The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
Im Buch
Ergebnisse 1-3 von 27
Seite 141
... figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this has been proved of triangles ( VI . 19 ) . Therefore , universally , similar rectilineal figures are to one ...
... figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this has been proved of triangles ( VI . 19 ) . Therefore , universally , similar rectilineal figures are to one ...
Seite 144
... rectilineal figure similar to one given rectilineal figure , and equal to another given rectilineal figure . Let A B C be one given rectilineal figure , and D another given recti- lineal figure . It is required to describe a rectilineal ...
... rectilineal figure similar to one given rectilineal figure , and equal to another given rectilineal figure . Let A B C be one given rectilineal figure , and D another given recti- lineal figure . It is required to describe a rectilineal ...
Seite 145
... figure K G H similar and similarly situated to the figure ABC ( VI . 18 ) . Because BC is to GH , as G H is to CF ... rectilineal figure A B C is to the rectilineal figure K G H. But B C is to CF , as the parallelogram B E is to the ...
... figure K G H similar and similarly situated to the figure ABC ( VI . 18 ) . Because BC is to GH , as G H is to CF ... rectilineal figure A B C is to the rectilineal figure K G H. But B C is to CF , as the parallelogram B E is to the ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C 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 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