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
Peter Ramus afcribes the Propofitions , as well as their Demonftrations , to Theon ; others think the Propofitions to be Euclid's , but that the Demonftrations are Theon's ; and others maintain that all the Propofitions and their ...
Peter Ramus afcribes the Propofitions , as well as their Demonftrations , to Theon ; others think the Propofitions to be Euclid's , but that the Demonftrations are Theon's ; and others maintain that all the Propofitions and their ...
Side 6
Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be demonftrated , and not affumed ; and , therefore , though this were a true Propofition , it ought to have been demonftrated .
Now this Propofition is a Theorem , not a Definition ; because the equality of Figures of any kind must be demonftrated , and not affumed ; and , therefore , though this were a true Propofition , it ought to have been demonftrated .
Side 7
In this Ninth Edition , Ptolemy's Propofition concerning a Property of quadrilateral Figures in a Circle is added at the End of the fixth Book . Alfo the Note on the 29th Prop .
In this Ninth Edition , Ptolemy's Propofition concerning a Property of quadrilateral Figures in a Circle is added at the End of the fixth Book . Alfo the Note on the 29th Prop .
Side 37
I. All the interior angles of any rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has fides . E D a 31. 1 . the b 29. I. Book 1. the preceding propofition , all the angles of ...
I. All the interior angles of any rectilineal figure , together with four right angles , are equal to twice as many right angles as the figure has fides . E D a 31. 1 . the b 29. I. Book 1. the preceding propofition , all the angles of ...
Side 38
Book 1. the preceding propofition , all the angles of these triangles are e qual to twice as many right angles as there are triangles , that is , as there are fides of the figure ; and the fame angles are equal to the angles of the ...
Book 1. the preceding propofition , all the angles of these triangles are e qual to twice as many right angles as there are triangles , that is , as there are fides of the figure ; and the fame angles are equal to the angles of the ...
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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 |