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 5
... and those not of small moment , especially in the Fifth and Eleventh Books of the Elements , which this Editor has greatly vitiated ; for inftance , by fubftituting a fhorter , but infufficient Demonstration of the 18th Prop . of ...
... and those not of small moment , especially in the Fifth and Eleventh Books of the Elements , which this Editor has greatly vitiated ; for inftance , by fubftituting a fhorter , but infufficient Demonstration of the 18th Prop . of ...
Side 6
In like manner , in the Demonstration of the 26th prop . of the 11th Book , it is taken for granted , that thofe folid Angles are equal to one another which are contained by plain Angles of the fame Number , and Magnitude , placed in ...
In like manner , in the Demonstration of the 26th prop . of the 11th Book , it is taken for granted , that thofe folid Angles are equal to one another which are contained by plain Angles of the fame Number , and Magnitude , placed in ...
Side 7
... and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of Book 11th ; befides , the Tranflation is much amended by the friendly affiftance of a learned Gentleman , To which are also ...
... and a more general Demonstration is given , instead of that which was in the Note on the 10th Definition of Book 11th ; befides , the Tranflation is much amended by the friendly affiftance of a learned Gentleman , To which are also ...
Side 22
By help of this problem , it may be demonstrated , that two straight lines cannot have a common fegment . If it be poffible , let the two ftraight lines the segment AB common to both of them . draw BE at right angles to AB ; and because ...
By help of this problem , it may be demonstrated , that two straight lines cannot have a common fegment . If it be poffible , let the two ftraight lines the segment AB common to both of them . draw BE at right angles to AB ; and because ...
Side 24
... EBD have been demonstrated to be equal to the fame three angles ; and things are equal to the fame are equal d to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD are two right angles ...
... EBD have been demonstrated to be equal to the fame three angles ; and things are equal to the fame are equal d to one another ; therefore the angles CBE , EBD are equal to the angles DBA , ABC ; but CBE , EBD are two right angles ...
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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 |