| 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.... | |
| 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 In AB take any two... | |
| 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.... | |
| Peter Fleming - Surveying - 1815 - 242 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 line into any number... | |
| Sir John Leslie - Geometry - 1817 - 454 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 parallel to AB. In... | |
| Matthew Iley - 1820 - 512 pages
...SECTION 1. OF DRAWING AND DIVIDING LINES. PROBLEM I. To erect a perpendicular from a given point in **a given straight line. Let AB be the given line, and C the given point** ia it, from which a perpendicular is to be erected. F. TO From C as a centre, with any convenient opening... | |
| Timothy Walker - Geometry - 1829 - 129 pages
...37. We are now prepared to solve the following problem — throuyh a given point to draw a straight **line parallel to a given straight line — . Let AB be the given line and** F22 C the given point (fig. 22). With C as a ceatre and any convenient radius as CD, make an indefinite... | |
| 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... | |
| 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,... | |
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