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 51
Side 41
1 .. they are upon the fame bafe BC , and between the fame parallels BC , EF ; and the triangle ABC is the half of the parallelogram a 31. I. ļ 1 Book I. £ 34. I. d 7. Ax . OF EUCLID . 41.
1 .. they are upon the fame bafe BC , and between the fame parallels BC , EF ; and the triangle ABC is the half of the parallelogram a 31. I. ļ 1 Book I. £ 34. I. d 7. Ax . OF EUCLID . 41.
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 55
IF F a straight line be divided into two equal parts , and alfo into two unequal parts ; the rectangle contained by the unequal parts , together with the fquare of the line between the points of fection , is equal to the fquare of half ...
IF F a straight line be divided into two equal parts , and alfo into two unequal parts ; the rectangle contained by the unequal parts , together with the fquare of the line between the points of fection , is equal to the fquare of half ...
Side 59
I Fa ftraight line be divided into two equal , and alfo into two unequal parts ; the fquares of the two unequal parts are together double of the fquare of half the line , and of the fquare of the line between the points of fection ...
I Fa ftraight line be divided into two equal , and alfo into two unequal parts ; the fquares of the two unequal parts are together double of the fquare of half the line , and of the fquare of the line between the points of fection ...
Side 60
... and join AG : Then , because AC is equal to CE , the angle CEA is equal to the angle EAC ; and the angle ACE is a right angle ; therefore each of the angles CEA , EAC is half a right angle f ; For the fame reason , each 5.
... and join AG : Then , because AC is equal to CE , the angle CEA is equal to the angle EAC ; and the angle ACE is a right angle ; therefore each of the angles CEA , EAC is half a right angle f ; For the fame reason , each 5.
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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 |