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 CorrectedJ. Nourse, London, 1781 - 520 sider |
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Resultat 1-5 av 100
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 straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw ...
... perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced to any length both ways , and let C be a point without it . It is required to draw ...
Side 63
... perpendicular falls , and the straight line intercepted without the triangle between the perpendicular and the obtufe angle . Book II . Let ABC be an obtufe angled triangle , having the obtufe angle ACB , and from the point A let AD be ...
... perpendicular falls , and the straight line intercepted without the triangle between the perpendicular and the obtufe angle . Book II . Let ABC be an obtufe angled triangle , having the obtufe angle ACB , and from the point A let AD be ...
Side 64
... perpendicular let fall upon it from the oppo- fite angle , and the acute angle . 1.5 . 4 a 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 ...
... perpendicular let fall upon it from the oppo- fite angle , and the acute angle . 1.5 . 4 a 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 ...
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 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 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 Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore