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Fra bogen
Resultater 1-5 af 70
Side 9
... original values , and rejecting all terms of the second and higher degrees in a and e , he obtained the limiting value of a e , or of PM : MT , thus determining the value of the subtangent . The triangle PQR , which has for its sides ...
... original values , and rejecting all terms of the second and higher degrees in a and e , he obtained the limiting value of a e , or of PM : MT , thus determining the value of the subtangent . The triangle PQR , which has for its sides ...
Side 13
... original conception of the cal- enlus in England , as well as on the Continent , was based on infinitesimal principles . Objection has frequently been made to Newton's method of fluxions , that it introduced a foreign idea , namely ...
... original conception of the cal- enlus in England , as well as on the Continent , was based on infinitesimal principles . Objection has frequently been made to Newton's method of fluxions , that it introduced a foreign idea , namely ...
Side 15
... original creased indefinitely , i.e. , so as to exceed any assigned num- ber , however great , then each part may be regarded as indefinitely small in comparison with the proposed magni- tude , and may be called an infinitesimal with ...
... original creased indefinitely , i.e. , so as to exceed any assigned num- ber , however great , then each part may be regarded as indefinitely small in comparison with the proposed magni- tude , and may be called an infinitesimal with ...
Side 17
... original index . 20. We shall next consider the elementary circular and rigonometrical functions . Let y = sin x . Then yı h 2 But 4 sin quently = sin ( x + h ) ; h h 2 sin cos ( x + 2 ) . h sin ( x + h ) - sin x 2 h becomes unity in ...
... original index . 20. We shall next consider the elementary circular and rigonometrical functions . Let y = sin x . Then yı h 2 But 4 sin quently = sin ( x + h ) ; h h 2 sin cos ( x + 2 ) . h sin ( x + h ) - sin x 2 h becomes unity in ...
Side 34
... original function . Many applications of these principles will be found in Sal- mon's Higher Plane Curves , as also in his Geometry of Three Dimensions . A few additional examples are added for illustration . ( 1 ) If x = tan e ...
... original function . Many applications of these principles will be found in Sal- mon's Higher Plane Curves , as also in his Geometry of Three Dimensions . A few additional examples are added for illustration . ( 1 ) If x = tan e ...
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