The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 98
... applied in the sixth and subsequent Books . Volumes have been written to explain its meaning , and yet after all it is very simple . It is plain in the first place , that of any four magnitudes such as are spoken of in the definition ...
... applied in the sixth and subsequent Books . Volumes have been written to explain its meaning , and yet after all it is very simple . It is plain in the first place , that of any four magnitudes such as are spoken of in the definition ...
Seite 155
... 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 point where all its ...
... 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 point where all its ...
Seite 172
... 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 are equal and similar ...
... 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 are equal and similar ...
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Häufige Begriffe und Wortgruppen
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