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 24
I5 F , at a point in a straight line , two other ftraight lines , upon the oppofite fides of it , make the adjacent angles together equal to two right angles , thefe two ftraight lines fhall be in one and the fame ftraight line .
I5 F , at a point in a straight line , two other ftraight lines , upon the oppofite fides of it , make the adjacent angles together equal to two right angles , thefe two ftraight lines fhall be in one and the fame ftraight line .
Side 25
in the fame straight line with it ; therefore , because the straight Book I. line AB makes angles with the straight line CBE , upon one fide of it , the angles ABC , ABE are together equal a to two right a 13.
in the fame straight line with it ; therefore , because the straight Book I. line AB makes angles with the straight line CBE , upon one fide of it , the angles ABC , ABE are together equal a to two right a 13.
Side 34
Let the ftraight line EF , which falls upon the two ftraight lines AB , CD , make the exterior angle EGB equal to the interior and A oppofite angle GHD upon the fame fide ; or make the interior angles on the fame fide FGH , C GHD ...
Let the ftraight line EF , which falls upon the two ftraight lines AB , CD , make the exterior angle EGB equal to the interior and A oppofite angle GHD upon the fame fide ; or make the interior angles on the fame fide FGH , C GHD ...
Side 35
Q E. D. Let the straight line EF fall upon the parallel ftraight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ; and the exterior angle EGB is equal to the interior and oppofite , upon the fame fide , GHD ; and ...
Q E. D. Let the straight line EF fall upon the parallel ftraight lines AB , CD ; the alternate angles AGH , GHD are equal to one another ; and the exterior angle EGB is equal to the interior and oppofite , upon the fame fide , GHD ; and ...
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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 |