The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 98
Upon it , as a hinge or centre , turns the whole doctrine of proportion delivered in this Book , and applied in the sixth and subsequent Books . Volumes have been written to explain its meaning , and yet after all it is very simple .
Upon it , as a hinge or centre , turns the whole doctrine of proportion delivered in this Book , and applied in the sixth and subsequent Books . Volumes have been written to explain its meaning , and yet after all it is very simple .
Seite 155
The term solid , here applied to an angle , merely indicates that the angle described belongs to a solid figure , or one that has length , breadth , and thickness . A solid angle does not enclose space . The vertex of a solid angle is ...
The term solid , here applied to an angle , merely indicates that the angle described belongs to a solid figure , or one that has length , breadth , and thickness . A solid angle does not enclose space . The vertex of a solid angle is ...
Seite 172
Let the solid figure A G be applied to the solid figure K Q. The plane figure AC being applied to the plane figure K M , so that the straight line A B may coincide with KL , the figure AC must coincide with the figure K M , because they ...
Let the solid figure A G be applied to the solid figure K Q. The plane figure AC being applied to the plane figure K M , so that the straight line A B may coincide with KL , the figure AC must coincide with the figure K M , because they ...
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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