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 87
Side 39
THE HE oppofite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them into two equal parts , N. B. A parallelogram is a four - fided figure , of which the oppofite fides are ...
THE HE oppofite fides and angles of parallelograms are equal to one another , and the diameter bifects them , that is , divides them into two equal parts , N. B. A parallelogram is a four - fided figure , of which the oppofite fides are ...
Side 40
Ax . See the 2d Let the parallelograms ABCD , EBCF be upon the fame bafe and 3d fi- BC , and between the fame parallels AF , BC ; the parallelogram ABCD fhall be equal to the parallelogram EBCF .
Ax . See the 2d Let the parallelograms ABCD , EBCF be upon the fame bafe and 3d fi- BC , and between the fame parallels AF , BC ; the parallelogram ABCD fhall be equal to the parallelogram EBCF .
Side 41
DE Let ABCD , EFGH be parallelograms upon e - A Α qual bafes BC , FG , and between the fame parallels AH , BG ; the parallelogram ABCD is equal to EFGH . H TR RIANGLES upon the fame base , and between the fame parallels , are equal to ...
DE Let ABCD , EFGH be parallelograms upon e - A Α qual bafes BC , FG , and between the fame parallels AH , BG ; the parallelogram ABCD is equal to EFGH . H TR RIANGLES upon the fame base , and between the fame parallels , are equal to ...
Side 42
I gram EBCA , because the diameter AB befects cit ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to ...
I gram EBCA , because the diameter AB befects cit ; and the triangle DBC is the half of the parallelogram DBCF , because the diameter DC bifects it : But the halves of equal things are equal d ; therefore the triangle ABC is equal to ...
Side 43
IF [ F a parallelogram and triangle be upon the fame bafe , and between the fame parallels ; the parallelogram fhall be double of the triangle . Let a 31. I , b 38. Ii Book I. a 37. I. b 34. I. a 10. OF EUCLID . 43.
IF [ F a parallelogram and triangle be upon the fame bafe , and between the fame parallels ; the parallelogram fhall be double of the triangle . Let a 31. I , b 38. Ii Book I. a 37. I. b 34. I. a 10. OF EUCLID . 43.
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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 |