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 6
... the Figures is contained by no more than three plane Angles ; for in other cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Magnitude , and yet be unequal to one another , as fhall be made evident ...
... the Figures is contained by no more than three plane Angles ; for in other cafes , two folid Figures may be contained by fimilar Planes of the fame Number and Magnitude , and yet be unequal to one another , as fhall be made evident ...
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 16
I. Ax . D B A EB of the circle DEF , AE fhall be equal to AD ; but the straight line C is likewife equal to AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal to C , and from AB , the greater of ...
I. Ax . D B A EB of the circle DEF , AE fhall be equal to AD ; but the straight line C is likewife equal to AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is equal to C , and from AB , the greater of ...
Side 17
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
+ ¡ T A D ДА CE AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF , the bafe , BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite ...
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 |