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 iv
... plane triangles , will render the rules of spherical trigonometry equally simple and easy to recollect with those in plane trigonometry . In all the exam- ples it has been my aim to give the best working formularies , as well as the ...
... plane triangles , will render the rules of spherical trigonometry equally simple and easy to recollect with those in plane trigonometry . In all the exam- ples it has been my aim to give the best working formularies , as well as the ...
Página xii
... plane base ... 543 418 Surfaces generated by a line or plane : The right , or common groin .. ...... 541 xii CONTENTS .
... plane base ... 543 418 Surfaces generated by a line or plane : The right , or common groin .. ...... 541 xii CONTENTS .
Página 1
... planes containing which , all pass through the centre of the sphere . The term is now often extended to all investigations ... plane and spherical properties , as expressed by trigonometrical functions , is altogether unlimited . This ...
... planes containing which , all pass through the centre of the sphere . The term is now often extended to all investigations ... plane and spherical properties , as expressed by trigonometrical functions , is altogether unlimited . This ...
Página 2
... plane is any plane drawn through the centre ; and its inter- section with the surface of the sphere is a great circle of the sphere . 5. An excentric plane is any plane which cuts the sphere , but does not pass through its centre ; and ...
... plane is any plane drawn through the centre ; and its inter- section with the surface of the sphere is a great circle of the sphere . 5. An excentric plane is any plane which cuts the sphere , but does not pass through its centre ; and ...
Página 3
... plane , and equidistant from a point O in that plane , they are in the circumference of a circle . Hence the diametral sec- tion of the sphere is a circle , whose radius is equal to that of the sphere , and its centre coincident with ...
... plane , and equidistant from a point O in that plane , they are in the circumference of a circle . Hence the diametral sec- tion of the sphere is a circle , whose radius is equal to that of the sphere , and its centre coincident with ...
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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.