 | Thomas Grainger Hall - 1834 - 394 pages
...aß-ab-a2a a ß-b-aa /3-/3, .•. o = — ' V + l \/a- + l where ßt is the value of у when x = a. 94. Find the equation to a straight line which passes through a given point, and makes with a given line a given angle. Let у = ax + b be the equation to the given line, y = a,¿»... | |
 | Henry Parr Hamilton - Conic sections - 1834 - 240 pages
...the axes to be rectangular, but the same method is applicable whatever be their inclination. 11. To find the equation to a straight line which passes through a given point. Let the co-ordinates of the given point be a?', y, and those of any other point whatever, in the same... | |
 | Mathematics - 1836 - 366 pages
...and the equation to a straight line, find the distance of a point from the straight line. 1833 39. Find the equation to a straight line which passes through a given point and cuts the axis of x at an angle of 135°. 40. Every curve of an odd degree either in x or y has at least... | |
 | Michel Chasles - Cone - 1837 - 564 pages
...that they may be at right angles to one another, we must have tan ф = со , or 1 + mm' = 0. 25. To find the equation to a straight line which passes through a given point, and makes a given angle with a given straight line. B' T' the required line whose equation may be assumed... | |
 | John Hymers - Conic sections - 1837 - 486 pages
...that they may be at right angles to one another, we must have tan<jb= оэ , or 1 + mm' ^ 0. 25. To find the equation to a straight line which passes through a given point, and makes a given angle with a given straight line. Let ВТ (fig. 8) be the given line, and у = mx +... | |
 | Henry Parr Hamilton - Conic sections - 1843 - 314 pages
...... m'y+nx = SECTION II. ON THE EQUATION TO THE STRAIGHT LINE SUBJECT TO CERTAIN CONDITIONS. 17- To find the equation to a straight line which passes through a given point. Let the co-ordinates of the given point be x', y\ and those of any other point whatever in the same... | |
 | Henry Parr Hamilton - Conic sections - 1843 - 318 pages
...nx=m'n. SECTION II. ON THE EQUATION TO THE STRAIGHT LINE SUBJECT TO CERTAIN CONDITIONS. 17. To ßnd the equation to a straight line which passes through a given point. Let the co-ordinates of the given point be л?', у', and those of any other point whatever in the... | |
 | Alfred Wrigley - 1852 - 344 pages
...x= l, y= 3 ; and makes an angle of 30° with the straight line whose equation is 2y— x+ I =0. 11. Find the equation to a straight line which passes through a given point in the axis of x at a distance с from the origin and makes X t/ an angle of 45° with the straight... | |
 | Isaac Todhunter - Geometry - 1855 - 332 pages
...to apply the results of the preceding articles to the solution of some problems. To find the form of the equation to a straight line which passes through a given point. Let a;,, yl, be the co-ordinates of the given point, and suppose y = mx + c (1) to represent the straight... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...to apply the results of the precedingarticles to the solution of some problems. To find the form of the equation to a straight line which passes through a given point. Let xi, y,, be the co-ordinates of the given point, and suppose (1) to represent the straight line.... | |
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Find the equation to a straight line which passes through a given point, and cuts off a given area from the co-ordinate axes, determining the condition that this may be possible. HH 14. Interpret the equations (1) ¡r^+T (2) я? + y' + a 
