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 17
... bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite ... bafe BC fhall coincide with the bafe EF , because the point B coinciding with E , and C with F , if the bate BC does ...
... bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite ... bafe BC fhall coincide with the bafe EF , because the point B coinciding with E , and C with F , if the bate BC does ...
Side 18
... bafe FC is e- qual to the bafe GB , and the tri- angle AFC to the triangle AGB ; and the remaining angles of the one are equal to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ...
... bafe FC is e- qual to the bafe GB , and the tri- angle AFC to the triangle AGB ; and the remaining angles of the one are equal to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ...
Side 19
... bafe DC is equal to the bafe AB , and the triangle DBC is equal to the triangleb ACB , the lefs to the greater ; which is abfurd . Therefore B AB is not unequal to AC , that is , it is A D equal to it . Wherefore , if two angles , & c ...
... bafe DC is equal to the bafe AB , and the triangle DBC is equal to the triangleb ACB , the lefs to the greater ; which is abfurd . Therefore B AB is not unequal to AC , that is , it is A D equal to it . Wherefore , if two angles , & c ...
Side 20
... bafe , and on the fame fide of it , there cannot be two triangles that have their fides which are terminated in one extremity of the bafe equal to one another , and likewife thofe which are terminated in the other extremity . Q. E. D. ...
... bafe , and on the fame fide of it , there cannot be two triangles that have their fides which are terminated in one extremity of the bafe equal to one another , and likewife thofe which are terminated in the other extremity . Q. E. D. ...
Side 21
... bafe BC coin- cides with the bafe EF , but the fides BA , CA do not coin- cide with the fides ED , FD , but have a different fituation , as EG , FG ; then , upon the fame bafe EF , and upon the fame fide of it , there can be two ...
... bafe BC coin- cides with the bafe EF , but the fides BA , CA do not coin- cide with the fides ED , FD , but have a different fituation , as EG , FG ; then , upon the fame bafe EF , and upon the fame fide of it , there can be two ...
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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