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 11
XX . Rectilineal figures are thofe which are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII , Quadrilateral , by four ftraight lines . XXIII . Multilateral figures , or polygons ...
XX . Rectilineal figures are thofe which are contained by straight lines . XXI . Trilateral figures , or triangles , by three straight lines . XXII , Quadrilateral , by four ftraight lines . XXIII . Multilateral figures , or polygons ...
Side 12
Of four fided figures , a square is that which has all its fides equal , and all its angles right angles , XXXI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXXII .
Of four fided figures , a square is that which has all its fides equal , and all its angles right angles , XXXI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXXII .
Side 13
All other four fided figures befides thefe , are called Trapeziums . XXXV . Parallel straight lines , are fuch as are in the fame plane , and which , being produced ever so far both ways , do not meet . ! POSTULATES .
All other four fided figures befides thefe , are called Trapeziums . XXXV . Parallel straight lines , are fuch as are in the fame plane , and which , being produced ever so far both ways , do not meet . ! POSTULATES .
Side 25
From this it is manifeft , that , if two ftraight lines cut one another , the angles they make at the point where they cut , are together equal to four right angles . COR . 2. And confequently that all the angles made by any number of ...
From this it is manifeft , that , if two ftraight lines cut one another , the angles they make at the point where they cut , are together equal to four right angles . COR . 2. And confequently that all the angles made by any number of ...
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 ...
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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 |