| abbé Rossignol (Jean-Joseph) - Geometry - 1787 - 190 pages
...alternate 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... | |
| Peter Nicholson - 1809 - 426 pages
...given 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... | |
| Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...whence the triangles AGC and BGH are equal (I. 23.), and therefore AG is equal to BG. PROP. III. PROB. Through a given point, to draw a line parallel to a given straight line. Let it be required, by a rectilineal copstruction, to draw through C a parallel to Cr... | |
| Peter Fleming - Surveying - 1815 - 250 pages
...^„,^.,v«v^,.^™..4,,.v from a given point without a straight line, 7 7. To bisect a straight line, - .... ibid. 8. Through a given point, to draw a line parallel to a given straight line, ibid. 9. Upon a straight line to construct a square, - 8 10. ' To divide a straight... | |
| Sir John Leslie - Geometry - 1817 - 456 pages
...whence the triangles AGC and BGH are equal (I. 20.), and therefore AG is equal to BG. PROP. III. PRQB. Through a given point, to draw a line parallel to a given straight line. Let it be required, by a rectilineal construction, to draw through C a straight line... | |
| Peter Nicholson - Bricklaying - 1832 - 424 pages
...bisect a given straight line - - • ibid. Prob. 6. To bisect a given angle - - - ibid. PAGE Prob. 8. Through a given point to draw a line parallel to a given right line .... -20 Prob. 9. To draw a line parallel to another at a given distance . - . . . ft. Prob.... | |
| Massachusetts. Board of Education - Education - 1893 - 504 pages
...supplements. 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... | |
| Robert Griffith Hatfield - Architecture - 1845 - 326 pages
...radius, 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,... | |
| Peter Nicholson - Geometry - 1845 - 430 pages
...at c. Make cd equal to a b. Draw H d G and the angle IHG is equal to EF G. as required. PROB. vni. Through a given point to draw a line parallel to a given rigid line. PL. 3. FIG. 9. Le{ AB be the given right line, and D the given point. Draw any right line... | |
| Almon Ticknor - Measurement - 1849 - 156 pages
...other in s ; through the point C s, draw the line CG s, and C Gr will be the perpendicular required. 6. To draw a line parallel to a given line. Set one foot of the Fie-6dividers in any part of E^ the line, as at c, extend /-"" 6 -~\ s' a them at pleasure, unless... | |
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