The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 32
Also , the triangle DBC is half of the parallelogram B F , because the diagonal DC bisects it . ... Let the triangles ABC , DEF , be upon equal bases BC , EF , and between the same parallels BF , Á D. The triangle ABC is equal to the ...
Also , the triangle DBC is half of the parallelogram B F , because the diagonal DC bisects it . ... Let the triangles ABC , DEF , be upon equal bases BC , EF , and between the same parallels BF , Á D. The triangle ABC is equal to the ...
Seite 33
Let the equal triangles A B C , D B C , be upon the same base B C , and upon the same side of it . ... and join E C. The triangle A B C is equal to the triangle E B C ( I. 37 ) , because they are upon the same base B C , and between the ...
Let the equal triangles A B C , D B C , be upon the same base B C , and upon the same side of it . ... and join E C. The triangle A B C is equal to the triangle E B C ( I. 37 ) , because they are upon the same base B C , and between the ...
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 , so is the ... BG , and G H , are all equal , the triangles AHG , AGB , and A B C , are all equal ( I. 38 ) .
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 , so is the ... BG , and G H , are all equal , the triangles AHG , AGB , and A B C , are all equal ( I. 38 ) .
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
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 |