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 vii
... variables , it is proved that every equation of the second degree is that of a conic section . The most general properties of the conic sections are then deduced by the method of co - ordinates ; and some methods and discussions , not ...
... variables , it is proved that every equation of the second degree is that of a conic section . The most general properties of the conic sections are then deduced by the method of co - ordinates ; and some methods and discussions , not ...
Página xii
... variable ...... 371 The right cone .. ib . Vanishing fractions 375 The sphere 538 Maxima and minima ... 377 Spheroids 539 Tangents , normals , and asymptotes Do. in polar co - ordinates . Differentials of lengths and areas Radius of ...
... variable ...... 371 The right cone .. ib . Vanishing fractions 375 The sphere 538 Maxima and minima ... 377 Spheroids 539 Tangents , normals , and asymptotes Do. in polar co - ordinates . Differentials of lengths and areas Radius of ...
Página 20
... variable quantity in the expression for the area of the spherical triangle is the spherical excess , E = A + B + C — II , the excess is a correct representation of the area in terms of the unit Corollary 2 . wr2 Π 2 A polygon of n sides ...
... variable quantity in the expression for the area of the spherical triangle is the spherical excess , E = A + B + C — II , the excess is a correct representation of the area in terms of the unit Corollary 2 . wr2 Π 2 A polygon of n sides ...
Página 47
... variable part of this expression in reference to a given sphere is that of the spherical excess , A + B + C — II , it is usual to speak of the excess and the area as convertible terms . Recollecting that to the unit the excess рово II ...
... variable part of this expression in reference to a given sphere is that of the spherical excess , A + B + C — II , it is usual to speak of the excess and the area as convertible terms . Recollecting that to the unit the excess рово II ...
Página 84
... variable with the observer's position on the earth's surface . The principal points , lines , and circles , which enter into this department of astronomy , are described in the following DEFINITIONS . 1. The axis of the earth is a line ...
... variable with the observer's position on the earth's surface . The principal points , lines , and circles , which enter into this department of astronomy , are described in the following DEFINITIONS . 1. The axis of the earth is a line ...
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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.