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 99
... proportionals , the first is said to have to the third the duplicate ratio of that which it has to the second . When three magnitudes are continual proportionals , the ratio of the first to the third is compounded of two equal ratios ...
... proportionals , the first is said to have to the third the duplicate ratio of that which it has to the second . When three magnitudes are continual proportionals , the ratio of the first to the third is compounded of two equal ratios ...
Seite 100
... proportionals . [ The memory need not be burdened with these explanations until the proposition be studied to which they refer . ] XIII . Permutando , or alternando , by permutation or alternately . This phrase is used when there are ...
... proportionals . [ The memory need not be burdened with these explanations until the proposition be studied to which they refer . ] XIII . Permutando , or alternando , by permutation or alternately . This phrase is used when there are ...
Seite 136
... proportionals . First , let the four straight lines A B , C D , E , and F be proportionals , viz . , A B to C D , as E to F. The rectangle contained by A B and F , is equal to the rectangle contained by CD and E. E- F From the points A ...
... proportionals . First , let the four straight lines A B , C D , E , and F be proportionals , viz . , A B to C D , as E to F. The rectangle contained by A B and F , is equal to the rectangle contained by CD and E. E- F From the points A ...
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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