A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 2
... parallel to the base ; and when LM in the above figure becomes parallel to AB , since MCB = ACL , MCB = CBA ( theor . 12 , Geom ) , ACL = CAB ; it follows that CAB = CBA , and consequently AC = CB ( theor . 4 , Geom . ) Cor . 2. Of all ...
... parallel to the base ; and when LM in the above figure becomes parallel to AB , since MCB = ACL , MCB = CBA ( theor . 12 , Geom ) , ACL = CAB ; it follows that CAB = CBA , and consequently AC = CB ( theor . 4 , Geom . ) Cor . 2. Of all ...
Page 3
... parallel to AB , to cut CE ( drawn perpendicular to AB ) in C ' : then it is to be demonstrated that CE is greater than C ́E . E D The triangles ACB , ADB , are equal both in base and altitude ; but the triangle AC'B is isosceles ...
... parallel to AB , to cut CE ( drawn perpendicular to AB ) in C ' : then it is to be demonstrated that CE is greater than C ́E . E D The triangles ACB , ADB , are equal both in base and altitude ; but the triangle AC'B is isosceles ...
Page 54
... parallel lines , without specifying which is taken as the line of reference , and knowing that the second is related to the first in the same way that the first is to the second , we simply denominate them parallels . The same practice ...
... parallel lines , without specifying which is taken as the line of reference , and knowing that the second is related to the first in the same way that the first is to the second , we simply denominate them parallels . The same practice ...
Page 86
... parallel less circles be described : then all the spherical triangles which have the same base , and their vertices in the circle through the vertex of the given one will have the same area . Ex . 45. If the vertical angle of a ...
... parallel less circles be described : then all the spherical triangles which have the same base , and their vertices in the circle through the vertex of the given one will have the same area . Ex . 45. If the vertical angle of a ...
Page 97
... parallel to a tangent plane of the cone , or when it makes the same angle with the plane of the base that the tangent plane parallel to it does . [ It is to be proved that this curve is of infinite extent on the side BE estimated from A ...
... parallel to a tangent plane of the cone , or when it makes the same angle with the plane of the base that the tangent plane parallel to it does . [ It is to be proved that this curve is of infinite extent on the side BE estimated from A ...
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