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 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 ... angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are ...
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 ... angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are ...
Side 21
1 BC is equal to EF ; therefore BC coinciding with EF , BA and Book 1 . ... bifect a given rectilineal angle , that is , to divide it into two equal angles . b I. I. Let BAC be the given rectilineal angle , it is required to bifect it .
1 BC is equal to EF ; therefore BC coinciding with EF , BA and Book 1 . ... bifect a given rectilineal angle , that is , to divide it into two equal angles . b I. I. Let BAC be the given rectilineal angle , it is required to bifect it .
Side 22
Book I. Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; therefore the bafe AD is equal to the 4.
Book I. Because AC is equal to CB , and CD common to the two triangles ACD , BCD ; the two fides AC , CD are equal to BC , CD , each to each ; and the angle ACD is equal to the angle BCD ; therefore the bafe AD is equal to the 4.
Side 24
Book I. Let the ftraight line AB make with CD , upon one fide of Wit , the angles CBA , ABD ; these are either two right angles , or are together equal to two right angles . For if the angle CBA be equal to ABD , each of them is a ...
Book I. Let the ftraight line AB make with CD , upon one fide of Wit , the angles CBA , ABD ; these are either two right angles , or are together equal to two right angles . For if the angle CBA be equal to ABD , each of them is 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 |