A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic Andgeometric MethodsLongmans, Green and Company, 1879 - Broj stranica: 399 |
Iz unutrašnjosti knjige
Rezultati 1 - 5 od 38.
Stranica 31
... vanish , as they evidently ought to dɔ , since the value of the total area must be independent of the manner in which we divide it into triangles ; and we have for double the area 2 X 3 ( x1Y1⁄2− x ̧ÿ1 ) + ( x2у ̧ − x ̧ ¥ 2 ) + ( x ̧Y ...
... vanish , as they evidently ought to dɔ , since the value of the total area must be independent of the manner in which we divide it into triangles ; and we have for double the area 2 X 3 ( x1Y1⁄2− x ̧ÿ1 ) + ( x2у ̧ − x ̧ ¥ 2 ) + ( x ̧Y ...
Stranica 34
... vanish identically , the lines represented by them meet in a point . Its coordinates are found , by solving between any two , to be § ( x ' + x " + x ' ' ' ) , } ( y ' + y ′′ + y ' " ) . Ex . 2. Prove the same thing , taking for axes ...
... vanish identically , the lines represented by them meet in a point . Its coordinates are found , by solving between any two , to be § ( x ' + x " + x ' ' ' ) , } ( y ' + y ′′ + y ' " ) . Ex . 2. Prove the same thing , taking for axes ...
Stranica 45
... vanish together , and we get for our locus bx - ay = 0 , the equation of the diagonal of the parallelogram . Ex . 7. Given a point and two fixed lines ; draw any two lines through the fixed point , and join transversely the points where ...
... vanish together , and we get for our locus bx - ay = 0 , the equation of the diagonal of the parallelogram . Ex . 7. Given a point and two fixed lines ; draw any two lines through the fixed point , and join transversely the points where ...
Stranica 54
... vanish identically . Ex . 2. Any two of the external bisectors of the angles of a triangle meet on the third internal bisector . Attending to the convention about signs , it is easy to see that the equations of two external bisectors ...
... vanish identically . Ex . 2. Any two of the external bisectors of the angles of a triangle meet on the third internal bisector . Attending to the convention about signs , it is easy to see that the equations of two external bisectors ...
Stranica 60
... vanish when multiplied by sin2C , sin2A , sin2B , and added together . Ex . 4. Find , by Art . 25 , expressions for the sine , cosine , and tangent of the angle between la + mß + ny , l'a + m'ß + n'y . Ex . 5. Prove that a cos A + ẞ cos ...
... vanish when multiplied by sin2C , sin2A , sin2B , and added together . Ex . 4. Find , by Art . 25 , expressions for the sine , cosine , and tangent of the angle between la + mß + ny , l'a + m'ß + n'y . Ex . 5. Prove that a cos A + ẞ cos ...
Sadržaj
1 | |
10 | |
17 | |
23 | |
38 | |
45 | |
53 | |
57 | |
212 | |
222 | |
232 | |
233 | |
239 | |
246 | |
256 | |
262 | |
59 | |
67 | |
74 | |
80 | |
86 | |
92 | |
99 | |
116 | |
119 | |
122 | |
129 | |
136 | |
139 | |
145 | |
151 | |
157 | |
163 | |
166 | |
169 | |
174 | |
180 | |
186 | |
192 | |
200 | |
207 | |
269 | |
273 | |
276 | |
277 | |
282 | |
288 | |
295 | |
300 | |
301 | |
305 | |
311 | |
317 | |
323 | |
329 | |
335 | |
337 | |
343 | |
349 | |
356 | |
362 | |
368 | |
374 | |
383 | |
389 | |
394 | |
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 bisector by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conic touching 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 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 represents right angles right line second degree sides sin² square substituting tangential equation theorem transform values vanish vertex vertices µß
Popularni odlomci
Stranica 16 - The WIFE'S MANUAL: or. Prayers, Thoughts, and Songs on Several Occasions of a Matron's Life.
Stranica 14 - SKETCH of the HISTORY of the CHURCH of ENGLAND to the Revolution of 1688. By the Right Rev. TV SHORT, DD Lord Bishop of St. Asaph.
Stranica 21 - Hints to Mothers on the Management of their Health during the Period of Pregnancy and in the Lying-in Room. By T.
Stranica 17 - The Alpine Club Map of Switzerland, with parts of the Neighbouring Countries, on the scale of Four Miles to an Inch. Edited by RC NICHOLS, FRGS In Four Sheets in Portfolio, price ifls.
Stranica 19 - Th.e Dead Shot, or Sportsman's Complete Guide ; a Treatise on the Use of the Gun, Dog-breaking, Pigeon-shooting, &c. By MARKSMAN.
Stranica 15 - Historical and Critical Commentary on the Old Testament; with a New Translation.
Stranica 15 - Ewald's History of Israel. Translated from the German by JE CARPENTER, MA with Preface by R. MARTINEAU, MA 5 vols.
Stranica 14 - A Treatise on the Steam Engine, in its various applications to Mines, Mills, Steam Navigation, Railways and Agriculture. By J. Bourne, CE With Portrait, 37 Plates, and 546 Woodcuts. 4/0. 42s. Catechism of the Steam Engine, in its various Applications.
Stranica 19 - A Book on Angling ; or, Treatise on the Art of Fishing in every branch ; including full Illustrated Lists of Salmon Flies. By FRANCIS FRANCIS. Post 8vo.
Stranica 2 - History of the Rise and Influence of the Spirit of Rationalism in Europe. By WEH LECKY, MA 2 vols.