEM 1. At a point given in a given straight line, to construct an angle equal to a given angle. Let XY be the given straight line, A the point given in it and BCD the given angle. From the centres C...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...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, aiid IKL the given angle. From the vertex A" as a centre....
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Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...angle may be divided into 4, 8, 16, 32, &c., equal parts. xxiv. Problem. At a given point in a given straight line to construct an angle equal to a given angle. Let A be the point in the given straight line AB, and C the given angle. It is required to construct an...
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