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 88
... polygon ( III . 16 ) ; because the angles at these extremities made by the sides of the polygon are right angles ; and this circle will be inscribed in the polygon ( IV . Def . 3 ) . Corollary .-- The centre of the inscribed or ...
... polygon ( III . 16 ) ; because the angles at these extremities made by the sides of the polygon are right angles ; and this circle will be inscribed in the polygon ( IV . Def . 3 ) . Corollary .-- The centre of the inscribed or ...
Seite 140
... polygons have . And the polygon ABCDE has to the polygon F G H K L the duplicate ratio of that which the side A B has to the side F G. Join BE , E C , GL , and LH . Because the polygon ABCDE is similar to the polygon FGH KL , the E ...
... polygons have . And the polygon ABCDE has to the polygon F G H K L the duplicate ratio of that which the side A B has to the side F G. Join BE , E C , GL , and LH . Because the polygon ABCDE is similar to the polygon FGH KL , the E ...
Seite 141
... polygon ABCDE is to the polygon F G HKL . But the tri- angle ABE has to the triangle F G L the duplicate ratio of that which the side A B has to the homologous side F G ( VI . 19 ) . Therefore also the polygon ABCDE has to the polygon ...
... polygon ABCDE is to the polygon F G HKL . But the tri- angle ABE has to the triangle F G L the duplicate ratio of that which the side A B has to the homologous side F G ( VI . 19 ) . Therefore also the polygon ABCDE has to the polygon ...
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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