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 42
Side 53
... divided into any two parts , the rectangle contained by the whole and one of the parts , is equal with the rectangle contained by the two parts , together with the fquare of the forefaid part . A C B a 46. I. b 31. I. Let the ftraight ...
... divided into any two parts , the rectangle contained by the whole and one of the parts , is equal with the rectangle contained by the two parts , together with the fquare of the forefaid part . A C B a 46. I. b 31. I. Let the ftraight ...
Side 167
... divided straight line , that is , into parts that fhall have the fame ratios to one another which the parts of the divided given straight line have . Let AB be the straight line given to be divided , and AC the divided line ; it is ...
... divided straight line , that is , into parts that fhall have the fame ratios to one another which the parts of the divided given straight line have . Let AB be the straight line given to be divided , and AC the divided line ; it is ...
Side 260
... divided in- to two equal pyramids fimilar to the whole pyramid , and alfo into two equal prifms ; and if each of thefe pyramids be divided in the fame manner as the first two , and fo on : As the base of one of the first two pyramids is ...
... divided in- to two equal pyramids fimilar to the whole pyramid , and alfo into two equal prifms ; and if each of thefe pyramids be divided in the fame manner as the first two , and fo on : As the base of one of the first two pyramids is ...
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