A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
Inni boken
Resultat 1-5 av 53
Side v
... called for , I have endeavoured to make this Treatise more de- serving of the favourable reception it has met with . Having myself used it for the last five years in teaching Analytic Geometry to beginners , I have gained some ex ...
... called for , I have endeavoured to make this Treatise more de- serving of the favourable reception it has met with . Having myself used it for the last five years in teaching Analytic Geometry to beginners , I have gained some ex ...
Side 2
... called the co - ordinates of the point P ; that parallel to YY ' is often called the ordinate of the point P ; and that parallel to XX ' the abscissa . The fixed lines XX ' and YY ' are termed the axes of co - ordi- nates , and the ...
... called the co - ordinates of the point P ; that parallel to YY ' is often called the ordinate of the point P ; and that parallel to XX ' the abscissa . The fixed lines XX ' and YY ' are termed the axes of co - ordi- nates , and the ...
Side 6
... called the transformation of co - ordinates . У P We shall consider three cases separately : first , we shall sup- pose the origin changed , but the new axes parallel to the old ; secondly , we shall sup- pose the direction of the axes ...
... called the transformation of co - ordinates . У P We shall consider three cases separately : first , we shall sup- pose the origin changed , but the new axes parallel to the old ; secondly , we shall sup- pose the direction of the axes ...
Side 9
... called the pole ; and this method is called the method of polar co - ordinates . It is very easy , being given the x and y co - ordinates of a point , to find its polar ones , or Y vice versa .. First , let the fixed line coin- cide ...
... called the pole ; and this method is called the method of polar co - ordinates . It is very easy , being given the x and y co - ordinates of a point , to find its polar ones , or Y vice versa .. First , let the fixed line coin- cide ...
Side 48
... called the centre of mean position of the given points . * By sum we mean the algebraic sum , for any of the quantities m ' , m " , & c . , may be negative . 50. If the equation of any line involve the co 48 EXAMPLES ON THE RIGHT LINE .
... called the centre of mean position of the given points . * By sum we mean the algebraic sum , for any of the quantities m ' , m " , & c . , may be negative . 50. If the equation of any line involve the co 48 EXAMPLES ON THE RIGHT LINE .
Innhold
172 | |
178 | |
185 | |
202 | |
203 | |
206 | |
210 | |
211 | |
78 | |
84 | |
90 | |
97 | |
104 | |
110 | |
118 | |
119 | |
124 | |
131 | |
132 | |
137 | |
138 | |
143 | |
146 | |
154 | |
160 | |
161 | |
166 | |
217 | |
218 | |
221 | |
226 | |
233 | |
244 | |
250 | |
251 | |
260 | |
264 | |
268 | |
280 | |
290 | |
298 | |
310 | |
317 | |
1 | |
12 | |
17 | |
Andre utgaver - Vis alle
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes bisected bisector chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve middle points origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
Populære avsnitt
Side 9 - Kirby and Spence's Introduction to Entomology ; or, Elements of the Natural History of Insects : Comprising an Account of Noxious and Useful Insects, of their Metamorphoses, Food, Stratagems, Habitations, Societies, Motions, Noises, Hybernation, Instinct, &c.
Side 22 - Willich's Popular Tables for Ascertaining the Value of Lifehold, Leasehold, and Church Property, Renewal Fines, &c. ; the Public Funds; Annual Average Price and Interest on Consols from 1731 to 1861 ; Chemical, Geographical, Astronomical, Trigonometrical Tables, &c.
Side 21 - Dr. Ure's Dictionary of Arts, Manufactures, and Mines : Containing a clear Exposition of their Principles and Practice.
Side 18 - The VOYAGE and SHIPWRECK of ST, PAUL; with Dissertations on the Life and Writings of St. Luke and the Ships and Navigation of the Ancients.
Side 8 - Visits to Remarkable Places : Old Halls, Battle-Fields, and Scenes illustrative of Striking Passages in English History and Poetry. By WILLIAM HOWITT. 2 vols. square crown 8vo. with Wood Engravings, 25s. The Rural Life of England.
Side 10 - London's Encyclopaedia of Agriculture: comprising the Laying-out, Improvement, and Management of Landed Property, and the Cultivation and Economy of the Productions of Agriculture. With 1,100 Woodcuts. 8vo. 31s. 6d. London's Encyclopaedia of Gardening : comprising the Theory and Practice of Horticulture, Floriculture, Arboriculture, and Landscape Gardening.
Side 7 - Col. Hawker's Instructions to Young Sportsmen in all that relates to Guns and Shooting.
Side 13 - Moore.— The Power of the Soul over the Body, considered in relation to Health and Morals. By GEORGE MOORE, MD, Member of the Royal College of Physicians.
Side 9 - Portrait engraved by Henry Robinson, and a Vignette. Square crown 8vo. 21s. cloth ; or 30s. calf. — Or in 3 vols. 8vo. price 42s. Bishop Jeremy Taylor's Entire Works : With Life by BISHOP HEBEB. Revised and corrected by the Rev.
Side 7 - Phsenogamous or Flowering Plants, and the Ferns. Seventh Edition, with Additions and Corrections ; and numerous Figures illustrative of the Umbelliferous Plants, the Composite Plants, the Grasses, and the Ferns.