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 |
Inni boken
Resultat 1-5 av 6
Side 16
... , viz . thofe to which the equal fides are opposite . Let ABC , DEF be two triangles which have the two fides AB , AC equal to the two fides DE , DF , each to each , viz . AB . AB to DE , and AC to DF ; and 16 THE ELEMENTS.
... , viz . thofe to which the equal fides are opposite . Let ABC , DEF be two triangles which have the two fides AB , AC equal to the two fides DE , DF , each to each , viz . AB . AB to DE , and AC to DF ; and 16 THE ELEMENTS.
Side 27
... opposite to the greater angle . Let ABC be a triangle , of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angle BCA . Because AC is greater than AB , make AD equal to AB , and join BD ; and ...
... opposite to the greater angle . Let ABC be a triangle , of which the fide AC is greater than the fide AB ; the angle ABC is alfo greater than the angle BCA . Because AC is greater than AB , make AD equal to AB , and join BD ; and ...
Side 229
... opposite parallelograms AH , GB , viz . those which are drawn betwixt the equal angles in each : And because CD , FE are each of them parallel to GA , and not in the fame plane with it , CD , FE are parallel ; wherefore the diagonals CF ...
... opposite parallelograms AH , GB , viz . those which are drawn betwixt the equal angles in each : And because CD , FE are each of them parallel to GA , and not in the fame plane with it , CD , FE are parallel ; wherefore the diagonals CF ...
Side 233
... opposite c C 7. 5 . planes CP , BR ; as the bafe CD to the P F R. bafe LQ , fo is the folid CF to the folid LR : But as the base AB to the bafe LQ , fo the bafe the bafe CD to N M E G X K D Q B LQ , as before was C I proved : Therefore ...
... opposite c C 7. 5 . planes CP , BR ; as the bafe CD to the P F R. bafe LQ , fo is the folid CF to the folid LR : But as the base AB to the bafe LQ , fo the bafe the bafe CD to N M E G X K D Q B LQ , as before was C I proved : Therefore ...
Side 496
... opposite to Let ABC be a spherical triangle , the greater angle A is op- pofed to the greater fide BC . Let the angle BAD be made equal to the angle B , and then BD , DA will be equal , ( 5. of this ) and therefore AD , DC DC are equal ...
... opposite to Let ABC be a spherical triangle , the greater angle A is op- pofed to the greater fide BC . Let the angle BAD be made equal to the angle B , and then BD , DA will be equal , ( 5. of this ) and therefore AD , DC DC are equal ...
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