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 89
Side 77
... : The straight line which joins the points F , G fhall pafs through the point of contact A. For , if not , let it pafs otherwife , if poffible , as FCDG , and a 20. f . Book III . join FA , AG : And because join OF EUCLID . 77.
... : The straight line which joins the points F , G fhall pafs through the point of contact A. For , if not , let it pafs otherwife , if poffible , as FCDG , and a 20. f . Book III . join FA , AG : And because join OF EUCLID . 77.
Side 454
... join AD and produce it to E , and join EC : And because each of the straight lines EA , 1. dat . and AC is given , their ratio is given ; and the angle ACE is a right angle , therefore 46. dat . the triangle ACE is given in fpecies ...
... join AD and produce it to E , and join EC : And because each of the straight lines EA , 1. dat . and AC is given , their ratio is given ; and the angle ACE is a right angle , therefore 46. dat . the triangle ACE is given in fpecies ...
Side 494
... Join DE , DA , DC : By def . 1. DA , DC are equal , and AE , EC are alfo equal , and DE is common ; therefore ( 8. 1. ) the angles DEA , DEC are equal ; wherefore the arches DA , DC are equal , and confe- quently each of them is a ...
... Join DE , DA , DC : By def . 1. DA , DC are equal , and AE , EC are alfo equal , and DE is common ; therefore ( 8. 1. ) the angles DEA , DEC are equal ; wherefore the arches DA , DC are equal , and confe- quently each of them is a ...
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