The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 174
Therefore : L K JA E H M IN F three planes of the solid LP are equal and similar to three planes of the solid K R ... 24 ) to them in the several solids , and none of their solid angles are contained by more than three plane angles ...
Therefore : L K JA E H M IN F three planes of the solid LP are equal and similar to three planes of the solid K R ... 24 ) to them in the several solids , and none of their solid angles are contained by more than three plane angles ...
Seite 183
For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the ... Because the solid A B is equal to the solid CD , CM is greater than A G. For , if not , the solids AB and CD are ...
For , if the bases EH and NP be equal , but the altitudes AG and CM not equal , neither is the solid A B equal to the ... Because the solid A B is equal to the solid CD , CM is greater than A G. For , if not , the solids AB and CD are ...
Seite 184
K B R M X Because the solid A B is equal to the solid CD , and the solid A B is equal ( XI . 29 or 30 ) to the solid BT , for they are upon the same baso FK , and of the same altitude ; and the solid CD is equal ( XI .
K B R M X Because the solid A B is equal to the solid CD , and the solid A B is equal ( XI . 29 or 30 ) to the solid BT , for they are upon the same baso FK , and of the same altitude ; and the solid CD is equal ( XI .
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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