The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 110
... less , less ( V. Def . 5 ) . Again , because C is to D , as E is to F , and H and K are taken equimultiples of C and E ; and M and N , of D and F. If H be H K- C- E B- D F M N L greater than M , K is greater than N ; if equal , equal ...
... less , less ( V. Def . 5 ) . Again , because C is to D , as E is to F , and H and K are taken equimultiples of C and E ; and M and N , of D and F. If H be H K- C- E B- D F M N L greater than M , K is greater than N ; if equal , equal ...
Seite 116
... less , less . Let A , B , and C be three magnitudes , and D , E , and F other three , which taken two and two have the same ratio ; viz . , as A is to B , so is D to E ; and as B is to C , so is E to F. If A be greater than C , D is ...
... less , less . Let A , B , and C be three magnitudes , and D , E , and F other three , which taken two and two have the same ratio ; viz . , as A is to B , so is D to E ; and as B is to C , so is E to F. If A be greater than C , D is ...
Seite 211
... less sphere . Also the other planes between the quadrants BX and K X do not meet the less sphere . From the point A draw A I perpendicular to the plane of the quadrilateral S OPT , and join IO . In the same manner , as it was proved of ...
... less sphere . Also the other planes between the quadrants BX and K X do not meet the less sphere . From the point A draw A I perpendicular to the plane of the quadrilateral S OPT , and join IO . In the same manner , as it was proved of ...
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Häufige Begriffe und Wortgruppen
A B and CD A B C D A B is equal adjacent angles altitude angle ABC base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid A B solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore