A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 1
... called a maximum when it has reached the greatest magnitude it can possibly attain ; and , on the contrary , when it has arrived at the least possible magnitude , it is called a minimum . Def . 2. Isoperimeters , or Isoperimetrical ...
... called a maximum when it has reached the greatest magnitude it can possibly attain ; and , on the contrary , when it has arrived at the least possible magnitude , it is called a minimum . Def . 2. Isoperimeters , or Isoperimetrical ...
Page 36
... called " the exponential expression of cos . x and sin . x . " Multiply the two equations , cos.x - 1 sin . x and cos . x , ± √ 1 , sin . x , which gives ( cos . x cos . x , sin . x sin . x ) + ( cos . x sin . x , + sin . x cos . x ...
... called " the exponential expression of cos . x and sin . x . " Multiply the two equations , cos.x - 1 sin . x and cos . x , ± √ 1 , sin . x , which gives ( cos . x cos . x , sin . x sin . x ) + ( cos . x sin . x , + sin . x cos . x ...
Page 37
... called Demoivre's theorem . Though this formula is of the utmost importance in the higher researches which occur in mathematical science , we can here only find room for two of the most elementary . First , to express ( sin . n ) " and ...
... called Demoivre's theorem . Though this formula is of the utmost importance in the higher researches which occur in mathematical science , we can here only find room for two of the most elementary . First , to express ( sin . n ) " and ...
Page 49
... called legs ; the side opposite to the right angle is called the hypothenuse . Def . 4. A quadrantal spherical triangle has one side equal to 90 ° or a quarter of a great circle . Def . 5. The two arcs or angles , when compared together ...
... called legs ; the side opposite to the right angle is called the hypothenuse . Def . 4. A quadrantal spherical triangle has one side equal to 90 ° or a quarter of a great circle . Def . 5. The two arcs or angles , when compared together ...
Page 50
... called the axis of such circle ; and the extremities of the axis , or the points where it meets the surface , are called the poles , of that circle . Thus , PGP ' is the axis , and P , P ' , are the poles , of the great circle CND . 7 ...
... called the axis of such circle ; and the extremities of the axis , or the points where it meets the surface , are called the poles , of that circle . Thus , PGP ' is the axis , and P , P ' , are the poles , of the great circle CND . 7 ...
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