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 96
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 87
UPON PON the fame ftraight line , and upon the fame See N. fide of it , there cannot be two fimilar fegments of circles , not coinciding with one another . If it be poffible , let the two fimilar fegments of circles , viz .
UPON PON the fame ftraight line , and upon the fame See N. fide of it , there cannot be two fimilar fegments of circles , not coinciding with one another . If it be poffible , let the two fimilar fegments of circles , viz .
Side 88
Wherefore fimilar fegments , & c . Q. E. D. a 23. 3 . See N. a 10. I. b II . I. c 6. I. d 9. 3 . € 23. I. £ 4. I. A SEGMENT of a circle being given , to describe the circle of which it is the fegment . PROP . XXV . PROB .
Wherefore fimilar fegments , & c . Q. E. D. a 23. 3 . See N. a 10. I. b II . I. c 6. I. d 9. 3 . € 23. I. £ 4. I. A SEGMENT of a circle being given , to describe the circle of which it is the fegment . PROP . XXV . PROB .
Side 89
3 . fegment EDF ; and they are upon equal straight lines BC , EF ; but fimilar fegments of circles upon equal , ftraight lines are equal to one another , therefore the fegment BAC is equal to 9 24. 3 . the segment EDF : But the whole ...
3 . fegment EDF ; and they are upon equal straight lines BC , EF ; but fimilar fegments of circles upon equal , ftraight lines are equal to one another , therefore the fegment BAC is equal to 9 24. 3 . the segment EDF : But the whole ...
Side 166
IN Na right angled triangle , if a perpendicular be drawn from the right angle to the base ; the triangles on each fide of it are fimilar to the whole triangle , and to one another . Let ABC be a right angled triangle , having the right ...
IN Na right angled triangle , if a perpendicular be drawn from the right angle to the base ; the triangles on each fide of it are fimilar to the whole triangle , and to one another . Let ABC be a right angled triangle , having the right ...
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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 |