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 13
Parallel straight lines , are fuch as are in the fame plane , and which , being produced ever so far both ways , do not meet . ! POSTULATES . I. LET it be granted that a ftraight line may be drawn from any one point any point . II .
Parallel straight lines , are fuch as are in the fame plane , and which , being produced ever so far both ways , do not meet . ! POSTULATES . I. LET it be granted that a ftraight line may be drawn from any one point any point . II .
Side 14
If a straight line meets two straight lines , fo as to make the " two interior angles on the fame fide of it taken together " less than two right angles , these straight lines being con" tinually produced , fhall at length meet upon ...
If a straight line meets two straight lines , fo as to make the " two interior angles on the fame fide of it taken together " less than two right angles , these straight lines being con" tinually produced , fhall at length meet upon ...
Side 15
... and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . upon it From the point A to B draw a the ftraight line AB ; and defcribe b the equilateral triangle DAB , and produce the ...
... and BC the given straight line ; it is required to draw from the point A a straight line equal to BC . upon it From the point A to B draw a the ftraight line AB ; and defcribe b the equilateral triangle DAB , and produce the ...
Side 17
Which was to be demonftrated . F Therefore a 10 Ax . PROP . V. THEOR . THE THE angles at the bafe of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe ...
Which was to be demonftrated . F Therefore a 10 Ax . PROP . V. THEOR . THE THE angles at the bafe of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the other fide of the bafe ...
Side 18
Book I , qual to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off a 3. 1.
Book I , qual to AC , and let the straight lines AB , AC be produced to D and E , the angle ABC fhall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater , cut off a 3. 1.
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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 |