| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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