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 16
Wherefore from the given point A a straight line AL has been drawn equal to the given ftraight line BC . Which was to be done . From the point A draw a the straight line AD equal to C ; and from the centre A , and at the difb . 3.
Wherefore from the given point A a straight line AL has been drawn equal to the given ftraight line BC . Which was to be done . From the point A draw a the straight line AD equal to C ; and from the centre A , and at the difb . 3.
Side 17
Wherefore the whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles , of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Wherefore the whole triangle ABC fhall coincide with the whole triangle DEF , and be equal to it ; and the other angles , of the one fhall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to ...
Side 33
I. angle DEF , and the other angles to the other angles , each to each , to which the equal fides are oppofite ; therefore the angle GCB is equal to the angle DFE , but DFE is , by the hypothefis , equal to the angle BCA ; wherefore ...
I. angle DEF , and the other angles to the other angles , each to each , to which the equal fides are oppofite ; therefore the angle GCB is equal to the angle DFE , but DFE is , by the hypothefis , equal to the angle BCA ; wherefore ...
Side 36
Wherefore , if a straight , & c . Q. E. D. PROP . XXX . THEOR . ST TRAIGHT lines which are parallel to the fame straight line are parallel to one another . Let AB , CD be each of them parallel to EF ; AB is alfo parallel to CD .
Wherefore , if a straight , & c . Q. E. D. PROP . XXX . THEOR . ST TRAIGHT lines which are parallel to the fame straight line are parallel to one another . Let AB , CD be each of them parallel to EF ; AB is alfo parallel to CD .
Side 42
Wherefore triangles , & c . Q. E. D. PROP . XXXVIII . THEOR . T ' RIANGLES upon equal bases , and between the fame parallels , are equal to one another . Let the triangles ABC , DEF be upon equal bases BC , EF , and between the fame ...
Wherefore triangles , & c . Q. E. D. PROP . XXXVIII . THEOR . T ' RIANGLES upon equal bases , and between the fame parallels , are equal to one another . Let the triangles ABC , DEF be upon equal bases BC , EF , and between the fame ...
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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 |