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 41
... gnomon . " Thus the parallelogram H G together with the complements A F , FC , is a gnomon , which is more briefly expressed by the letters AG K , or EHC , at the opposite angles of the parallelograms which make up the gnomon . " In ...
... gnomon . " Thus the parallelogram H G together with the complements A F , FC , is a gnomon , which is more briefly expressed by the letters AG K , or EHC , at the opposite angles of the parallelograms which make up the gnomon . " In ...
Seite 46
... gnomon AKF and the square CK . Therefore the gnomon AK F and the square CK are together double of A K. But twice the rectangle A B.B C , is double of A K , for BK is equal ( II . 4 Cor . ) to BC . Therefore the gnomon A KF and the ...
... gnomon AKF and the square CK . Therefore the gnomon AK F and the square CK are together double of A K. But twice the rectangle A B.B C , is double of A K , for BK is equal ( II . 4 Cor . ) to BC . Therefore the gnomon A KF and the ...
Seite 47
... gnomon A O H is four times the rectangle AK ; that is , four times the rectangle A B. B C , because B K is equal to BC . To these equals , add the square of A C , or its equal the square XH ( I. 34 ) . Therefore four times the rectangle ...
... gnomon A O H is four times the rectangle AK ; that is , four times the rectangle A B. B C , because B K is equal to BC . To these equals , add the square of A C , or its equal the square XH ( I. 34 ) . Therefore four times the rectangle ...
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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 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