The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 31
Parallelograms upon equal bases and between the same parallels , are equal to one another . ... upon equal bases BC , FG and between the same parallels A Н , B G. The parallelogram A C is equal to the parallelogram E G. G Join BE , CH .
Parallelograms upon equal bases and between the same parallels , are equal to one another . ... upon equal bases BC , FG and between the same parallels A Н , B G. The parallelogram A C is equal to the parallelogram E G. G Join BE , CH .
Seite 35
To describe a triangle equal to a given parallelogram , and having an angle equal to a given rectilineal angle . PROP . XLIII . ... The complements of the parallelograms , which are about the diagonal of any parallelogram , are equal .
To describe a triangle equal to a given parallelogram , and having an angle equal to a given rectilineal angle . PROP . XLIII . ... The complements of the parallelograms , which are about the diagonal of any parallelogram , are equal .
Seite 147
If the parallelo- gram A G , is equal to the rectilineal figure C , what was required is done ; for the straight line AB is divided into two parts at E , so that , of the two parallelograms A G and EF of the same altitude de- scribed ...
If the parallelo- gram A G , is equal to the rectilineal figure C , what was required is done ; for the straight line AB is divided into two parts at E , so that , of the two parallelograms A G and EF of the same altitude de- scribed ...
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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 |