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 69
Página 18
... equi- angular . PROP . VI . THE OR . IF F two angles of a triangle be , equal to one another , the fides alfo which fubtend , or are oppofite to , the equal angles , fhall be equal to one another . Let 19 . Let ABC be a triangle having ...
... equi- angular . PROP . VI . THE OR . IF F two angles of a triangle be , equal to one another , the fides alfo which fubtend , or are oppofite to , the equal angles , fhall be equal to one another . Let 19 . Let ABC be a triangle having ...
Página 19
... equiangular triangle is also equilateral . UPON PROP . VII . THEOR . b 4. I. PON the fame 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 ...
... equiangular triangle is also equilateral . UPON PROP . VII . THEOR . b 4. I. PON the fame 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 ...
Página 103
... D , which is not greater than the diameter of the circle . Which was to be done . IN PRO P. II . PRO B. a given circle to infcribe a triangle equiangular to a given triangle . G4 Let Book IV . a 17. 3 . b 23. I. OF EUCLID .
... D , which is not greater than the diameter of the circle . Which was to be done . IN PRO P. II . PRO B. a given circle to infcribe a triangle equiangular to a given triangle . G4 Let Book IV . a 17. 3 . b 23. I. OF EUCLID .
Página 104
... equi angular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to describe a triangle about the circle ABC equi- angular to the triangle DEF . Produce EF both ways to the points G , H , and ...
... equi angular to a given triangle . Let ABC be the given circle , and DEF the given triangle ; it is required to describe a triangle about the circle ABC equi- angular to the triangle DEF . Produce EF both ways to the points G , H , and ...
Página 105
... equiangular to the triangle DEF : And it is described about the circle ABC . to be done . Which was To inferi PROP . IV . PRO B. O infcribe a circle in a given triangle . Let the given triangle be ABC ; it is required to infcribe a ...
... equiangular to the triangle DEF : And it is described about the circle ABC . to be done . Which was To inferi PROP . IV . PRO B. O infcribe a circle in a given triangle . Let the given triangle be ABC ; it is required to infcribe a ...
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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