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
... contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal to the fquare of AB . If there- fore a straight line , & c . Q. E. D. PROP . III . THE OR . F a ...
... contained by AB , BC , for BE is equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal to the fquare of AB . If there- fore a straight line , & c . Q. E. D. PROP . III . THE OR . F a ...
Side 172
... rectangle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained by the extremes be equal to the rectangle contained by the means , the four straight lines are proportionals . Let the ...
... rectangle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained by the extremes be equal to the rectangle contained by the means , the four straight lines are proportionals . Let the ...
Side 173
... rectangle the mean : And if the rectangle contained by the ex- tremes be equal to the fquare of the mean , the three ' ftraight lines are proportionals . Let the three straight lines A , B , C be proportionals , viz . as A to B , fo B ...
... rectangle the mean : And if the rectangle contained by the ex- tremes be equal to the fquare of the mean , the three ' ftraight lines are proportionals . Let the three straight lines A , B , C be proportionals , viz . as A to B , fo B ...
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