A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
No interior do livro
Resultados 1-5 de 67
Página 6
... evidently , equally true , whether the axes be oblique or rectangular . 9. Secondly , let the directions of the axes be changed , while the origin is unaltered . * The beginner may postpone the rest of this chapter till he has read to ...
... evidently , equally true , whether the axes be oblique or rectangular . 9. Secondly , let the directions of the axes be changed , while the origin is unaltered . * The beginner may postpone the rest of this chapter till he has read to ...
Página 9
... evidently cannot contain powers of x or y above the mth degree . Neither can transformation diminish the degree of an equation , since by transforming the transformed equation back again to the old axes , we must fall back on the ...
... evidently cannot contain powers of x or y above the mth degree . Neither can transformation diminish the degree of an equation , since by transforming the transformed equation back again to the old axes , we must fall back on the ...
Página 12
... evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the given equation . And yet the coordinates of ...
... evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the given equation . And yet the coordinates of ...
Página 15
... evidently is a right line OP , passing through O , the point of intersection of the two fixed lincs , and dividing the angle between them in such a manner that sin POM = m sin PON . If the axes be rectangular , sin PON = cos POM ...
... evidently is a right line OP , passing through O , the point of intersection of the two fixed lincs , and dividing the angle between them in such a manner that sin POM = m sin PON . If the axes be rectangular , sin PON = cos POM ...
Página 16
... and PT therefore yb , the question becomes : " To find the locus of a point , such that , if we draw PT parallel to OY to meet the fixed line QT , PT may be to QT in a constant ratio ; " and this locus evidently is the 16 THE RIGHT LINE .
... and PT therefore yb , the question becomes : " To find the locus of a point , such that , if we draw PT parallel to OY to meet the fixed line QT , PT may be to QT in a constant ratio ; " and this locus evidently is the 16 THE RIGHT LINE .
Índice
81 | |
88 | |
99 | |
103 | |
116 | |
129 | |
136 | |
146 | |
153 | |
159 | |
165 | |
166 | |
169 | |
171 | |
181 | |
190 | |
201 | |
206 | |
208 | |
214 | |
222 | |
225 | |
231 | |
232 | |
289 | |
295 | |
301 | |
314 | |
327 | |
333 | |
335 | |
337 | |
343 | |
347 | |
348 | |
353 | |
359 | |
377 | |
379 | |
383 | |
389 | |
393 | |
394 | |
395 | |
396 | |
398 | |
399 | |
Outras edições - Ver tudo
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Visualização integral - 1879 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pré-visualização indisponível - 2016 |
Palavras e frases frequentes
anharmonic ratio asymptotes ax² axes bisected bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
Passagens conhecidas
Página 20 - DISEASES OF THE SHEEP: being a Manual of Ovine Pathology for the use of Veterinary Practitioners and Students.
Página 15 - Mill. — ANALYSIS OF THE PHENOMENA OF THE HUMAN MIND. By JAMES MILL. With Notes, Illustrative and Critical.
Página 11 - CRITIQUE OF PRACTICAL REASON, AND OTHER WORKS ON THE THEORY OF ETHICS.
Página 5 - A General History of Greece from the Earliest Period to the Death of Alexander the Great, with a sketch of the subsequent History to the present time. New Edition. Crown 8vo. Cloth, price 7$. 6d, Tales of Ancient Greece.
Página 13 - HISTORY OF ENGLAND FROM THE ACCESSION OF JAMES THE SECOND. Popular Edition. 2 vols. Cr. 8vo., 55.
Página 23 - STRANGE DWELLINGS ; a Description of the Habitations of Animals, abridged from
Página 24 - ALFRED PLUMMER, DD THE EVANGELICAL REVIVAL IN THE EIGHTEENTH CENTURY. By the Rev. JH OVERTON, DD THE UNIVERSITY OF OXFORD.
Página 13 - Hastings. (3</. sewed, 6d. cloth.) The Earl of Chatham (Two Essays). Ranke and Gladstone. Milton and Machiavelli. Lord Bacon. Lord Clive. Lord Byron, and The Comic Dramatists of the Restoration. The Essay on Warren Hastings annotated by S. HALES, is.
Página 18 - THE STARS IN THEIR SEASONS An Easy Guide to a Knowledge of the Star Groups, in 12 Large Maps. Imperial 8vo. 5*.
Página 22 - Sea- Fisherman: comprising the Chief Methods of Hook and Line Fishing in the British and other Seas, a glance at Nets, and remarks on Boats and Boating. Second Edition, enlarged, with 80 Woodcuts. Post 8vo. 12s. Gd. The Fly- Fisher's Entomology. By ALFRED RONALDS. With coloured Representations of the Natural and Artificial Insect.