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 81
Página iv
... less completed state , in Leybourn's Repository , and in the Ladies ' and Gentleman's Diaries . The chapter on Spherical Astronomy , brief as it is , contains all that is required for the purpose . If practical astronomers , instead of ...
... less completed state , in Leybourn's Repository , and in the Ladies ' and Gentleman's Diaries . The chapter on Spherical Astronomy , brief as it is , contains all that is required for the purpose . If practical astronomers , instead of ...
Página v
... less gifted than the greatest of their predecessors of anti- quity . In many respects I am much indebted to the Geometry of Curve Lines , of the late , and very imperfectly estimated , Sir John Leslie * , in the The scientific character ...
... less gifted than the greatest of their predecessors of anti- quity . In many respects I am much indebted to the Geometry of Curve Lines , of the late , and very imperfectly estimated , Sir John Leslie * , in the The scientific character ...
Página ix
... less in the present state of science ; and their republication in the shape they formerly assumed would neither be considered creditable to an editor , nor prove advantageous to a publisher . The proof sheets have been read with great ...
... less in the present state of science ; and their republication in the shape they formerly assumed would neither be considered creditable to an editor , nor prove advantageous to a publisher . The proof sheets have been read with great ...
Página 2
... less circle . 9. The poles of a less circle are called the contiguous and the remote pole , respectively , according as the pole is in the less , or in the greater , segment of the spherical surface , made by the plane . 10. When two ...
... less circle . 9. The poles of a less circle are called the contiguous and the remote pole , respectively , according as the pole is in the less , or in the greater , segment of the spherical surface , made by the plane . 10. When two ...
Página 3
... less than , they are said to be of the same affection ; and when one ( either side or angle ) is greater and the other less than , they are said to be of different affections , or of unlike affection . 21. A quadrantal triangle has one ...
... less than , they are said to be of the same affection ; and when one ( either side or angle ) is greater and the other less than , they are said to be of different affections , or of unlike affection . 21. A quadrantal triangle has one ...
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.