| Pierce Morton - Geometry - 1830 - 584 pages
...= x - -— = x tan. ( 45° + - — ) and cos. a \ 2 / therefore the lines pass through the origin, and are inclined to the axis of x at angles of 45° ± — . 327. Since the general equation includes all equations below it, the properties of the curve... | |
| Mathematics - 1835 - 684 pages
...= x - = x tan. I 45° + • — I and cos. a \ — 2 / therefore the lines pass through the origin, and are inclined to the axis of x at angles of 45° ± -^-. 327. Since the general equation includes all equations below it, the properties of the curve... | |
| Edward Henry Courtenay - Mathematics - 1856 - 524 pages
...involving powers of x). Hence y — ±(x — - 6) is the equation of two straight lines, which are asymptotes to the curve, and are inclined to the axis...on the right of the axis of y. Forming the value of -j- from the equation of the curve, we have dy — 2x dX 2(*2- a2)* (* + *)* which, placed equal to... | |
| Edward Henry Courtenay - Calculus - 1857 - 522 pages
...terms involving powers of x). Hence y = ±(x — -6) is the equation of two straight lines, which are asymptotes to the curve, and are inclined to the axis...the right of the axis of y. .Forming the value of -2- from the equation of the curve, we have dy 2J2 + 3fo2 + a2 ' 2(x2 - a (x + b)« which, placed equal... | |
| Edward Henry Courtenay - Calculus - 1860 - 516 pages
...4PowersofⅠ じ Ⅰ 面 C ・二) Hence y @ (#b) is the equation of two straight lines, which & are asymptotes to the curve, and are inclined to the axis of x at angles of 45 and 135 respectively. Jf we combine this equation of these asymptotes with that of the curve, we shall find that each of... | |
| Thomas Kimber - 1880 - 176 pages
...instructions given in Art. 290. In 2nd equation, x = + y, giving two lines intersecting in the origin, and inclined to the axis of x at angles of 45° and 135° respectively. 14. (1) Art. 314. (2) From the question, i/2 = 4ae; с •=• у — bx, we have by multiplying the... | |
| Edward Albert Bowser - Calculus - 1880 - 424 pages
...(1 — ж8) =0 for multiple points. Ans. There is a double point at the origin, the branches being inclined to the axis of x at angles of 45° and 135° respectively. 4. Show that ауя—з^у—ах3 = 0 has no multiple points. 111. Cusps. — A cusp is a point of... | |
| |