A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 1
... problem has been elegantly treated by some of the writers on that branch of analysis ; especially by Mac- laurin and Simpson . A much more extensive problem was investigated at the time of " the war of problems , " between the two ...
... problem has been elegantly treated by some of the writers on that branch of analysis ; especially by Mac- laurin and Simpson . A much more extensive problem was investigated at the time of " the war of problems , " between the two ...
Page 23
... problems . 18. We may now proceed to the investigation of other expressions relating to the sums , differences , multiples , & c . of arcs ; and in order that these expres- sions may have the more generality , give to the radius any ...
... problems . 18. We may now proceed to the investigation of other expressions relating to the sums , differences , multiples , & c . of arcs ; and in order that these expres- sions may have the more generality , give to the radius any ...
Page 33
... problem the actual addition of all the terms would be a most tiresome labour : but the solution , by means of equation XXVII , is rendered very easy . Applying that theorem to the present case , we have sin . ( A + B ) = sin . 45 ...
... problem the actual addition of all the terms would be a most tiresome labour : but the solution , by means of equation XXVII , is rendered very easy . Applying that theorem to the present case , we have sin . ( A + B ) = sin . 45 ...
Page 35
... and - sin.2 m sin.2 n + cos.2 m cos.2 n + sin.2 m cos.2 n + cos.2 m sin.2 n = 1 . Problems thus marked are to be also constructed geometrically . a ON DEMOIVRE'S THEOREM . By means of the exponential D 2 ANALYTICAL PLANE TRIGONOMETRY . 35.
... and - sin.2 m sin.2 n + cos.2 m cos.2 n + sin.2 m cos.2 n + cos.2 m sin.2 n = 1 . Problems thus marked are to be also constructed geometrically . a ON DEMOIVRE'S THEOREM . By means of the exponential D 2 ANALYTICAL PLANE TRIGONOMETRY . 35.
Page 42
... PROBLEMS IN PLANE TRIGONOMETRICAL SURVEYING . LEMMA . Ir straight lines be drawn from any point to all the angles of a ... PROBLEM I. Given AB , a , b ; and the angles m , n , taken at some point P in the same horizontal plane ( as ABC ) ...
... PROBLEMS IN PLANE TRIGONOMETRICAL SURVEYING . LEMMA . Ir straight lines be drawn from any point to all the angles of a ... PROBLEM I. Given AB , a , b ; and the angles m , n , taken at some point P in the same horizontal plane ( as ABC ) ...
Other editions - View all
A Course of Mathematics: For the Use of Academies ... as Well as Private Tuition Charles Hutton No preview available - 2015 |
A Course of Mathematics: For the Use of Academies ... As Well As Private Tuition Charles Hutton No preview available - 2022 |
A Course of Mathematics: For the Use of Academies, as Well as Private Tuition Charles Hutton No preview available - 2015 |
Common terms and phrases
abscisses altitude asymptotes Ax² axis ball base becomes bisected body Ca² centre of gravity chord circle circumscribed co-ordinates coefficients cone conic section conjugate conjugate hyperbolas consequently Corol cosec cosine curve denoted determine diameter difference differential direction distance divided draw drawn ellipse equal equation equilibrium expression feet figure find the fluent fluid fluxion force function Geom given Hence horizontal hyperbola inches intersection length logarithm motion ordinate parabola parallel parallelogram pendulum perpendicular plane polygon pressure produced PROP proportional quantity radius ratio rectangle respectively right angles SCHOLIUM sides similar triangles sine solid angles specific gravity sphere spherical triangle square Suppose surface tangent theor theorem transverse trigonometrical variable velocity vertex vertical weight whence