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 CorrectedP. Wogan, 1803 - 520 sider |
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Resultat 1-5 av 39
Side 44
... is equal to the triangle- ABC , and it has one of its angles CEF equal to the given angle D : Wherefore there has been described a parallelogram D E C FECG FECG equal to a given triangle ABC , having one 44 THE ELEMENTS.
... is equal to the triangle- ABC , and it has one of its angles CEF equal to the given angle D : Wherefore there has been described a parallelogram D E C FECG FECG equal to a given triangle ABC , having one 44 THE ELEMENTS.
Side 47
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . e COR . From this it is manifeft how to a given ftraight line to apply a parallelogram , which shall have an ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . e COR . From this it is manifeft how to a given ftraight line to apply a parallelogram , which shall have an ...
Side 48
... described upon the given ftraight line AB : Which was to be done . COR . Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . IN any right angled triangle , the square which is de ...
... described upon the given ftraight line AB : Which was to be done . COR . Hence every parallelogram that has one right angle has all its angles right angles . PROP . XLVII . THEOR . IN any right angled triangle , the square which is de ...
Side 49
... described upon one of the fides of a tri- angle , be equal to the fquares described upon the other two fides of it ; the angle contained by these two fides is a right angle . D If ' Book I. a II . I. b 47. 1 . OF EUCLID 49.
... described upon one of the fides of a tri- angle , be equal to the fquares described upon the other two fides of it ; the angle contained by these two fides is a right angle . D If ' Book I. a II . I. b 47. 1 . OF EUCLID 49.
Side 50
... described upon BC , one of the fides of the tri- angle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . b D From the point A draw 2 AD at right angles to AC ; and make AD equal to BA , and ...
... described upon BC , one of the fides of the tri- angle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . b D From the point A draw 2 AD at right angles to AC ; and make AD equal to BA , and ...
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The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
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 confequently cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fide BC fides 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 muſt parallel parallelogram parallelopipeds perpendicular polygon prifms propofition proportionals pyramid rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe tiple triangle ABC vertex wherefore