A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
Iz unutrašnjosti knjige
Rezultati 1 - 5 od 61.
Stranica x
... substituting the Coordinates of any Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having double contact ...
... substituting the Coordinates of any Point in the Equation of a Conic Diameter of Circle circumscribing Triangle formed by two Tangents and their Chord 241 241 Property of Chords of Intersection of two Conics , each having double contact ...
Stranica 11
... Substituting these successively in the second equation , we obtain the corresponding values of y , y = + 2 , y = - 2 , y = + 1 , y = - −1 . The two given equations , therefore , represent the four points - ( + 1 , + 2 ) , ( − 1 , − 2 ) ...
... Substituting these successively in the second equation , we obtain the corresponding values of y , y = + 2 , y = - 2 , y = + 1 , y = - −1 . The two given equations , therefore , represent the four points - ( + 1 , + 2 ) , ( − 1 , − 2 ) ...
Stranica 18
... Substituting which values in the general form , it becomes 922 y = 1 . + a b This equation holds whether the axes be oblique or rect- angular . It is plain that the position of the line will vary with the signs of the quantities a and b ...
... Substituting which values in the general form , it becomes 922 y = 1 . + a b This equation holds whether the axes be oblique or rect- angular . It is plain that the position of the line will vary with the signs of the quantities a and b ...
Stranica 23
... also pass through the point x " y " , this equation must be satisfied when the coordinates x " , y " , are substituted for x and y ; hence y " -y ' x - " = m . x Substituting this value of m , the equation of the THE RIGHT LINE . 23.
... also pass through the point x " y " , this equation must be satisfied when the coordinates x " , y " , are substituted for x and y ; hence y " -y ' x - " = m . x Substituting this value of m , the equation of the THE RIGHT LINE . 23.
Stranica 24
... Substituting this value of m , the equation of the line becomes y - y ' _ y " — y ' -X = X " - X In this form the equation can be easily remembered , but , clearing it of fractions , we obtain it in a form which is some- times more ...
... Substituting this value of m , the equation of the line becomes y - y ' _ y " — y ' -X = X " - X In this form the equation can be easily remembered , but , clearing it of fractions , we obtain it in a form which is some- times more ...
Sadržaj
96 | |
99 | |
103 | |
105 | |
116 | |
121 | |
129 | |
136 | |
146 | |
153 | |
159 | |
166 | |
168 | |
173 | |
181 | |
192 | |
199 | |
201 | |
206 | |
208 | |
214 | |
217 | |
220 | |
222 | |
225 | |
231 | |
295 | |
301 | |
314 | |
320 | |
326 | |
332 | |
337 | |
343 | |
347 | |
353 | |
359 | |
362 | |
369 | |
377 | |
379 | |
383 | |
389 | |
391 | |
393 | |
394 | |
395 | |
396 | |
399 | |
4 | |
Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
Popularni odlomci
Stranica 15 - Other Worlds than Ours ; The Plurality of Worlds Studied under the Light of Recent Scientific Researches.
Stranica 12 - TREASURY OF KNOWLEDGE AND LIBRARY OF REFERENCE. Comprising an English Dictionary and Grammar, Universal Gazetteer, Classical Dictionary, Chronology, Law Dictionary, &c.
Stranica 20 - INSECTS AT HOME : A Popular Account of British Insects, their Structure, Habits and Transformations.
Stranica 8 - Huth. — THE MARRIAGE OF NEAR KIN, considered with Respect to the Law of Nations, the Result of Experience, and the Teachings of Biology. By ALFRED HENRY HUTH. Royal 8vo.
Stranica 2 - THE HOUSE OF WALDERNE. A Tale of the Cloister and the Forest in the Days of the Barons
Stranica 7 - GEORGE). THE SEA AND ITS LIVING WONDERS. With 12 Plates and 303 Woodcuts. 8vo., 71.
Stranica 2 - 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 js. 6d. Tales of Ancient Greece.
Stranica 1 - History of Civilisation in England and France, Spain and Scotland. By HENRY THOMAS BUCKLE. 3 vols. crown 8vo. 24*.
Stranica 9 - CRITIQUE OF PRACTICAL REASON, AND OTHER WORKS ON THE THEORY OF ETHICS.
Stranica 15 - New Star Atlas for the Library, the School, and the Observatory, in 12 Circular Maps.