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 Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 9
... meet together , but are not in the fame " direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the fame ftraight line . N. B. Book I. A D B CE N. B. ...
... meet together , but are not in the fame " direction . " IX . A plane rectilineal angle is the inclination of two straight lines to one another , which meet together , but are not in the fame ftraight line . N. B. Book I. A D B CE N. B. ...
Side 10
... meet one another , is put between the other two letters , and one of these two is fomewhere upon one of thofe ftraight lines , and the other upon the other line : Thus the angle which is contained by the ftraight lines AB , CB is named ...
... meet one another , is put between the other two letters , and one of these two is fomewhere upon one of thofe ftraight lines , and the other upon the other line : Thus the angle which is contained by the ftraight lines AB , CB is named ...
Side 13
... meet . Book I. LE POSTULATES . I. ET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated ftraight line may be produced to any length in a straight line . III . And that a cirele ...
... meet . Book I. LE POSTULATES . I. ET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated ftraight line may be produced to any length in a straight line . III . And that a cirele ...
Side 14
... meets two ftraight 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 ftraight 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 ...
Side 34
... meet towards B , D. In like manner it may be demonftrated that they do C not meet towards A , C ; but thofe ftraight lines which meet neither way , though A E B G F D b 35. Def . produced ever fo far , are parallel to one another . AB ...
... meet towards B , D. In like manner it may be demonftrated that they do C not meet towards A , C ; but thofe ftraight lines which meet neither way , though A E B G F D b 35. Def . produced ever fo far , are parallel to one another . AB ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore