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 16
... third fides , equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz . thofe to which the equal fides are opposite . Let ABC , DEF be two triangles which have the two fides AB , AC ...
... third fides , equal ; and the two triangles fhall be equal ; and their other angles fhall be equal , each to each , viz . thofe to which the equal fides are opposite . Let ABC , DEF be two triangles which have the two fides AB , AC ...
Side 28
... third fide . Let ABC be a triangle : any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC and AB , BC greater than AC ; and BC , CA greater than AB . a Produce BA to the point D ...
... third fide . Let ABC be a triangle : any two fides of it together are greater than the third fide , viz . the fides BA , AC greater than the fide BC and AB , BC greater than AC ; and BC , CA greater than AB . a Produce BA to the point D ...
Side 29
... third " . Let A , B , C be the three given straight lines , of which any two whatever are greater than the third , viz . A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which ...
... third " . Let A , B , C be the three given straight lines , of which any two whatever are greater than the third , viz . A and B greater than C ; A and C greater than B ; and B and C than A. It is required to make a triangle of which ...
Side 32
... third angle of the other . A D Let ABC , DEF be two triangles which have the angles ABC , BCA equal to the angles ... third angle BAC to the third angle EDF . For , if AB be not equal to DE , G B one of them must be the greater . E Let ...
... third angle of the other . A D Let ABC , DEF be two triangles which have the angles ABC , BCA equal to the angles ... third angle BAC to the third angle EDF . For , if AB be not equal to DE , G B one of them must be the greater . E Let ...
Side 33
... third angle BAC to the third angle EDF . Next , let the fides which are oppofite to equal angles in each triangle be equal to one another , viz . AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to ...
... third angle BAC to the third angle EDF . Next , let the fides which are oppofite to equal angles in each triangle be equal to one another , viz . AB to DE ; likewife in this cafe , the other fides fhall be equal , AC to DF , and BC to ...
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