The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 124
As the base B C is to the base CD , so is the triangle A B C to the triangle A CD ; and as the base B C is to the base C Ď ... Join A Ğ , A H , A K , HG B C and A L. E Because C B , BG , and G H , are all equal , the triangles AHG , AGB ...
As the base B C is to the base CD , so is the triangle A B C to the triangle A CD ; and as the base B C is to the base C Ď ... Join A Ğ , A H , A K , HG B C and A L. E Because C B , BG , and G H , are all equal , the triangles AHG , AGB ...
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 ... Therefore the triangle A B E is equiangular and similar to the triangle FGL ( VI .
Similar polygons are divisible into the same number of similar triangles ; these triangles have to one another the same ratio that the polygons have ... Therefore the triangle A B E is equiangular and similar to the triangle FGL ( VI .
Seite 193
Therefore the base EH is equal to the base K D , and the triangle A EH is equal ( I. 4 ) and similar to the triangle HK D. For the same reason , the triangle A G H is equal and similar to the triangle HLD .
Therefore the base EH is equal to the base K D , and the triangle A EH is equal ( I. 4 ) and similar to the triangle HK D. For the same reason , the triangle A G H is equal and similar to the triangle HLD .
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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 |