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 16
I F two triangles have two fides of the one equal to two fides of the other , each to each ; and have likewife : the angles contained by those fides equal to one another ; they fhall likewise have their bases , or third fides , equal ...
I F two triangles have two fides of the one equal to two fides of the other , each to each ; and have likewife : the angles contained by those fides equal to one another ; they fhall likewise have their bases , or third fides , equal ...
Side 28
NY two fides of a than the third fide . Α ' triangle are together greater Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than ...
NY two fides of a than the third fide . Α ' triangle are together greater Let ABC be a triangle ; any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC ; and AB , BC greater than ...
Side 29
PRO B. Tt ' O make a triangle of which the fides fhall be equal See N. to three given straight lines , but any two whatever of these must be greater than the third a . Let A , B , C be the three given ftraight lines , of which any two ...
PRO B. Tt ' O make a triangle of which the fides fhall be equal See N. to three given straight lines , but any two whatever of these must be greater than the third a . Let A , B , C be the three given ftraight lines , of which any two ...
Side 32
AB to DE , and AC to DF ; and the third angle BAC to the third angle EDF . B E F For , if AB be not equal to DE , one of them must be the greater . Let AB be the greater of the two , and make BG equal to DE , and join GC ; therefore ...
AB to DE , and AC to DF ; and the third angle BAC to the third angle EDF . B E F For , if AB be not equal to DE , one of them must be the greater . Let AB be the greater of the two , and make BG equal to DE , and join GC ; therefore ...
Side 33
AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to EF ; and also the D AA HC E B third angle BAC to the third EDF . For , if BC be not equal to EF , let BC be the greater of them , and make BH equal ...
AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to EF ; and also the D AA HC E B third angle BAC to the third EDF . For , if BC be not equal to EF , let BC be the greater of them , and make BH equal ...
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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 |