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- turbatâ ; " or " ex æquo perturbato ... proposition , the excess of the first and fifth is to the second , as the excess of the third and sixth is to the fourth ...
... proposition is usually cited by the words " ex æquali in proportione per- turbatâ ; " or " ex æquo perturbato ... proposition , the excess of the first and fifth is to the second , as the excess of the third and sixth is to the fourth ...
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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