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Libros Libros 1 a 10 de 17 sobre To find the equations to the straight lines which pass through a given point and...
" To find the equations to the straight lines which pass through a given point and make a given angle with a given straight line. "
A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 32
de Isaac Todhunter - 1858 - 316 páginas
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A syllabus of a course of lectures upon trigonometry, and the application of ...

Henry Pearson - 1833
...it be required to determine its equation. A straight line is determined geometrically ; first, if it pass through a given point and make a given angle with a given straight line or axis : secondly, if it pass through two given points. 19. For the first case. Let a and 3 be the...
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A Treatise on Conic Sections: And the Application of Algebra to Geometry

John Hymers - 1845 - 228 páginas
...order that they may be at right angles to one another, we must have tan <p = co , or 1 + mm' = 0. 26. To find the equations to the straight lines which...and make a given angle with a given straight line. Let BT (fig. 8) be the given line, and y = mx + c its equation, therefore tan PTA =m; B"!* one of the...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852
...axes and explain the meaning of the constants. 2. Find the equation to a straight line which shall pass through a given point and make a given angle with a given line. Ex. Through the point (0, 0) making an angle of 90° with the line x + y = a. 4. Find the equation...
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A treatise on plane co-ordinate geometry

1855 - 299 páginas
...(xl, yj, is (2). If (2) is perpendicular to (1), we have m'm +1=0. Hence the required equation is 1 , 45. To find the equations to the straight lines which...+ c. Suppose CD and CE the two lines which can be diawn through C, each making an angle /3 with AB. Then tan CDX = tan (BAX + /3) _ m + tan/3 1 — m...
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A treatise on plane co-ordinate geometry

Isaac Todhunter - 1855 - 299 páginas
...t•• \ /• If (2) is perpendicular to (1), we have mm +1=0. Hence the required equation is 1 ' ' m ' 45. To find the equations to the straight lines which...and make a given angle with a given straight line. Let AB be the given straight line ; C the given point ; h, k, its co-ordinates ; /3 the given angle....
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A mathematical course for the University of London. (2nd)

Thomas Kimber - 1865 - 192 páginas
...angles. Hence, deduce the expression for the cosine of an angle of a triangle in terms of the sides. 13. Find the equations to the straight lines which pass...and make a given angle with a given straight line. Example. Find the equations to the lines which pass through the origin, and are inclined at an angle...
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Elementary analytical geometry

Thomas Grenfell Vyvyan - 1867 - 210 páginas
...16. в = а. 17. rcos(0-a)=^). 18. rcos0 + 5rsin0 = 6ti. 19. If the axes be inclined at an angle <a, find the equations to the straight lines which pass through a given point on the axis of x, and are perpendicular to the axes. 20. Find the equation to the straight line which...
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Mathematical exercises

Samuel H. Winter - 1877
...the several cases in which 62 is greater than, equal to, or less than ac ? 12. Find the equations of the straight lines which pass through a given point...and make a given angle with a given straight line. What are the equations of the straight lines which pass through the centre of the circle — and are...
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First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 372 páginas
...the condition of the next article, only one line is possible. 26. To find the equations to the two straight lines which pass through a given point and make a given angle (/3} with a given straight line (y=mx + b), the axes being rectangular. m± tan/3 . The equations are...
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London graduation mathematics, questions in arithmetic and algebra set from ...

Thomas Kimber - 1880
...angles. Hence, deduce the expression for the cosine of an angle of a triangle in terms of the. sides. 13. Find the equations to the straight lines which pass...and make a given angle with a given straight line. Example. Find the equations to the lines which pass through the origin, and are inclined at an angle...
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