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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
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Resultados 1-5 de 99
Página 9
... meet together , but are not in the same See N. " direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . N B. Book I. A ! D ...
... meet together , but are not in the same See N. " direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the same straight line . N B. Book I. A ! D ...
Página 10
... meet one another , is put between the other two letters , and one of thefe two is fome- where upon one of those straight lines , and the other upon the other line : Thus the angle which is contained by the ' ftraight lines AB , CB , is ...
... meet one another , is put between the other two letters , and one of thefe two is fome- where upon one of those straight lines , and the other upon the other line : Thus the angle which is contained by the ' ftraight lines AB , CB , is ...
Página 14
... 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 that fide on which ...
... 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 that fide on which ...
Página 34
... meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight lines A E B G F D which meet neither way , though produced ever so far , are pa b 35. Def . rallel b to one another ...
... meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight lines A E B G F D which meet neither way , though produced ever so far , are pa b 35. Def . rallel b to one another ...
Página 35
... meet together if continually produced ; therefore 12. ax , the ftraight lines AB , CD , if produced far enough , fhall meet ; notes on but they never meet , fince they are parallel by the hypothefis ; this propo- therefore the angle AGH ...
... meet together if continually produced ; therefore 12. ax , the ftraight lines AB , CD , if produced far enough , fhall meet ; notes on but they never meet , fince they are parallel by the hypothefis ; this propo- therefore the angle AGH ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore