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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Resultat 1-5 av 100
Side 16
Book I. Because the point B is the centre of the circle CGH , BC is equal to BG ; and because D is the centre of the circle GKL , 2 e . 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal ; £ . 3.
Book I. Because the point B is the centre of the circle CGH , BC is equal to BG ; and because D is the centre of the circle GKL , 2 e . 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal ; £ . 3.
Side 17
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
Side 18
Book I , qual to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off a 3. 1.
Book I , qual to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off a 3. 1.
Side 19
Let ABC be a triangle having the angle ABC equal to the Book I angle ACB ; the fide AB is alfo equal to the fide AC . A For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut a ...
Let ABC be a triangle having the angle ABC equal to the Book I angle ACB ; the fide AB is alfo equal to the fide AC . A For , if AB be not equal to AC , one of them is greater than the other : Let AB be the greater , and from it cut a ...
Side 20
E But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other fide of the base CD are a 5. i . equal a ...
E But if one of the vertices , as D , be within the other triangle ACB ; produce AC , AD to E , F ; therefore because AC is equal to AD in the triangle ACD , the angles ECD , FDC upon the other fide of the base CD are a 5. i . equal a ...
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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 |