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 6 - 10 od 80.
Stranica 32
... written in either of the forms - A ( B'C " -B " C ' ) + B ( C'A " - C'A ' ) + C ( A'B " — A ′′ B ′ ) = 0 , A ( B′C " – B'C ' ) + A ′ ( B ′′ C – BC " ) + A " ( BC ' ′ – B'C ' ) = 0 . * 39 . To find the area of the triangle formed ...
... written in either of the forms - A ( B'C " -B " C ' ) + B ( C'A " - C'A ' ) + C ( A'B " — A ′′ B ′ ) = 0 , A ( B′C " – B'C ' ) + A ′ ( B ′′ C – BC " ) + A " ( BC ' ′ – B'C ' ) = 0 . * 39 . To find the area of the triangle formed ...
Stranica 35
... written shall satisfy the equation of the locus . Thus , in the present example , we have Α mx " + nx ' m + n + Bmy " + ny ' + C = 0 ; m + n m hence Ax ' + By + C n Ax " + By " + C and consequently the coordinates of the required point ...
... written shall satisfy the equation of the locus . Thus , in the present example , we have Α mx " + nx ' m + n + Bmy " + ny ' + C = 0 ; m + n m hence Ax ' + By + C n Ax " + By " + C and consequently the coordinates of the required point ...
Stranica 37
... writing for x , p cos 0 , and for y , p sin ( see Art . 12 ) ; hence the equation becomes p ( cose cosa + sin @ sina ) = p ; or , as we got before , An equation of the form p cos ( 0 - a ) = p . p ( A cose + B sin 0 ) = C · can be ( as ...
... writing for x , p cos 0 , and for y , p sin ( see Art . 12 ) ; hence the equation becomes p ( cose cosa + sin @ sina ) = p ; or , as we got before , An equation of the form p cos ( 0 - a ) = p . p ( A cose + B sin 0 ) = C · can be ( as ...
Stranica 38
... written down without further calculation . Since expressions containing angles become more complicated by the use of oblique coordinates , it will be generally advisable to use rectangular axes in any question in which the considera ...
... written down without further calculation . Since expressions containing angles become more complicated by the use of oblique coordinates , it will be generally advisable to use rectangular axes in any question in which the considera ...
Stranica 42
... written in its ordinary form . Clearing of fractions , we have ( a — c ) [ a'b ( x — c ' ) + a'c'y ] = ( a ′ — c ′ ) [ ab ( x − c ) + acy ] , - or ( ac ' a'c ) x cc ' ( a - a ' ) - aa ' ( c- c ' ) + = 1 , the equation of a right line ...
... written in its ordinary form . Clearing of fractions , we have ( a — c ) [ a'b ( x — c ' ) + a'c'y ] = ( a ′ — c ′ ) [ ab ( x − c ) + acy ] , - or ( ac ' a'c ) x cc ' ( a - a ' ) - aa ' ( c- c ' ) + = 1 , the equation of a right line ...
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.