A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volumen2Longman, Orme & Company, 1843 |
Dentro del libro
Resultados 1-5 de 99
Página iii
... Spherical Trigonometry there is given a chapter on the Geometry of the Sphere , comprising , besides the propositions usually to be found in other treatises , several curious and important ones used in the course of this work for the ...
... Spherical Trigonometry there is given a chapter on the Geometry of the Sphere , comprising , besides the propositions usually to be found in other treatises , several curious and important ones used in the course of this work for the ...
Página iv
... spherical triangles from the right - angled triangle is probably new and the entire series of formulæ of solution is ... spherical tri- angles . In the solution of spherical triangles , I have introduced a new classifi- cation of the ...
... spherical triangles from the right - angled triangle is probably new and the entire series of formulæ of solution is ... spherical tri- angles . In the solution of spherical triangles , I have introduced a new classifi- cation of the ...
Página v
... spherical triangles , and use the two astronomical triangles , they would find the claims upon their memory and attention greatly abridged . The idea of the two astronomical triangles was suggested by a remark of Dr. Pearson , who , in ...
... spherical triangles , and use the two astronomical triangles , they would find the claims upon their memory and attention greatly abridged . The idea of the two astronomical triangles was suggested by a remark of Dr. Pearson , who , in ...
Página vii
... spherical co - ordinates . A fuller and more expanded use of these , will , however , be given hereafter . The equation of the radical axis of two circles is also here given in a form fitted for following out a more extended series of ...
... spherical co - ordinates . A fuller and more expanded use of these , will , however , be given hereafter . The equation of the radical axis of two circles is also here given in a form fitted for following out a more extended series of ...
Página x
... between the vertices of the curve and its evolute ; and in the ellipse and hyperbola the cusp of the evolute is at the dis- tance ae2 from the centre . CONTENTS . SPHERICAL TRIGONOMETRY . PAGE PAGE Rectilinear equations of.
... between the vertices of the curve and its evolute ; and in the ellipse and hyperbola the cusp of the evolute is at the dis- tance ae2 from the centre . CONTENTS . SPHERICAL TRIGONOMETRY . PAGE PAGE Rectilinear equations of.
Otras ediciones - Ver todas
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.