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 4
... parallel . Corollary 3 . Parallel tangent planes touch the sphere at the opposite extremities of a diameter . PROP . III . THEOREM . If tangents be drawn to two great circles of the sphere at either point of inter- section , the angle ...
... parallel . Corollary 3 . Parallel tangent planes touch the sphere at the opposite extremities of a diameter . PROP . III . THEOREM . If tangents be drawn to two great circles of the sphere at either point of inter- section , the angle ...
Página 23
... parallel and equal less circles of the sphere , and these be joined in the manner of a parallelogram in plano , the figure enclosed will be of a given and constant magnitude . 7. If the base and area of a spherical triangle be given ...
... parallel and equal less circles of the sphere , and these be joined in the manner of a parallelogram in plano , the figure enclosed will be of a given and constant magnitude . 7. If the base and area of a spherical triangle be given ...
Página 85
... parallel of latitude is a less circle of the sphere , passing through any point of the earth which has a specified latitude , parallel to the equator , and cut- ting off equal arcs from all the meridians . 8. The horizon of a place , or ...
... parallel of latitude is a less circle of the sphere , passing through any point of the earth which has a specified latitude , parallel to the equator , and cut- ting off equal arcs from all the meridians . 8. The horizon of a place , or ...
Página 86
... parallels of celestial latitude and parallels of declination . 31. The parallels of declination which touch the ecliptic are called the tropics ; of which that in the northern equatorial hemisphere is the tropic of Cancer , and the ...
... parallels of celestial latitude and parallels of declination . 31. The parallels of declination which touch the ecliptic are called the tropics ; of which that in the northern equatorial hemisphere is the tropic of Cancer , and the ...
Página 104
... parallel to the plane which makes the section . A fundamental and general property of the conic section is , in each case , deduced from the plane and cone conjointly ; after which are deduced from this one pro- perty of each kind of ...
... parallel to the plane which makes the section . A fundamental and general property of the conic section is , in each case , deduced from the plane and cone conjointly ; after which are deduced from this one pro- perty of each kind of ...
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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.