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 82
... PROP . A. 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 ...
... PROP . A. 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 ...
Seite 100
... Prop . XVI . of this Fifth Book . XIV . Invertenão , by inversion ; when there are four proportionals , and it is inferred that the second is to the first as the fourth to the third.- Prop . B. Book V. XV . Componendo , by composition ...
... Prop . XVI . of this Fifth Book . XIV . Invertenão , by inversion ; when there are four proportionals , and it is inferred that the second is to the first as the fourth to the third.- Prop . B. Book V. XV . Componendo , by composition ...
Seite 134
... Props . XXXV . and XXXVI . , Book III . , and Prop . VIII . of this Book . The ingenious student will find it a useful exercise to try and find out these solutions . PROP . XIII . PROBLEM . To find a mean proportional between two given ...
... Props . XXXV . and XXXVI . , Book III . , and Prop . VIII . of this Book . The ingenious student will find it a useful exercise to try and find out these solutions . PROP . XIII . PROBLEM . To find a mean proportional between two given ...
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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 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 A B 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