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 Corr |
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Side 11
A circle is a plane figure contained by one line , which is called the circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI .
A circle is a plane figure contained by one line , which is called the circumference , and is fuch that all ftraight lines drawn from a certain point within the figure to the circumference , are equal to one another . XVI .
Side 15
From the centre A , at the diftance AB , defcribe a the circle BCD , and from the centre , B , at the distance BA , defcribe the circle ACE ; and from the point D A C , in which the circles cut one another , draw the straight linesb CA ...
From the centre A , at the diftance AB , defcribe a the circle BCD , and from the centre , B , at the distance BA , defcribe the circle ACE ; and from the point D A C , in which the circles cut one another , draw the straight linesb CA ...
Side 16
Book I. Because the point B is the centre of the circle CGH , BC is equal to BG ; and because D is the centre of the circle GKL , 2 e . 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal ; £ . 3.
Book I. Because the point B is the centre of the circle CGH , BC is equal to BG ; and because D is the centre of the circle GKL , 2 e . 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal ; £ . 3.
Side 29
... defcribe b another circle HLK ; and joinKF , KG ; the triangle KFG has its fides equal to the three ftraight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal F G L A B HE a 20. I. a 3. I. b . 3.
... defcribe b another circle HLK ; and joinKF , KG ; the triangle KFG has its fides equal to the three ftraight lines , A , B , C. Because the point F is the centre of the circle DKL , FD is equal F G L A B HE a 20. I. a 3. I. b . 3.
Side 67
THE ELEMENT S F EU C LI D. BOOK III , DEFINITIONS , I. QUAL circles are thofe of which the diameters are equal , Book III ... A ftraight line is faid to touch , a circle , when it meets the circle , and being produced does not cut it .
THE ELEMENT S F EU C LI D. BOOK III , DEFINITIONS , I. QUAL circles are thofe of which the diameters are equal , Book III ... A ftraight line is faid to touch , a circle , when it meets the circle , and being produced does not cut it .
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole