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 46
... square of CB is equal ( II . 5 ) to the square of CD . And it has been proved that A D is equal to N B. Therefore the rectangle A D.D B , and the square of CB is equal to the square of CD . PROP . VII . THEOREM . If a straight line be ...
... square of CB is equal ( II . 5 ) to the square of CD . And it has been proved that A D is equal to N B. Therefore the rectangle A D.D B , and the square of CB is equal to the square of CD . PROP . VII . THEOREM . If a straight line be ...
Seite 48
... square of CD is equal ( II . 4 Cor . 2 ) to four times the square of CB ; and twice the rectangle AC . C D is equal ( II . Ax . 2 ) to four times the rectangle A C. C B. Therefore , adding these equals , the square of C D and twice the ...
... square of CD is equal ( II . 4 Cor . 2 ) to four times the square of CB ; and twice the rectangle AC . C D is equal ( II . Ax . 2 ) to four times the rectangle A C. C B. Therefore , adding these equals , the square of C D and twice the ...
Seite 50
... square of E C is equal to the square of CA. Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square of E A is double of the square of ...
... square of E C is equal to the square of CA. Therefore the squares of EC and CA are double of the square of CA. But the square of E A is equal ( I. 47 ) to the squares of EC and CA. Therefore the square of E A is double of the square of ...
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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