Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added Elements of Plane and Spherical TrigonometryW. E. Dean, 1851 - 317 sider |
Inni boken
Resultat 1-5 av 17
Side 107
... equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the se- cond and fourth , and if , according as the multiple of the first is greater than the multiple of the second , equal to it , or less ...
... equimultiples whatsoever be taken of the first and third , and any equimultiples whatsoever of the se- cond and fourth , and if , according as the multiple of the first is greater than the multiple of the second , equal to it , or less ...
Side 109
... EQUIMULTIPLES of the same , or of equal magnitudes , are equal to one another . 2. Those magnitudes of which the same , or equal magnitudes , are equi- multiples , are equal to one another . 3. A multiple of a greater magnitude is ...
... EQUIMULTIPLES of the same , or of equal magnitudes , are equal to one another . 2. Those magnitudes of which the same , or equal magnitudes , are equi- multiples , are equal to one another . 3. A multiple of a greater magnitude is ...
Side 110
... equal to D + E + F , taken three times . In the same manner , if A , B , and C were each any other equimultiple of D , E , and F , it would be shown that A + B + C was the same multiple of D + E + F . COR . Hence , if m be any number ...
... equal to D + E + F , taken three times . In the same manner , if A , B , and C were each any other equimultiple of D , E , and F , it would be shown that A + B + C was the same multiple of D + E + F . COR . Hence , if m be any number ...
Side 111
... equimultiples by any number p , and of nB and nD equimultiples by any number q . Then the equimultiples of mA , and mC by p , are equimultiples also of A and C , for they contain A and C as oft as there are units in pm ( 3. 5. ) , and are ...
... equimultiples by any number p , and of nB and nD equimultiples by any number q . Then the equimultiples of mA , and mC by p , are equimultiples also of A and C , for they contain A and C as oft as there are units in pm ( 3. 5. ) , and are ...
Side 112
... equimultiples of A and C ; nB and nD any equi- multiples of B and D. Then , because A : B :: C : D , if mA be less ... equimultiples of B and D , and mA , mC any equimultiples of A and C , therefore ( def . 5. 5. ) , B : A · . D ...
... equimultiples of A and C ; nB and nD any equi- multiples of B and D. Then , because A : B :: C : D , if mA be less ... equimultiples of B and D , and mA , mC any equimultiples of A and C , therefore ( def . 5. 5. ) , B : A · . D ...
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Uten tilgangsbegrensning - 1853 |
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... Euclid,John Playfair Uten tilgangsbegrensning - 1795 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1857 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore