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 94
From this it is manifeft , that if one angle of a triangle be equal to the other two , it is a right angle , because the angle adjacent to it is equal to the fame two ; and when the adjacent angles are equal , they are right angles .
From this it is manifeft , that if one angle of a triangle be equal to the other two , it is a right angle , because the angle adjacent to it is equal to the fame two ; and when the adjacent angles are equal , they are right angles .
Side 119
A greater magnitude is faid to be a multiple of a less , when the greater is measured by the lefs , that is , when the ... Ratio is a mutual relation of two magnitudes of the fame See N. ' kind to one another , in respect of quantity .
A greater magnitude is faid to be a multiple of a less , when the greater is measured by the lefs , that is , when the ... Ratio is a mutual relation of two magnitudes of the fame See N. ' kind to one another , in respect of quantity .
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 122
... when there is any number of magnitudes more than two , and as many others , fo that they are proportionals when taken two and two of ... AXIOM S. I. EQUIMULTIPLES of the fame , or of equal magnitusles , are equal to one another .
... when there is any number of magnitudes more than two , and as many others , fo that they are proportionals when taken two and two of ... AXIOM S. I. EQUIMULTIPLES of the fame , or of equal magnitusles , are equal to one another .
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 |