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 136
Or, The First Six Books, with the Eleventh and Twelfth of Euclid Euclid Robert Wallace. Because C A is to A D , as E A is to A B ... straight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle contained ...
Or, The First Six Books, with the Eleventh and Twelfth of Euclid Euclid Robert Wallace. Because C A is to A D , as E A is to A B ... straight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle contained ...
Seite 159
... the plane of A B and CD . In like manner , it may be proved , that FE makes right angles with every other straight line meeting it in that plane . But a straight line is at right angles to a plane when it makes right angles with every ...
... the plane of A B and CD . In like manner , it may be proved , that FE makes right angles with every other straight line meeting it in that plane . But a straight line is at right angles to a plane when it makes right angles with every ...
Seite 160
Or, The First Six Books, with the Eleventh and Twelfth of Euclid Euclid Robert Wallace. PROP . VI . THEOREM . If two straight lines be at right angles to the same plane , they are parallel . Let the straight lines A B and C D be at right ...
Or, The First Six Books, with the Eleventh and Twelfth of Euclid Euclid Robert Wallace. PROP . VI . THEOREM . If two straight lines be at right angles to the same plane , they are parallel . Let the straight lines A B and C D be at right ...
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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