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
... 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 ...
Σελίδα 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 ...
Σελίδα 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 AB may coincide with KL , the figure A C 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 AB may coincide with KL , the figure A C must coincide with the figure K M , because they are equal and similar ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
A B and CD A B C D A B is equal adjacent angles altitude angle ABC 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 A B 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