A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 4
... sine is the greatest : but the greatest sine is the sine total , or the sine of a quadrant ; therefore the two sides given make a quadrantal angle , or are perpendicular to each other . Q. E. D. THEOREM V. Or all rectilinear figures in ...
... sine is the greatest : but the greatest sine is the sine total , or the sine of a quadrant ; therefore the two sides given make a quadrantal angle , or are perpendicular to each other . Q. E. D. THEOREM V. Or all rectilinear figures in ...
Page 17
... SINE of an arc , is the perpendicular let fall from one of its extremities upon the diameter of the circle , which passes through the other extremity . The COSINE of an arc , is the sine of the complement of that arc , and is equal to ...
... SINE of an arc , is the perpendicular let fall from one of its extremities upon the diameter of the circle , which passes through the other extremity . The COSINE of an arc , is the sine of the complement of that arc , and is equal to ...
Page 18
... sine . The COTANGENT , COSECANT , and COVERSED SINE of an arc , are the tangent , secant , and versed sine , of the complement of such arc . 3. Since arcs are proper and adequate measures of plane angles ( the ratio of any two plane ...
... sine . The COTANGENT , COSECANT , and COVERSED SINE of an arc , are the tangent , secant , and versed sine , of the complement of such arc . 3. Since arcs are proper and adequate measures of plane angles ( the ratio of any two plane ...
Page 20
... sine ( cor . 1 , p . 385 , vol . i . ) , we have sin . ( B + C ) = sin . B cos . C + sin . C cos . B. 10. If , in the last equation , C become subtractive , then would sin . C mani- festly become subtractive also , while the cosine of C ...
... sine ( cor . 1 , p . 385 , vol . i . ) , we have sin . ( B + C ) = sin . B cos . C + sin . C cos . B. 10. If , in the last equation , C become subtractive , then would sin . C mani- festly become subtractive also , while the cosine of C ...
Page 21
... sine PM keeps increasing , and the cosine CP decreasing , till the describ- ing point M has passed over a quadrant ... sine P'M ' will diminish , while the cosine C'P ' , which now falls on the contrary side of the centre C , will ...
... sine PM keeps increasing , and the cosine CP decreasing , till the describ- ing point M has passed over a quadrant ... sine P'M ' will diminish , while the cosine C'P ' , which now falls on the contrary side of the centre C , will ...
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