The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 85
Therefore the remaining angle BAC is equal ( I. 32 and Ãx . 1 ) to the remaining angle EDF . Wherefore the triangle A B C is equiangular to the triangle DEF , and it is inscribed in the circle A B C. Q. E. F. Exercise .
Therefore the remaining angle BAC is equal ( I. 32 and Ãx . 1 ) to the remaining angle EDF . Wherefore the triangle A B C is equiangular to the triangle DEF , and it is inscribed in the circle A B C. Q. E. F. Exercise .
Seite 130
At the points D and F , in the straight line DF , make the angle FD G equal to either of the angles B A C or EDF ( I. 23 ) ; and the angle DFG equal to the angle A CB . Because the remaining angle at B is equal to the remaining angle at ...
At the points D and F , in the straight line DF , make the angle FD G equal to either of the angles B A C or EDF ( I. 23 ) ; and the angle DFG equal to the angle A CB . Because the remaining angle at B is equal to the remaining angle at ...
Seite 138
Be- cause the remaining angle A G B is equal to the remaining angle CFD ( I. 32 , and Ax . 3 ) . Therefore the triangle G A B is equiangular K to the triangle FCD . Again , at the points G and B , in the straight line G B , make the ...
Be- cause the remaining angle A G B is equal to the remaining angle CFD ( I. 32 , and Ax . 3 ) . Therefore the triangle G A B is equiangular K to the triangle FCD . Again , at the points G and B , in the straight line G B , make the ...
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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 |