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
... have the fame ratio to the the fecond , which the third has to the fourth , when any equimultiples whatsoever of ... and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be lefs than that of the ...
... have the fame ratio to the the fecond , which the third has to the fourth , when any equimultiples whatsoever of ... and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be lefs than that of the ...
Side 120
When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater than the multiple of the fourth ; then the ...
When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater than the multiple of the fourth ; then the ...
Side 122
AXIOM S. I. EQUIMULTIPLES of the fame , or of equal magnitusles , are equal to one another . II . Thofe 4 Prop . lib . 2. Archimedis de fphæra et cylindro .ち Wave ܬܐܝ ܀ Pr 13 . 10 RO la A multiple of a 222 THE ELEMENTS.
AXIOM S. I. EQUIMULTIPLES of the fame , or of equal magnitusles , are equal to one another . II . Thofe 4 Prop . lib . 2. Archimedis de fphæra et cylindro .ち Wave ܬܐܝ ܀ Pr 13 . 10 RO la A multiple of a 222 THE ELEMENTS.
Side 123
Those magnitudes of which the fame , or equal magnitudes , are equimultiples , are equal to one another . III . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude ...
Those magnitudes of which the fame , or equal magnitudes , are equimultiples , are equal to one another . III . IV . That magnitude of which a multiple is greater than the same multiple of another , is greater than that other magnitude ...
Side 125
IT the first be the fame multiple of the fecond , which the third is of the fourth ; and if of the first and third there be taken equimultiples , these fhall be equimultiples , the one of the fecond , and the other of the fourth .
IT the first be the fame multiple of the fecond , which the third is of the fourth ; and if of the first and third there be taken equimultiples , these fhall be equimultiples , the one of the fecond , and the other of the fourth .
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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 |