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 40
... THEOREM . - In any right angled triangle , the squares A F and A K , described on the two sides which contain the right angle B A C , may be so divided by straight lines , that the parts may be applied to the square B E described upon ...
... THEOREM . - In any right angled triangle , the squares A F and A K , described on the two sides which contain the right angle B A C , may be so divided by straight lines , that the parts may be applied to the square B E described upon ...
Seite 82
... THEOREM .-- If any chord of a circle be produced , till the part produced be equal to the radius of the circle ; and , if from the outward extremity of this secant , another secant be drawn through the centre of the circle ; they will ...
... THEOREM .-- If any chord of a circle be produced , till the part produced be equal to the radius of the circle ; and , if from the outward extremity of this secant , another secant be drawn through the centre of the circle ; they will ...
Seite 112
... THEOREM . Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz . , A G ...
... THEOREM . Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz . , A G ...
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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