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 Corr |
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Side 119
V. The first of four magnitudes is faid to have the fame ratio to the the fecond , which the third has to the fourth , when any equimultiples whatsoever of ...
V. The first of four magnitudes is faid to have the fame ratio to the the fecond , which the third has to the fourth , when any equimultiples whatsoever of ...
Side 120
N. B. When four magnitudes are proportionals , it is ' ufually expreffed by faying , the first is to the fecond , as the third to the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the ...
N. B. When four magnitudes are proportionals , it is ' ufually expreffed by faying , the first is to the fecond , as the third to the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the ...
Side 121
... and it See N. is inferred , that the first has the same ratio to the third , which the second has to the fourth ; or that the first is to the third , as the fecond to the fourth ; As is fhewn in the 16th prop . of this 5th book .
... and it See N. is inferred , that the first has the same ratio to the third , which the second has to the fourth ; or that the first is to the third , as the fecond to the fourth ; As is fhewn in the 16th prop . of this 5th book .
Side 122
Book V. fecond , as the third to its excefs above the fourth . Prop . E. book 5 . XVIII . Ex æquali ( fc . diftantia ) , or ex æquo , from equality of distance ; when there is any number of magnitudes more than two , and as many others ...
Book V. fecond , as the third to its excefs above the fourth . Prop . E. book 5 . XVIII . Ex æquali ( fc . diftantia ) , or ex æquo , from equality of distance ; when there is any number of magnitudes more than two , and as many others ...
Side 124
IF F the firft magnitude be the fame multiple of the fe cond that the third is of the fourth , and the fifth the fame multiple of the fecond that the fixth is of the fourth ; then shall the first together with the fifth be the fame ...
IF F the firft magnitude be the fame multiple of the fe cond that the third is of the fourth , and the fifth the fame multiple of the fecond that the fixth is of the fourth ; then shall the first together with the fifth be the fame ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | 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 Corr |
| Forfatter | Euclid |
| Utgiver | E. Wingrove, London, and J. Balfour, Edinburgh, 1793 |
| Original fra | Harvard University |
| Digitalisert | 17. apr 2019 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |