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 81
Side 120
... third to the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater than the ...
... third to the fourth . ' VII . When of the equimultiples of four magnitudes ( taken as in the fifth definition ) the multiple of the firft is greater than that of the fecond , but the multiple of the third is not greater than the ...
Side 129
... third has to the fourth ; then , if the first be greater than the fecond , the third is 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 ...
... third has to the fourth ; then , if the first be greater than the fecond , the third is 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 ...
Side 212
... third plane , and let BD be the common fection of the first two ; BD is perpendicular to the third plane . B If it be not , from the point D draw , in the plane AB , the ftraight line DE at right angles to AD the common fection of the ...
... third plane , and let BD be the common fection of the first two ; BD is perpendicular to the third plane . B If it be not , from the point D draw , in the plane AB , the ftraight line DE at right angles to AD the common fection of the ...
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