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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Side 11
... circle XVII . A diameter of a circle is a straight line drawn through the cen tre , and terminated both ways by the circumference . XVIII . A femicircle is the figure contained by a diameter and the part of the circumference cut off by ...
... circle XVII . A diameter of a circle is a straight line drawn through the cen tre , and terminated both ways by the circumference . XVIII . A femicircle is the figure contained by a diameter and the part of the circumference cut off by ...
Side 15
... circle BCD , and from the centre , B , at the distance BA , defcribe the circle ACE ; and from the point D C , in which the circles cut one nother , draw the straight linesb CA , CB to the points A , B ; ABC hall be an equilateral ...
... circle BCD , and from the centre , B , at the distance BA , defcribe the circle ACE ; and from the point D C , in which the circles cut one nother , draw the straight linesb CA , CB to the points A , B ; ABC hall be an equilateral ...
Side 16
... circle CGH , BC is equal to BG ; and because D is the centre of the circle GKL , e . 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal , 1.3 . Ax . therefore the remainder AL is equal to the remainder f BG : But it ...
... circle CGH , BC is equal to BG ; and because D is the centre of the circle GKL , e . 15. Def . DL is equal to DG , and DA , DB , parts of them , are equal , 1.3 . Ax . therefore the remainder AL is equal to the remainder f BG : But it ...
Side 29
... circle D DKL ; and from the cen- tre G , at the distance GH , defcribe b another circle HLK ; and joinKF , KG ; the triangle KFG a 3. I. K G HE b . 3. Poft . L A B C has its fides equal to the three ftraight lines , A , Because the ...
... circle D DKL ; and from the cen- tre G , at the distance GH , defcribe b another circle HLK ; and joinKF , KG ; the triangle KFG a 3. I. K G HE b . 3. Poft . L A B C has its fides equal to the three ftraight lines , A , Because the ...
Side 67
... circles be applied to one another , so that ' their centres coincide , the circles muft likewife coincide , fince the straight lines from the centres are equal . ' II . A ftraight line is faid to touch a circle , when it meets the circle ...
... circles be applied to one another , so that ' their centres coincide , the circles muft likewife coincide , fince the straight lines from the centres are equal . ' II . A ftraight line is faid to touch a circle , when it meets the circle ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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