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" At a point in a given straight line to make an angle equal to a given angle. "
Elements of Geometry: With Practical Applications to Mensuration - Page 120
by Benjamin Greenleaf - 1863 - 320 pages
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Adrien Marie Legendre, Charles Davies - Geometry - 1885 - 540 pages
...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 LI, from B as a centre,...
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Proceedings of the Edinburgh Mathematical Society, Volumes 5-6

Edinburgh Mathematical Society - Mathematics - 1887
...BE equal to BC, and DF equal to DE. AF is the straight line required. 7. Euclid I. 3. 8. At a given point in a given straight line to make an angle equal to a given angle. Euclid I. 23. Tartaglia's solution. If the aperture is too small, which will be the case when the given...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 331 pages
...equal parts. PROPOSITION XXIIL—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 ABj and 0 the given angle. ^^ With 0 as a centre, and with any radius, describe...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...b < a ; 3░, let O' meet on BC only, so that X, Y coincide, Proposition 23. PROBLEM — At a given point, in a g'iven straight line, to make an angle equal to a given angle. A Let A be given ; and let P be given pt. in given st. line PS. Take any two pts. B, C in the lines...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...KF, FG, GK=A, B, C. _'K. ''. A / l/\\ , ' '\ N 1 IF G 5 'HE ML PROPOSITION 23. PROBLEM. 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 the point in it, and DCE the given rectilineal...
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The Colliery Engineer Pocket-book of Principles Rules, FormulŠ, and Tables ...

Thomas J. Foster - Coal mines and mining - 1891 - 415 pages
...% of AB, describe two arcs cutting each other at D, and draw the line D C. At a point on a iriveii straight line, to make an angle equal to a given angle.—...point, AB the given line, and EFG the given angle. From F as a center, with any radios FG describe the arc E G. From A as a center, with the same radius, describe...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 1

James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...be equal to three given straight lines, any two of which are greater than the third. 23. At a given point in a given straight line, to make an angle equal to a given angle. 25. If two triangles have two sides of the one respectively equal to two sides of the other but the...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...to three given straight lines, any two of which are together greater than the third. 23. At a given point in a given straight line to make an angle equal to a given rectilineal angle. 24. If two triangles have two sides of the one equal to two sides of the other,...
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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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