The Elements of Euclid: Viz the First Six Books, Together with the Eleventh and Twelfth, the Errors by which Theon Or Others Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored : Also the Book of Euclid's Data, in Like Manner CorrectedP. Wogan, 1803 - 520 sider |
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Resultat 1-5 av 30
Side 121
... second to the fourth : As is fhewn in the 16th prop . of this 5th book . XIV . Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the second is to the firft , as the fourth to the third . Prop . B ...
... second to the fourth : As is fhewn in the 16th prop . of this 5th book . XIV . Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the second is to the firft , as the fourth to the third . Prop . B ...
Side 122
... second rank , and so on in a cross order : And the inference is as in the 18th definition , It is demonftrated in the 23d Prop . of Book 5 . A X .. I I Q I. M S. Etudes , are equal to one another . QUIMULTIPLES of the fame , or of equal ...
... second rank , and so on in a cross order : And the inference is as in the 18th definition , It is demonftrated in the 23d Prop . of Book 5 . A X .. I I Q I. M S. Etudes , are equal to one another . QUIMULTIPLES of the fame , or of equal ...
Side 125
... second , which third there be taken equimultiples , these shall be equi- multiples , the one of the fecond , and the other of the fourth . Let A the firft , be the fame nultiple of B the fecond , that C the third is of D the fourth ...
... second , which third there be taken equimultiples , these shall be equi- multiples , the one of the fecond , and the other of the fourth . Let A the firft , be the fame nultiple of B the fecond , that C the third is of D the fourth ...
Side 129
... second ; wherefore alfo the double of the third is greater than the double of the fourth ; therefore the third is greater than the fourth : In like manner , if the firft be equal to the fécond , or less than it , the third can be proved ...
... second ; wherefore alfo the double of the third is greater than the double of the fourth ; therefore the third is greater than the fourth : In like manner , if the firft be equal to the fécond , or less than it , the third can be proved ...
Side 130
... second , or the fame part of it , that the third is of the fourth , the firft is to the fecond , as the third is to the fourth . Let the firft A be the fame multiple of B the fecond , that C the third is of the fourth D : A is to B as C ...
... second , or the fame part of it , that the third is of the fourth , the firft is to the fecond , as the third is to the fourth . Let the firft A be the fame multiple of B the fecond , that C the third is of the fourth D : A is to B as C ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides fimilar fince firft firſt folid angle fome fore fphere fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore