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 CorrectedCuthell & Martin, London, 1803 - 520 sider |
Inni boken
Resultat 1-3 av 86
Side 27
... greater than the angles ABC , ACB ; but ACD , ACB are to - d gether equal b to two right angles ; therefore the ... greater fide of every triangle is oppofite to the greater angle . Let ABC be a triangle , of which the fide AC is greater ...
... greater than the angles ABC , ACB ; but ACD , ACB are to - d gether equal b to two right angles ; therefore the ... greater fide of every triangle is oppofite to the greater angle . Let ABC be a triangle , of which the fide AC is greater ...
Side 28
... greater than AB . Wherefore the greater angle , & c . Q. E. D. b 18. 1 . See N. 3. I. b 5. I. C 19. I. See N. A PROP . XX . THE OR . NY two fides of a triangle are together greater than the third fide . Let ABC be a triangle ; any two ...
... greater than AB . Wherefore the greater angle , & c . Q. E. D. b 18. 1 . See N. 3. I. b 5. I. C 19. I. See N. A PROP . XX . THE OR . NY two fides of a triangle are together greater than the third fide . Let ABC be a triangle ; any two ...
Side 138
... greater than N , G is greater b5 . def . 5. than K ; and if equal , equal ; and if lefs , lefs ; but G is greater than K , therefore M is greater than N : But H is not greater than L ; and M , H are equimultiples of A , E ; and N , L ...
... greater than N , G is greater b5 . def . 5. than K ; and if equal , equal ; and if lefs , lefs ; but G is greater than K , therefore M is greater than N : But H is not greater than L ; and M , H are equimultiples of A , E ; and N , L ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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 cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon 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 parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore