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 are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 páginas |
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Página 25
... PROP . XV . THEOR . F two ftraight lines cut one another , the vertical , or IF obvoi fe , aight lineal the equal ... PROP . Book I. a IO . I. PROP . XVI . OF EUCLID . 25.
... PROP . XV . THEOR . F two ftraight lines cut one another , the vertical , or IF obvoi fe , aight lineal the equal ... PROP . Book I. a IO . I. PROP . XVI . OF EUCLID . 25.
Página 40
... PROP . XXXV . THEOR . ARALELLOGRAMS upon the fame base and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon the ... PROP . PA PROP . XXXVI . THEOR . ARALLELOGRAMS upon equal 40 THE ELEMENTS.
... PROP . XXXV . THEOR . ARALELLOGRAMS upon the fame base and between the fame parallels , are equal to one another . Let the parallelograms ABCD , EBCF be upon the ... PROP . PA PROP . XXXVI . THEOR . ARALLELOGRAMS upon equal 40 THE ELEMENTS.
Página 62
... PROP . XI . PROB . ' O divide a given straight line into two parts , so that the rectangle contained by the whole , and one of the parts , fhall be equal to the square of the other ... PROP . Book II . IN PROP . XII . THE OR 62 THE ELEMENTS.
... PROP . XI . PROB . ' O divide a given straight line into two parts , so that the rectangle contained by the whole , and one of the parts , fhall be equal to the square of the other ... PROP . Book II . IN PROP . XII . THE OR 62 THE ELEMENTS.
Página 72
... PROP . VI . THEOR , two circles touch one another internally , they fhall not have the fame centre . Let the two circles ABC , CDE , touch one another internal- ly in the point C ... PROP . I PROP . VII . THEOR . any point be 72 THE ELEMENTS.
... PROP . VI . THEOR , two circles touch one another internally , they fhall not have the fame centre . Let the two circles ABC , CDE , touch one another internal- ly in the point C ... PROP . I PROP . VII . THEOR . any point be 72 THE ELEMENTS.
Página 90
... PROP . XXVII . THEOR . IN equal circles , the angles which fland upon equal circumferences are equal to one another ... PROP . 1 Book III . IN PROP . XXVIII . THEOR 90 THE ELEMENTS PROP. XXVII. THEOR. ...
... PROP . XXVII . THEOR . IN equal circles , the angles which fland upon equal circumferences are equal to one another ... PROP . 1 Book III . IN PROP . XXVIII . THEOR 90 THE ELEMENTS PROP. XXVII. THEOR. ...
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Otras ediciones - Ver todas
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Vista de fragmentos - 1803 |
Términos y frases comunes
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio 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 parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore