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" ... in a few cases, to be hereafter pointed out, where oblique axes may be more advantageously employed. PROBLEM I. (8.) To find the equation of a straight line passing through a given point. Let us denote the coordinates of the given point by x... "
Practical Algebra (revised) Prepared for the Use of the Midshipmen at the ... - Page 110
by Stimson Joseph Brown, Paul Capron - 1910 - 191 pages
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Conic sections - 1830 - 390 pages
...to be hereafter pointed out, where oblique axes may be more advantageously employed. PROBLEM I. (8.) To find the equation of a straight line passing through a given point. Let us denote the coordinates of the given point by x' and y'; then, since the general equation for...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - Conic sections - 1830 - 360 pages
...to be hereafter pointed out, where oblique axes may be more advantageously employed. PROBLEM I. (8.) To find the equation of a straight line passing through a given point. Let us denote the coordinates of the given point by x' and y'; then, since the general equation for...
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The Elements of Analytical Geometry ...

John Radford Young - Geometry, Analytic - 1835 - 298 pages
...to be hereafter pointed out, where oblique axes may be more advantageously employed. PROBLEM I. (8.) To find the equation of a straight line passing through a given point. Let us denote the coordinates of the given point by x and y ; then, since the general equation for...
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An Elementary Treatise on Quaternions,

Peter Guthrie Tait - Quaternions - 1867 - 364 pages
...7. Find the equation of the plane which contains Fa(p-/3) = 0, and is perpendicular to Syp = 0. 8. Find the equation of a straight line passing through a given point, and making a given angle with a given plane. • 9. What conditions must be satisfied with regard to...
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An elementary treatise on quaternions

Peter Guthrie Tait - 1867 - 364 pages
...7. Find the equation of the plane which contains Fa(p-/3) = 0, and is perpendicular to Syp = 0. 8. Find the equation of a straight line passing through a given point, and making a given angle with a given plane. 9. What conditions must be satisfied with regard to a...
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A Treatise on Analytical Geometry: With Applications to Lines and Surfaces ...

William Guy Peck - Geometry, Analytic - 1876 - 248 pages
...constructions; they may also be used as a means of constructing lines by points. Proposition 5. — To find the equation of a, straight line passing through a given point. 15. Let (x', y') be the given point; assume the equation of'a straight line, y = az + b [3] If the...
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Elements of Analytic Geometry

George Albert Wentworth - 1886 - 322 pages
...9. Perpendicular to the line 5x — ly -\- 1 = 0, and erected at the point whose abscissa = 1. 47. To find the equation of a straight line passing through a given point (zi, 2/i), and making a given angle <£ with a given line y = mx-\-b. Let the required equation be...
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Elements of Analytic Geometry

George Albert Wentworth - Geometry, Analytic - 1887 - 264 pages
...Trigonometry, t =2n — m' This equation determines the valu»of <l,. Fig. 22. ~£\X [10] Fig. 23. 53^ 7b find the equation of a straight line passing through a given point (xl, y^), and making a given angle <ll with a given line y = mx-\-b. Let the required equation be Since...
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Analytic Geometry for Colleges, Universities, and Technical Schools

Edward West Nichols - Geometry, Analytic - 1892 - 300 pages
...to the Y-axis. ^ If C = 0, then у = -- x, B the equation of a line passing through the origin. 25. To find the equation of a straight line passing through a given point. Let (x', y') be the given point. Since the line is to be straight, its equation must be y = sx -f-...
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Analytic Geometry

Clyde Elton Love - Geometry, Analytic - 1927 - 288 pages
...x = 2, y = — 3. 25. Line through a given point in a given direction : pointslope form. Let us try to find the equation of a straight line passing through a given point PI : (xi, yi) in a given direction • — ie having a given slope m = tan a. Assuming a point P :...
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