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 |
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Resultat 1-3 av 87
Side 129
... alfo greater than the fourth ; and , if equal , equal ; if lefs , lefs . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of this book , if the double of the firft be greater than the double of the ...
... alfo greater than the fourth ; and , if equal , equal ; if lefs , lefs . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of this book , if the double of the firft be greater than the double of the ...
Side 160
... alfo cuts the bafe produced ; the fegments between the dividing line and the extremities of the base have the fame ratio which the other fides of the triangle have to one another : And if the fegments of the base produced , have the ...
... alfo cuts the bafe produced ; the fegments between the dividing line and the extremities of the base have the fame ratio which the other fides of the triangle have to one another : And if the fegments of the base produced , have the ...
Side 354
... alfo is made fomething shorter by following the way Euclid has made ufe of in prop . 14. book 6. Befides , in the demonftration of the cafe in which the in- fifting straight lines are not at right angles to the bafes , the edi tor does ...
... alfo is made fomething shorter by following the way Euclid has made ufe of in prop . 14. book 6. Befides , in the demonftration of the cafe in which the in- fifting straight lines are not at right angles to the bafes , the edi tor does ...
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