Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce Morton] 1830. Elements of trigonometry, by W. Hopkins. 1833. Elements of spherical trigonometry, by A. De Morgan. A treatise on algebraical geometry, by S.W. Waud. 1835Baldwin & Craddock, 1835 |
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Resultat 1-5 av 56
Side 68
... original progression 1 ,,, and inserting first one harmonical mean between its terms , we get the progression 1 , † , † , † , † ; se- condly , two harmonical means between its terms , 1 , 4 , 4 , 3 , 3 , Tr , ; and thirdly , three har ...
... original progression 1 ,,, and inserting first one harmonical mean between its terms , we get the progression 1 , † , † , † , † ; se- condly , two harmonical means between its terms , 1 , 4 , 4 , 3 , 3 , Tr , ; and thirdly , three har ...
Side 74
... original ratio ; and so on . Let these successive ratios be written one after another in the order in which they are derived : ( a ) R : P ; ( b ) P : 2 P + R , ( c ) 2 P + R : 5 P + 2R ; ( d ) 5 P + 2R : 12 P + 5R ; ( e ) 12 P +5 R ...
... original ratio ; and so on . Let these successive ratios be written one after another in the order in which they are derived : ( a ) R : P ; ( b ) P : 2 P + R , ( c ) 2 P + R : 5 P + 2R ; ( d ) 5 P + 2R : 12 P + 5R ; ( e ) 12 P +5 R ...
Side 86
... original posi- tion CA , is brought successively into the positions C Q , C Q 2 , C Q ,, and thence again , continuing its revolution , a second time into the same positions CA , CQ , CQ2 , CQ3 , and so on . Then it is evident that the ...
... original posi- tion CA , is brought successively into the positions C Q , C Q 2 , C Q ,, and thence again , continuing its revolution , a second time into the same positions CA , CQ , CQ2 , CQ3 , and so on . Then it is evident that the ...
Side 102
... original figure above the circle , so that , were there might be found greater than the circle , such an excess , a rectilineal figure and yet of less perimeter , which is im- possible . This method will not , how- ever , carry us any ...
... original figure above the circle , so that , were there might be found greater than the circle , such an excess , a rectilineal figure and yet of less perimeter , which is im- possible . This method will not , how- ever , carry us any ...
Side 146
... original pyramid ; the second is equal ( 30. ) to a pyramid BCDE , upon the same base CDE , and having its vertex B in the same line AB parallel ( 10. ) to the base ; and the third is equal to a pyramid BDEF , upon the same base D E F ...
... original pyramid ; the second is equal ( 30. ) to a pyramid BCDE , upon the same base CDE , and having its vertex B in the same line AB parallel ( 10. ) to the base ; and the third is equal to a pyramid BDEF , upon the same base D E F ...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ... Uten tilgangsbegrensning - 1835 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude apothem base BC bisect centre chord circum circumference circumscribed coincide common measure common section compounded cone conic section contained convex surface cylinder describe a circle diameter dihedral angle divided draw drawn edges equal angles equimultiples ference fore four magnitudes frustum given point given straight line gles harmonical harmonical mean Hence hyperbola hypotenuse inscribed join likewise locus meet parallel parallelogram parallelopiped pass pendicular pentagon perimeter perpendicular plane prism Prob produced PROP proposition pyramid quadrilateral radii radius rallel rectangle rectilineal figure regular polygon respectively right angles Scholium scribed segment sides A B similar solid angles sphere spherical angle square of A B straight lines A B tangent third three sides touch triangle ABC vertex vertical