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 49
... double of the square of CD . But it has been proved that the square of AE is double of the square of A C. Therefore the squares of A E and EF are double of the squares of AC and CD . But the square of A F is equal ( I. 47 ) to the ...
... double of the square of CD . But it has been proved that the square of AE is double of the square of A C. Therefore the squares of A E and EF are double of the squares of AC and CD . But the square of A F is equal ( I. 47 ) to the ...
Seite 50
... 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 AC . Again , because G F is equal to E F , the square of G F is equal to the square ...
... 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 AC . Again , because G F is equal to E F , the square of G F is equal to the square ...
Seite 69
... double of the angle at the circumference standing upon the same arc , that is , upon the same part of the cir- cumference . Let A B C be a circle , BEC an angle at the centre , and BAC an angle at the circumference , standing upon the ...
... double of the angle at the circumference standing upon the same arc , that is , upon the same part of the cir- cumference . Let A B C be a circle , BEC an angle at the centre , and BAC an angle at the circumference , standing upon the ...
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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