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 sider |
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Resultat 1-5 av 18
Side 23
... segment . To PROP . XII . PRO B. E D B draw a straight line perpendicular to a given ftraight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced any length both ways ...
... segment . To PROP . XII . PRO B. E D B draw a straight line perpendicular to a given ftraight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced any length both ways ...
Side 86
... segment , & c . Q. E. D. PROP . XXII . THEOR . HE oppofite angles of any quadrilateral figure de- fcribed in a circle , are together equal to two right TH angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its ...
... segment , & c . Q. E. D. PROP . XXII . THEOR . HE oppofite angles of any quadrilateral figure de- fcribed in a circle , are together equal to two right TH angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its ...
Side 87
... segments of circles , viz . ACB , ADB , be upon the fame fide of the fame straight line AB , not coinciding with one another : Then , because the circle ACB cuts the circle ADB in the two points A , B , they cannot cut one another in ...
... segments of circles , viz . ACB , ADB , be upon the fame fide of the fame straight line AB , not coinciding with one another : Then , because the circle ACB cuts the circle ADB in the two points A , B , they cannot cut one another in ...
Side 88
... SEGMENT of a circle being given , to describe the circle of which it is the fegment . Let ABC be the given fegment of a circle ; it is required to defcribe the circle of which it is the fegment . Bifecta AC in D , and from the point D ...
... SEGMENT of a circle being given , to describe the circle of which it is the fegment . Let ABC be the given fegment of a circle ; it is required to defcribe the circle of which it is the fegment . Bifecta AC in D , and from the point D ...
Side 89
... segment BAC is fimilar b to the b 11.def . 3 . fegment EDF ; and they are upon equal straight lines BC , EF ; but fimilar fegments of circles upon equal , ftraight lines are e- qual c to one another , therefore the fegment BAC is equal ...
... segment BAC is fimilar b to the b 11.def . 3 . fegment EDF ; and they are upon equal straight lines BC , EF ; but fimilar fegments of circles upon equal , ftraight lines are e- qual c to one another , therefore the fegment BAC is equal ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
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