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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Αποτελέσματα 1 - 3 από τα 48.
Σελίδα 44
... demonstration , it is manifest , that the parallel- ograms about the diameter of a square , are likewise squares . Corollary 2. - The square of any straight line is equal to four times the square of half the straight line . The ...
... demonstration , it is manifest , that the parallel- ograms about the diameter of a square , are likewise squares . Corollary 2. - The square of any straight line is equal to four times the square of half the straight line . The ...
Σελίδα 51
... demonstration . This removes the hiatus in the demonstration of Euclid , which does not show that AH and A B , the sides of the squares FH and A D , must coincide . It creates another , however , for it is not shown by Dr. Thomson that ...
... demonstration . This removes the hiatus in the demonstration of Euclid , which does not show that AH and A B , the sides of the squares FH and A D , must coincide . It creates another , however , for it is not shown by Dr. Thomson that ...
Σελίδα 62
... demonstration . The following demonstration , which is free from this defect , is generally adopted instead of it : Because , from any point which is not the centre , only two equal straight lines ( III . 7 ) can be drawn to the ...
... demonstration . The following demonstration , which is free from this defect , is generally adopted instead of it : Because , from any point which is not the centre , only two equal straight lines ( III . 7 ) can be drawn to 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