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 44
... rectangle contained by AC.CB , for GC is equal to CB . Therefore GE is also equal to the rectangle AC.CB. Wherefore A G and GE are equal to twice the rectangle AC.CB. Also HF and CK are the squares of A C and C B. Therefore the four ...
... rectangle contained by AC.CB , for GC is equal to CB . Therefore GE is also equal to the rectangle AC.CB. Wherefore A G and GE are equal to twice the rectangle AC.CB. Also HF and CK are the squares of A C and C B. Therefore the four ...
Seite 45
... rectangle CB.BD , or to the rectangle A C.DB ; for , A C is equal ( Const . ) to C B. To each of these equals , add the rectangle CD.D B. Therefore twice the rectangle CD.D B , and the square of D B are together equal to the rectangles ...
... rectangle CB.BD , or to the rectangle A C.DB ; for , A C is equal ( Const . ) to C B. To each of these equals , add the rectangle CD.D B. Therefore twice the rectangle CD.D B , and the square of D B are together equal to the rectangles ...
Seite 153
... rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle . Let A B C be a triangle , and A D the perpendicular drawn from the ...
... rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle . Let A B C be a triangle , and A D the perpendicular drawn from 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