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 CorrectedP. Wogan, 1803 - 520 sider |
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Side 17
... base BC fhall be equal to to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite , fhall be equal each to each , viz . the angle ABC to the : angle DEF , and the angle ...
... base BC fhall be equal to to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite , fhall be equal each to each , viz . the angle ABC to the : angle DEF , and the angle ...
Side 18
... base BC is common to the two triangles BFC , CGB ; wherefore the triangles are equal » , and their remaining angles ... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...
... base BC is common to the two triangles BFC , CGB ; wherefore the triangles are equal » , and their remaining angles ... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...
Side 19
... base , and on the fame fide of it , See N. there cannot be two triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewife those which are terminated in the other extremity . If ...
... base , and on the fame fide of it , See N. there cannot be two triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewife those which are terminated in the other extremity . If ...
Side 21
... base BC coin- cides with the bafe EF , but the fides BA , CA do not coincide with the fides ED , FD , but have a different fituation as EG , FG ; then , upon the fame base EF , and upon the fame fide of it , there can be two triangles ...
... base BC coin- cides with the bafe EF , but the fides BA , CA do not coincide with the fides ED , FD , but have a different fituation as EG , FG ; then , upon the fame base EF , and upon the fame fide of it , there can be two triangles ...
Side 22
... base AD is equal to the base DB , and the ftraight line AB is divided into two equal parts in the point D. Which was to be done . T A D PROP . XI . PROB . B O draw a ftraight line at right angles to a given ftraight line , from a given ...
... base AD is equal to the base DB , and the ftraight line AB is divided into two equal parts in the point D. Which was to be done . T A D PROP . XI . PROB . B O draw a ftraight line at right angles to a given ftraight line , from a given ...
Andre utgaver - Vis alle
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides 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 muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore