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 97
Side 10
... perpendicular to it . XI . An obtufe angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is ...
... perpendicular to it . XI . An obtufe angle is that which is greater than a right angle . XII . An acute angle is that which is less than a right angle . XIII . " A term or boundary is the extremity of any thing . " XIV . A figure is ...
Side 23
... 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 , and let C be a point without it . It is required to draw a ...
... 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 , and let C be a point without it . It is required to draw a ...
Side 63
... perpendicular be drawn from any of the acute angles to the oppofite fide produced , the fquare of the fide fubtending the ob- tufe angle is greater than the fquares of the fides con- taining the obtufe angle , by twice the rectangle con ...
... perpendicular be drawn from any of the acute angles to the oppofite fide produced , the fquare of the fide fubtending the ob- tufe angle is greater than the fquares of the fides con- taining the obtufe angle , by twice the rectangle con ...
Side 64
... perpendicular let fall upon it from the oppofite angle , and the acute angle . Let ABC be any triangle , and the angle at B one of its a- cute angles , and upon BC , one of the fides containing it , let fall the perpendicular a AD from ...
... perpendicular let fall upon it from the oppofite angle , and the acute angle . Let ABC be any triangle , and the angle at B one of its a- cute angles , and upon BC , one of the fides containing it , let fall the perpendicular a AD from ...
Side 65
... perpendicular to BC ; then is BC the ftraight line between the perpendicular and the acute angle at B ; and it is manifeft that the fquares of AB , BC are e- qual g to the fquare of AC and twice the fquare of BC : Therefore , in every ...
... perpendicular to BC ; then is BC the ftraight line between the perpendicular and the acute angle at B ; and it is manifeft that the fquares of AB , BC are e- qual g to the fquare of AC and twice the fquare of BC : Therefore , in every ...
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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