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 6
Equal and " fimilar folid Figures are thofe which are contained by fimilar " Planes of the fame Number and Magnitude . " Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be ...
Equal and " fimilar folid Figures are thofe which are contained by fimilar " Planes of the fame Number and Magnitude . " Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be ...
Side 119
iL P THE ELEMENT S • OF E UC LI L I BOOK V. DEFINITION S. D. 1 I. LESS magnitude is faid to be a part of a greater magnitude , when the less measures the greater , that is , ' when the less is contained a certain number of times exactly ...
iL P THE ELEMENT S • OF E UC LI L I BOOK V. DEFINITION S. D. 1 I. LESS magnitude is faid to be a part of a greater magnitude , when the less measures the greater , that is , ' when the less is contained a certain number of times exactly ...
Side 120
N. B. When four magnitudes are proportionals , it is ' ufually expreffed by faying , the first is to the fecond , as the third ... then the first is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ...
N. B. When four magnitudes are proportionals , it is ' ufually expreffed by faying , the first is to the fecond , as the third ... then the first is faid to have to the fecond a greater ratio than the third magnitude has to the fourth ...
Side 122
Ex æquali ( fc . diftantia ) , or ex æquo , from equality of distance ; when there is any number of magnitudes more ... 1 Ex æquali , from equality ; this term is used fimply by itself , when the first magnitude is to the fecond of the ...
Ex æquali ( fc . diftantia ) , or ex æquo , from equality of distance ; when there is any number of magnitudes more ... 1 Ex æquali , from equality ; this term is used fimply by itself , when the first magnitude is to the fecond of the ...
Side 123
10 RO la A multiple of a greater magnitude is greater than the fame multiple of a lefs . whe rit LIC l II . Those magnitudes of which the fame , or equal magnitudes , are equimultiples , are equal to one another . III . IV .
10 RO la A multiple of a greater magnitude is greater than the fame multiple of a lefs . whe rit LIC l II . Those magnitudes of which the fame , or equal magnitudes , are equimultiples , are equal to one another . III . IV .
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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 |