 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...line intersect one of two parallel right lines it must also intersect the other.' ' Only one right line can be drawn through a given point parallel to a given right line.' The axiom expressed by the first of these ways appears to me to be as unobjectionable,... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...the line. 7. An angle can always be constructed equal to a given angle. 8. A straight line may always be drawn through a given point parallel to a given straight line. 9. A circle can always be described, having its centre at a given point, and with any given radius.... | |
 | Euclides - 1863 - 74 pages
...rt. line intersect one of two parallel rt. lines, it must also intersect the other : or, Only one rt. line can be drawn through a given point parallel to a given rt. linc." — LARDNER, p. 316. APP. — ERATOSTFIEKES, who died uc 196, at the age of 80, applied... | |
 | Euclides - 1870 - 270 pages
...rt. line intersect one of two parallel rt. lines, it must also intersect the other : or, Only one rt. line can be drawn through a given point parallel to a given rt. line." — LARDXER, p. 316. 4. The least objectionable definition of parallel st. lines is —... | |
 | Gerardus Beekman Docharty - Calculus - 1865 - 328 pages
...parallel to a given line, then the angle which the line makes with the axis is known, and only one line can be drawn through a given point parallel to a given line. Illustration. If we were required to draw a line through the point P, whose abscissa AB is 8,... | |
 | Thomas Davidson - 1889 - 200 pages
...example, the proposition, "The human will is free," should command it as certainly as, " Not more than one straight line can be drawn through a given point parallel to another straight line," or, " Nothing can act before it is." But it will be said, We cannot help assenting... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...EXERCISES. 1. Two intersecting straight lines cannot both be parallel to the same straight line. 2. Only one straight line can be drawn through a given point parallel to a given straight line. 3. If two straight lines, each of which is parallel to a third straight line, meet, the two lines are... | |
 | Webster Wells - Geometry - 1894 - 398 pages
...perpendiculars to the same plane are parallel.] (§ 411.) But through C, only one parallel can be drawn to AB. [But one straight line can be drawn through a given point parallel to a given straight line.] (§53.) Whence, CD is perpendicular to MN. 413. COR. II. If each of two strait/Jit lines is parallel... | |
 | Webster Wells - 1894 - 172 pages
...line is parallel to the line.] (§415.) lint through C, only one parallel can be drawn to AB. [Hut one straight line can be drawn through a given point parallel to a given straight line.] (§ 53.) Whence, CD lies iu MN. PROPOSITION XI. THEOREM. 417. If two parallel planes are cut by a third... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...cannot meet however far they may - - - 1t be produced ; as AB and CD. CD 53. AXIOM. But one straigJit line can be drawn through a given point parallel to a given straight line. PROPOSITION XI. THEOREM. 54. Two perpendiculars to the same straight line are parallel. •B -D Let... | |
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We assume that but one straight line can be drawn through a given point parallel to a given straight line. 
