A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volumen2Longman, Orme & Company, 1843 |
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Página viii
... Integral Calculus . In the developement of the first principles , the principle of limiting ratios , or , as I have here ventured to call it , of tendent ratios , is employed . Into the arguments in favour of this , or the rival method ...
... Integral Calculus . In the developement of the first principles , the principle of limiting ratios , or , as I have here ventured to call it , of tendent ratios , is employed . Into the arguments in favour of this , or the rival method ...
Página xi
... problem 94 GEOMETRY OF CO - ORDINATES . Exercises Miscellaneous exercises in spherics gene- 96 Definitions and notation 247 rally 98 Transformation of co - ordinates 249 Exercises The circle , rectilinear equations INTEGRAL CALCULUS . 264.
... problem 94 GEOMETRY OF CO - ORDINATES . Exercises Miscellaneous exercises in spherics gene- 96 Definitions and notation 247 rally 98 Transformation of co - ordinates 249 Exercises The circle , rectilinear equations INTEGRAL CALCULUS . 264.
Página xii
... INTEGRAL CALCULUS . 264 PAGE 269 Definitions and principles ... 434 278 Elementary Integrals 436 281 Rational fractions 443 polar equations . Radical axes , etc. of circles Exercises on the circle 285 Rationalisation 461 288 Correction ...
... INTEGRAL CALCULUS . 264 PAGE 269 Definitions and principles ... 434 278 Elementary Integrals 436 281 Rational fractions 443 polar equations . Radical axes , etc. of circles Exercises on the circle 285 Rationalisation 461 288 Correction ...
Página 162
... Integral Calculus , to which it more strictly apper- tains . It will be remarked , too , that the ellipse and hyperbola , however dissimilar in visible form , have a considerable number of properties which possess a striking geometrical ...
... Integral Calculus , to which it more strictly apper- tains . It will be remarked , too , that the ellipse and hyperbola , however dissimilar in visible form , have a considerable number of properties which possess a striking geometrical ...
Página 341
... integral calculus . The chief of the curves which have received distinct names in consequence of some peculiar interest or value attached to them , are given by means of their respective geneses : then follow a few others , which are ...
... integral calculus . The chief of the curves which have received distinct names in consequence of some peculiar interest or value attached to them , are given by means of their respective geneses : then follow a few others , which are ...
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A Course of Mathematics ...: Composed for the Use of the Royal Military Academy Charles Hutton,Olinthus Gregory Sin vista previa disponible - 2016 |
Términos y frases comunes
a₁ abscisses asymptotes axes axis B₁ bisected Ca² centre circle co-ordinates cone conic section conoïd Corollary corresponding cosec curvature curve cx² denoted differential co-efficients directrix distance draw drawn ellipse equal equation expression focus function given line hence hyperbola inscribed integral intersection lemniscate of Bernoulli loge meet ordinate p₁ parabola parallel pass perpendicular plane points of contact polar pole polygon preceding PROP proposition quadrilateral r₁ radius ratio rectangle rectangular referred respectively right angles right ascension Scholium segments sides sin² solid angle sphere spherical triangle straight line subtangent tangent Taylor's theorem theorem tractory transverse transverse plane triangle ABC values variable vertex whence Wherefore x₁ y₁
Pasajes populares
Página 2 - A diameter is any straight line drawn through the centre and terminated both ways by the surface.
Página 10 - Any two sides of a spherical triangle are together greater than the third side.
Página 14 - The problem is impossible when one of the given sides is equal to or greater than the sum of the other two (I. 66). F C" E PROPOSITION XXXV.— PROBLEM.
Página 311 - ... the points of intersection of the three pairs of opposite sides, of a hexagon inscribed in a conic, lie in one straight line.
Página 34 - Law of cosines for sides: cos a = cos b cos с + sin 6 sin с cos A cos b = cos a cos с + sin a sin с cos ß cos с = cos a cos...
Página 151 - If a Tangent and Ordinate be drawn from any Point in the Curve, meeting the Transverse Axis ; the Semi-transverse will be a Mean Proportional between the Distances of the said Two Intersections from the Centre. That is, •€A is a mean proportional between CD and CT ; or CD, CA, CT, are continued proportionals.
Página 292 - If two circles touch each other, the straight line joining their centres passes through the point of contact.
Página 105 - MF+MF' is equal to a given line. II. The straight line drawn through the foci, and terminated by the curve, is called the transverse or major axis. The middle of that part of the transverse axis which lies between the foci, is called the centre of the ellipse. The straight line drawn through the centre, at right angles to the transverse axis, and terminated by the curve, is called the conjugate or minor axis. Thus, if the straight line joining F and F...
Página 85 - AMPLITUDE, is an arc of the horizon intercepted between the east or west point, and the centre of the sun, or star, at its rising or setting.