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 34
F a fraight line falling upon two other ftraight lines makes the alternate angles equal to one another , thefe two ftraight lines fhall be parallel . IF Let the ftraight line EF , which falls upon the two ftraight lines AB , CD make the ...
F a fraight line falling upon two other ftraight lines makes the alternate angles equal to one another , thefe two ftraight lines fhall be parallel . IF Let the ftraight line EF , which falls upon the two ftraight lines AB , CD make the ...
Side 35
I. angle EGB equal a to the angle AGH , the angle AGH is equal to the angle GHD ; and they are the alternate angles ; therefore AB is parallel b to CD . Again , because the angles BGH , GHD are equal to two right angles ; and that AGH ...
I. angle EGB equal a to the angle AGH , the angle AGH is equal to the angle GHD ; and they are the alternate angles ; therefore AB is parallel b to CD . Again , because the angles BGH , GHD are equal to two right angles ; and that AGH ...
Side 36
ST TRAIGHT lines which are parallel to the fame straight line are parallel to one another . Let AB , CD be each of them parallel to EF ; AB is alfo parallel to CD . Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the ...
ST TRAIGHT lines which are parallel to the fame straight line are parallel to one another . Let AB , CD be each of them parallel to EF ; AB is alfo parallel to CD . Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the ...
Side 37
EAF is drawn through the given point A parallel to the given Book I ftraight line BC . Which was to be done . PROP . XXXII . THEOR . IF a fide of any triangle be produced , the exterior angle is equal to the two interior and oppofite ...
EAF is drawn through the given point A parallel to the given Book I ftraight line BC . Which was to be done . PROP . XXXII . THEOR . IF a fide of any triangle be produced , the exterior angle is equal to the two interior and oppofite ...
Side 38
TH HE ftraight lines which join the extremities of two equal and parallel ftraight lines , towards the fame parts , are alfo themfelves equal and parallel . THEOR . Let AB , CD be equal and pa- A rallel ftraight lines , and joined ...
TH HE ftraight lines which join the extremities of two equal and parallel ftraight lines , towards the fame parts , are alfo themfelves equal and parallel . THEOR . Let AB , CD be equal and pa- A rallel ftraight lines , and joined ...
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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 |