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 140
... Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the same ratio that the polygons have ; and the polygons have to one another the duplicate ratio of that which their ...
... Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the same ratio that the polygons have ; and the polygons have to one another the duplicate ratio of that which their ...
Seite 141
... similar polygons , & c . Q. E. D. COROLLARY 1. - In like manner it may be proved , that similar four- sided figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this ...
... similar polygons , & c . Q. E. D. COROLLARY 1. - In like manner it may be proved , that similar four- sided figures , or figures of any number of sides , are , one to another in the duplicate ratio of their homologous sides ; and this ...
Seite 193
... similar triangular pyramids similar to the whole pyramid , and two equal prisms which are together greater than half of the whole pyramid . Bisect A B , BC , CA , AD , DB , and DC , at the points E , F , G , H , K , and L ; and join E H ...
... similar triangular pyramids similar to the whole pyramid , and two equal prisms which are together greater than half of the whole pyramid . Bisect A B , BC , CA , AD , DB , and DC , at the points E , F , G , H , K , and L ; and join E H ...
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 meet 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 three straight lines touches the circle triangle ABC triplicate ratio twice the rectangle vertex Wherefore
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |