 | John Narrien - Conic sections - 1846 - 252 pages
...and (z—z)=y — y. cos. yv cos. y^ ' ' '' 149. COR. If it were required to find the equations for a straight line passing through a given point and parallel to a given line : Through the origin of the co-ordinates a line may be imagined to pass parallel to the given... | |
 | Percival Frost - 1863 - 526 pages
...g'-a PLMN and the equations of the line become a' -a. /3'-/3 7-7' _ ^_ 55. To find the equations of a straight line passing through a given point, and parallel to a given straight line. The equations of a straight line passing through a point (a, ft, 7) are x — a. y — ft _s — L... | |
 | Percival Frost - Geometry, Analytic - 1875 - 462 pages
...through that point. The unsymmetrical form is xa=p(zc~), yb = q(zc). 52. To find the equations of a straight line passing through a given point and parallel to a given straight line. The equations of a straight line passing through a given point (a, 5, c) are x — a _y — b _z —... | |
 | Williams James Wright - Coordinates, Trilinear - 1877 - 88 pages
...BiCi), (OA, CiAi), (AB, AiBi') respectively meet ia points which are collinear. 15. A straight line through a given point and parallel to a given straight line. Let (I, m, n) be the given straight line, (/, g, h") the given point, (l1, TOI, n^) the required straight... | |
 | 1878 - 500 pages
...twelfth axiom, and which they have stated in the following terms : — " There cannot be more than one straight line passing through a given point, and parallel to a given straight line. " Now, we dislike implication of this kind ; and prefer not only an explicit definition of the term... | |
 | John Daintith - Science - 1994 - 530 pages
...unsatisfactory. The most celebrated case is that of the parallel axiom, which states that there is only one straight line passing through a given point and parallel to a given straight line. The status of this axiom was long recognized as problematic, and many unsuccessful attempts were made... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1876 - 570 pages
...are the other values 1 Sum the series cosa+J cos2a+J cos3a-f-... to oo . 5. Find the equation of a straight line passing through a given point and parallel to a given straight line. Find the locus of each of the following equations — (1) 2^-3y=l, (2) ^=cos(fl+135°), and find the... | |
 | G. S. Pandey - 2002 - 178 pages
...(v)a STRAIGHT LINES AND PLANES 2.1 VECTOR EQUATION OF A STRAIGHT LINE (a) To find vector equation of a straight line passing through a given point and parallel to a given vectorLet the position vector of the given point A be a with respect to the origin O. We suppose that... | |
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О and ß be the given vector. Solution. Let P be any point on the line AP, which is parallel to the vector ß. 