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" Through a given point to draw a line parallel to a given line. "
A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ... - Page 14
by Horatio Nelson Robinson - 1853 - 101 pages
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Elements of Geometry

abbé Rossignol (Jean-Joseph) - Geometry - 1787 - 190 pages
...angles r, s, are therefore equal, and confequently ''the lines BA, DC are parallel. PROP. XXI. Through a given point to draw a line parallel to a given line. Let G be the point through which it is required to draw a line parallel to the given line MF. From any...
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The principles of architecture, Volume 1

Peter Nicholson - 1809 - 426 pages
...angle into two equal angles . 6 VI. To trisect a right angle into three equal angles . 7 VII. Through a given point, to draw a line parallel to a given line . . . ,7 VIII. To divide a given line into any proposed number of equal parts . . . .8 I'KOB. lt'-1...
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Annual Report of the Board of Education, Volume 56

Massachusetts. Board of Education - Education - 1893 - 504 pages
...20.* When a line crosses two parallel lines, compare the alternate angles. They are equal. 21. Through a given point to draw a line parallel to a given line. 22.* Oblique lines, extending from a point in one of two perpendicular lines to points equally distant...
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The American House-carpenter: A Treatise Upon Architecture, Cornices and ...

Robert Griffith Hatfield - Architecture - 1845 - 326 pages
...therefore, is equal to | of a quadrant ; and this is equal to a right angle. Fig. 36. 79. — Through a given point, to draw a line parallel to a given line. Let a, (Fig. 36,) be the given point, and bc the given line. Upon any point, as d, in the line, bc, with the...
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Elemento of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - Mathematics - 1848 - 338 pages
...б'82 1'19 6'7б 0^ 4'33 4'87 2'1б 7'12 30'34 20Ю5 20'05 10'29 PLOTTING. 217 PROBLEM II. Through a given point to draw a line parallel to a given line. Set one foot of the dividers in the given point, P, and with any convenient centre describe the circumference...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...equal to the angle K (Bk. I. Th. viii). PROBLEM IX. Through a given point to draw a line that shaft be parallel to a given line. Let A be the given point and p .g BC the given line. I ..••'""""'A With A as a centre, and any ra- \ _.-.'"' I J^"ff J--I-IT-—...
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Young Scientist: A Practical Journal for Amateurs, Volume 1

1851 - 716 pages
...To describe a given angle m, on a given straight line ab, at a given point a (fig. 27). 3. Through a given point, to draw a line parallel to a given line. 4. To bisect a given angle (pi. 2, fig. 77). 5. To bisect a given line (fig. 75). 6. To draw a perpendicular...
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Iconographic Encyclopaedia of Science, Literature, and Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...To describe a given angle m, on a given straight line ab, at a given point a (fig. 27). 3. Through a given point, to draw a line parallel to a given line. 4. To bisect a given angle (pi. 2, fig. 77). 5. To bisect a given line (fig. 75). 6. To draw a perpendicular...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...points be situated : or again, whether the points be in a specific line or not. PROPOSITION III. Through a given point to draw a line parallel to a given line. ' Let ab be the projection of the given line figured at a and b, and let a' be the projection of the given...
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Elements of Geometry, Plane and Spherical Trigonometry and Conic Sections

Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...center, with FO as a radius, equal to ED, describe an arc, cutting the other arc in G, and join AG; GAP will be the angle required. Proof, (th. 5, b. 3)....parallel to a given line. Let A be the given point, and C£ the given line. Draw AB, making an angle, ABC; and from the given point, A, in the line AB, draw...
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