 | Dionysius Lardner - Geometry, Algebraic - 1823 - 658 pages
...squares of the sides be s*. BC* = y* + (x — by, •.' y* + x2 =is2- b2, which is the equation of a circle, whose centre is at the origin, and whose radius is A/-i** — b*. PROP. cxv. (263.) Given the base and vertical angle of a triangle, to find the locus... | |
 | Dionysius Lardner - Geometry, Algebraic - 1831 - 582 pages
...of the squares of the sides be s*. ACl=y + (* + 6)% BC* = y* + (x — ft)a, which is the equation of a circle, whose centre is at the origin, and whose radius is A/js1 — 61. PROP. cxv. (263.) Given the base and vertical angle of a triangle, to find the locus... | |
 | George Boole - Differential equations - 1859 - 514 pages
...former denotes a family of straight lines whose distance from the origin is equal to a, the latter a circle whose centre is at the origin, and whose radius is equal to a. And here, as was noted generally by Lagrange, the singular solution seems to be, in relation... | |
 | George Boole - Differential equations - 1865 - 534 pages
...former denotes a family of straight lines whose distance from the origin is equal to a, the latter a circle whose centre is at the origin, and whose radius is equal to a. And here, as was noted generally by Lagrange, the singular solution seems to be, in relation... | |
 | George Boole - Differential equations - 1865 - 522 pages
...former denotes a family of straight lines whose distance from the origin is equal to a, the latter a circle whose centre is at the origin, and whose radius is equal to a. And here, as was noted generally by Lagrange, the singular solution seems to be, in relation... | |
 | Mathematics - 1888 - 262 pages
...FUNCTIONS. 33. When n = e*, then X=e"cosУ, Y = er sin y. If x = ч, we have X* + Y2 = < *" ; ie u describes a circle whose centre is at the origin and whose radius is equal to <•". If y = ß, then Y = Xtan ß; ie « describes a straight line through the origin making... | |
 | Simon Newcomb - Geometry, Analytic - 1884 - 462 pages
...equations, which we do thus: Squaring and adding, we have or a;' + y' = a' + 5*, which is the equation of a circle whose centre is at the origin and whose radius is Va? + b'. We thus have the result: If we slide a right angle around an ellipse so that its sides shall... | |
 | James Morford Taylor - Algebra - 1889 - 400 pages
...the origin, and whose radius is 5. Evidently the graph of any equation of the form .r2 +.y2 = rz is a circle whose centre is at the origin and whose radius is r. 8. Construct the graph of x* + y2 = 9 ; of *2 + у2 = i6 ; Of 2Л2+ 2У = 8. с. Construct the graph... | |
 | James Morford Taylor - Algebra - 1900 - 504 pages
...illustrate the truth that the locus of any equation of the forin x3 + у1 = гг is the circumference of a circle whose centre is at the origin and whose radius is r. 13. Draw the locus of 4 a? + 9 f = 36. (1) Here « = Evidently — 3 is the least value of x which... | |
 | Edmund Taylor Whittaker - Calculus - 1902 - 410 pages
...Let C be a contour formed by the real axis together with a semicircle y, consisting of that half of a circle, whose centre is at the origin and whose radius is very large, which lies above the real axis. Then „ is a function of z which has only one pole in... | |
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The former denotes a family of straight lines whose distance from the origin is equal to a, the latter a circle whose centre is at the origin, and whose radius is equal to a. And here, as was noted generally by Lagrange, the singular solution seems to... 
