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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Side 119
... fourth , when any equimultiples whatfoever of the first and third being taken , and any equimultiples whatfoever of the fecond and fourth ; if the multiple of the first be less than that of the fecond , the multiple of the third is alfo ...
... fourth , when any equimultiples whatfoever of the first and third being taken , and any equimultiples whatfoever of the fecond and fourth ; if the multiple of the first be less than that of the fecond , the multiple of the third is alfo ...
Side 120
... fourth . See N. r N. B. VI . Magnitudes which have the fame ratio are called proportionals , When four magnitudes are proportionals , it is ufually expreffed by faying the firft is to the fecond , as the third to the fourth . ' VII ...
... fourth . See N. r N. B. VI . Magnitudes which have the fame ratio are called proportionals , When four magnitudes are proportionals , it is ufually expreffed by faying the firft is to the fecond , as the third to the fourth . ' VII ...
Side 121
... fourth ; or that the first is to the third , as the 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 ...
... fourth ; or that the first is to the third , as the 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 ...
Side 122
... fourth . Prop . E. book 5 . XVIII . Ex æquali ( fc . diftandia ) , or ex æquo , from equality of dif- tance ; when there is any number of magnitudes more than two , and as many others , so that they are proportionals when taken two and ...
... fourth . Prop . E. book 5 . XVIII . Ex æquali ( fc . diftandia ) , or ex æquo , from equality of dif- tance ; when there is any number of magnitudes more than two , and as many others , so that they are proportionals when taken two and ...
Side 124
... fourth . A Let AB the first , be the fame multiple of C the fecond , that DE the third is of F the fourth ; and BG the fifth , the fame multiple of C the fecond , that EH the fixth is of F the fourth ; Then is AG the firft , together ...
... fourth . A Let AB the first , be the fame multiple of C the fecond , that DE the third is of F the fourth ; and BG the fifth , the fame multiple of C the fecond , that EH the fixth is of F the fourth ; Then is AG the firft , together ...
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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