The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 σελίδες |
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Σελίδα 12
... proposition without the aid of Prop . VII . , by applying the base of the one triangle to the base of the other , and inverting the former , so that they shall correspond exactly to the terms of the proposition contained in the exercise ...
... proposition without the aid of Prop . VII . , by applying the base of the one triangle to the base of the other , and inverting the former , so that they shall correspond exactly to the terms of the proposition contained in the exercise ...
Σελίδα 26
... Proposition of this book is unnecessary , if the 11th and 12th Propositions be employed . In the construction and demonstration , either of the cases of the 28th Proposition may be used instead of the 27th Proposition . Exercise . Of ...
... Proposition of this book is unnecessary , if the 11th and 12th Propositions be employed . In the construction and demonstration , either of the cases of the 28th Proposition may be used instead of the 27th Proposition . Exercise . Of ...
Σελίδα 119
... proposition is usually cited by the words " ex æquali in proportione per- turbata ; or " ex æquo perturbato , " that ... proposition , the excess of the first and fifth is to the second , as the excess of the third and sixth is to the ...
... proposition is usually cited by the words " ex æquali in proportione per- turbata ; or " ex æquo perturbato , " that ... proposition , the excess of the first and fifth is to the second , as the excess of the third and sixth is to the ...
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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