The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 98
... definition of the Fifth Book . 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 ...
... definition of the Fifth Book . 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 ...
Σελίδα 154
... definition simply signifies that the boundaries of solids are surfaces . III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight line meeting it in that plane . IV . A ...
... definition simply signifies that the boundaries of solids are surfaces . III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every straight line meeting it in that plane . IV . A ...
Σελίδα 155
... definition , on the ground that it is a theorem and not a definition . XI . Similar solid figures are such as have all their solid angles equal , each to each , and are contained by the same number of planes similarly situated . The ...
... definition , on the ground that it is a theorem and not a definition . XI . Similar solid figures are such as have all their solid angles equal , each to each , and are contained by the same number of planes similarly situated . The ...
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A B and CD A B C D A B is equal adjacent angles altitude angle ABC angle B A C base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore