A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 16
... length of its third side ? Ex . 4. The circumference of a circle is 12 , and the perimeter of an irregular polygon which circumscribes it is 15 : what are their respective areas ? Ex . 5. Required the surface and the solidity of the ...
... length of its third side ? Ex . 4. The circumference of a circle is 12 , and the perimeter of an irregular polygon which circumscribes it is 15 : what are their respective areas ? Ex . 5. Required the surface and the solidity of the ...
Page 27
... length , we shall pass them by ; and merely investigate a few properties where more than two arcs or angles are concerned , and which may be of use in some subsequent parts of this volume . 29. Let A , B , C , be any three arcs or ...
... length , we shall pass them by ; and merely investigate a few properties where more than two arcs or angles are concerned , and which may be of use in some subsequent parts of this volume . 29. Let A , B , C , be any three arcs or ...
Page 28
... length be obtained - cos . ( A + B ) sin . ( A · B ) + cos . ( B + C ) sin . ( B — C ) + & c . . . + cos . ( LA ) sin . ( LA ) = 0 . 33. If the arcs A , B , C , & c . . . . L form an arithmetical progression , of which the first term is ...
... length be obtained - cos . ( A + B ) sin . ( A · B ) + cos . ( B + C ) sin . ( B — C ) + & c . . . + cos . ( LA ) sin . ( LA ) = 0 . 33. If the arcs A , B , C , & c . . . . L form an arithmetical progression , of which the first term is ...
Page 48
... length of the time ? And give the calculation when a = 23 ° 10 ′ ẞ = 24 ° 15 ′ and y = 33 ° 18 ' , the segments a and b being 151 and 176 yards respectively . ac sin . a + ẞ sin . ẞ + y Ans . ( the segment BC ) is found from ( a + x ) ...
... length of the time ? And give the calculation when a = 23 ° 10 ′ ẞ = 24 ° 15 ′ and y = 33 ° 18 ' , the segments a and b being 151 and 176 yards respectively . ac sin . a + ẞ sin . ẞ + y Ans . ( the segment BC ) is found from ( a + x ) ...
Page 58
... length becomes cos . A sin . C cos . a sin . B . sin . A cos . C cos . b . In like manner we have , cos . B sin . C cos . b sin . A sin . B cos . C cos . a . Exterminating cos . b from these , and applying the same process to the other ...
... length becomes cos . A sin . C cos . a sin . B . sin . A cos . C cos . b . In like manner we have , cos . B sin . C cos . b sin . A sin . B cos . C cos . a . Exterminating cos . b from these , and applying the same process to the other ...
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