A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Τόμος 2Longman, Orme & Company, 1843 |
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Σελίδα iii
... corresponding pecuniary conditions . I may , hence , fairly disclaim every mercenary motive in the labours here brought to a close . Hutton's Course was , in fact , the first mathematical work I studied . I may , hence , be allowed to ...
... corresponding pecuniary conditions . I may , hence , fairly disclaim every mercenary motive in the labours here brought to a close . Hutton's Course was , in fact , the first mathematical work I studied . I may , hence , be allowed to ...
Σελίδα 1
... correspond to the subjects of inquiry comprehended under plane geometry . The number of properties which can be stated in arcs of circles , in precisely the same form that corresponding properties of straight lines in plano can be ...
... correspond to the subjects of inquiry comprehended under plane geometry . The number of properties which can be stated in arcs of circles , in precisely the same form that corresponding properties of straight lines in plano can be ...
Σελίδα 16
... corresponding inscribed triangle . LET O be the point of section of the arcs BO , CO , which bisect the interior angles B and C , and join OA : also draw OD , OE , OF , perpendicular to BC , CA , AB . Then the two triangles DOB , FOB ...
... corresponding inscribed triangle . LET O be the point of section of the arcs BO , CO , which bisect the interior angles B and C , and join OA : also draw OD , OE , OF , perpendicular to BC , CA , AB . Then the two triangles DOB , FOB ...
Σελίδα 26
... corresponding lan- guage when speaking of these rules . Indeed , as far as I recollect , Mr. Ivory ( Phil . Mag . 1821 ) is the only writer who has ventured to maintain a different view of the real nature of these theorems . It may ...
... corresponding lan- guage when speaking of these rules . Indeed , as far as I recollect , Mr. Ivory ( Phil . Mag . 1821 ) is the only writer who has ventured to maintain a different view of the real nature of these theorems . It may ...
Σελίδα 32
... corresponding values of the quantities concerned as functions of the parts of the primary triangle : then we get cos ( II— A ) = cos ( II B ) cos ( II — C ) + sin ( II — B ) sin ( IIC ) cos ( π — a ) - by expanding which , and changing ...
... corresponding values of the quantities concerned as functions of the parts of the primary triangle : then we get cos ( II— A ) = cos ( II B ) cos ( II — C ) + sin ( II — B ) sin ( IIC ) cos ( π — a ) - by expanding which , and changing ...
Άλλες εκδόσεις - Προβολή όλων
A Course of Mathematics ...: Composed for the Use of the Royal Military Academy Charles Hutton,Olinthus Gregory Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 2 - A diameter is any straight line drawn through the centre and terminated both ways by the surface.
Σελίδα 10 - Any two sides of a spherical triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 311 - ... the points of intersection of the three pairs of opposite sides, of a hexagon inscribed in a conic, lie in one straight line.
Σελίδα 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...
Σελίδα 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.
Σελίδα 292 - If two circles touch each other, the straight line joining their centres passes through the point of contact.
Σελίδα 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...
Σελίδα 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.