A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 σελίδες |
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Σελίδα
... EDITION , REVISED . Cambridge : MACMILLAN AND CO . AND 23 , HENRIETTA STREET , COVENT GARDEN , London . 1862 . [ The Right of Translation is reserved . ] PREFACE . I HAVE endeavoured in the following Treatise to A TREATISE ON.
... EDITION , REVISED . Cambridge : MACMILLAN AND CO . AND 23 , HENRIETTA STREET , COVENT GARDEN , London . 1862 . [ The Right of Translation is reserved . ] PREFACE . I HAVE endeavoured in the following Treatise to A TREATISE ON.
Σελίδα
... the belief that the subject is thus presented in its most accessible form to students in the early stages of their progress . ST JOHN'S COLLEGE , July , 1855 . I. TODHUNTER .. In the second edition the work has been revised and.
... the belief that the subject is thus presented in its most accessible form to students in the early stages of their progress . ST JOHN'S COLLEGE , July , 1855 . I. TODHUNTER .. In the second edition the work has been revised and.
Σελίδα
... edition some articles which experience proved to be difficult for students have been simplified and improved , and a few additional illustrations have been introduced . In consequence of the demand for the work proving much greater than ...
... edition some articles which experience proved to be difficult for students have been simplified and improved , and a few additional illustrations have been introduced . In consequence of the demand for the work proving much greater than ...
Σελίδα 236
... Edition , pages 142 , 143 . 279. We shall now shew how to trace a curve of the second degree from its equation without transformation of co - ordinates ; the axes may be supposed oblique or rect- angular . Let the equation be ax2 + bxy ...
... Edition , pages 142 , 143 . 279. We shall now shew how to trace a curve of the second degree from its equation without transformation of co - ordinates ; the axes may be supposed oblique or rect- angular . Let the equation be ax2 + bxy ...
Σελίδα 327
... Edition , revised . Crown 8vo , cloth , 7s . 6d . An Elementary Treatise on the Theory of Equations , with a Collection of Examples . Crown 8vo , cloth , 78. 6d . 3. A Treatise on Plane Trigonometry , for the use of Colleges and Schools ...
... Edition , revised . Crown 8vo , cloth , 7s . 6d . An Elementary Treatise on the Theory of Equations , with a Collection of Examples . Crown 8vo , cloth , 78. 6d . 3. A Treatise on Plane Trigonometry , for the use of Colleges and Schools ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b² a²b³ a²y abscissa asymptotes ax² axes axis of x b²x² bisects centre chord of contact circle conic section conjugate diameters conjugate hyperbola constant Crown 8vo cy² denote directrix distance Edition ellipse equa equal Examples external point find the equation find the locus fixed point focal chord focus given lines given point Hence the equation inclined latus rectum Let the equation line drawn line joining lines meet lines which pass major axis meet the curve middle point negative normal ordinate origin parabola parallel perpendicular point h point of intersection polar co-ordinates polar equation pole positive preceding article proposition radical axis radius ratio rectangular required equation respectively right angles shew shewn sides Similarly student suppose tangent tion triangle vertex x₁ y₁
Δημοφιλή αποσπάσματα
Σελίδα 100 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Σελίδα 304 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.
Σελίδα 25 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.
Σελίδα 141 - Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig.
Σελίδα 189 - Hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is greater than unity, to its distance from a fixed straight line, called the directrix.