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
Magnitudes are faid to have a ratio to one another , when the lefs can be multiplied fo as to exceed the other . 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 ...
Magnitudes are faid to have a ratio to one another , when the lefs can be multiplied fo as to exceed the other . 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 ...
Side 120
Book V. See N. 4 . or , if the multiple of the first be greater than that of the fe cond , the multiple of the third is alfo greater than that of the fourth , VI . Magnitudes which have the fame ratio are called proportionals .
Book V. See N. 4 . or , if the multiple of the first be greater than that of the fe cond , the multiple of the third is alfo greater than that of the fourth , VI . Magnitudes which have the fame ratio are called proportionals .
Side 121
Permutando , or alternando , by permutation , or alternately ; this word is used when there are four proportionals , and it See N. is inferred , that the first has the same ratio to the third , which the second has to the fourth ; or ...
Permutando , or alternando , by permutation , or alternately ; this word is used when there are four proportionals , and it See N. is inferred , that the first has the same ratio to the third , which the second has to the fourth ; or ...
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 ...
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 |