The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 155
A solid angle is that which is made by the meeting of more than two plane angles in one point , but which are not in the same plane . The term solid , here applied to an angle , merely indicates that the angle described belongs to a ...
A solid angle is that which is made by the meeting of more than two plane angles in one point , but which are not in the same plane . The term solid , here applied to an angle , merely indicates that the angle described belongs to a ...
Seite 172
Therefore the plane EAD coincides with the plane H B G. Wherefore the solid angle at A coincides with the solid angle at B , and they are equal ( I. Ax . 8 ) to one another . Therefore , if two solid , & c . Q. É . D. PROP .
Therefore the plane EAD coincides with the plane H B G. Wherefore the solid angle at A coincides with the solid angle at B , and they are equal ( I. Ax . 8 ) to one another . Therefore , if two solid , & c . Q. É . D. PROP .
Seite 174
24 ) to them in the several solids , and none of their solid angles are contained by more than three plane angles ; therefore the three solids LP , KR , and A V are equal ( XI . C ) to one another . For the same reason , the three ...
24 ) to them in the several solids , and none of their solid angles are contained by more than three plane angles ; therefore the three solids LP , KR , and A V are equal ( XI . C ) to one another . For the same reason , the three ...
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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 |