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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Side 197
... fphere is the fixed ftraight line about which the femicircle revolves . XVI . The centre of a sphere is the fame with that of the femicircle . XVII . The diameter of a fphere is any ftraight line which paffes thro ' the centre , and is ...
... fphere is the fixed ftraight line about which the femicircle revolves . XVI . The centre of a sphere is the fame with that of the femicircle . XVII . The diameter of a fphere is any ftraight line which paffes thro ' the centre , and is ...
Side 286
... fphere be BCDE , and with the leffer fphere be FGH ; and draw the two diameters BD , CE at right angles to one another : And in BCDE , the greater of the two circles , defcribeb a polygon of an even number of e- qual fides not meeting ...
... fphere be BCDE , and with the leffer fphere be FGH ; and draw the two diameters BD , CE at right angles to one another : And in BCDE , the greater of the two circles , defcribeb a polygon of an even number of e- qual fides not meeting ...
Side 288
... like be done alfo in the other three qua- drants , and in the other hemifphere ; there fhall be for- med a folid polyhedron defcribed in the fphere , compo . fed fed of pyramids , the bafes of which are the 288 ELEMENTS THE.
... like be done alfo in the other three qua- drants , and in the other hemifphere ; there fhall be for- med a folid polyhedron defcribed in the fphere , compo . fed fed of pyramids , the bafes of which are the 288 ELEMENTS THE.
Side 289
... fphere , the common vertex of them all being the point A : And the fuperficies of this fo- lid polyhedron does not meet the leffer fphere in which is the circle FGH : For , from the point A draw AZ perpendicular a II . II . to the plane ...
... fphere , the common vertex of them all being the point A : And the fuperficies of this fo- lid polyhedron does not meet the leffer fphere in which is the circle FGH : For , from the point A draw AZ perpendicular a II . II . to the plane ...
Side 290
... fphere . 12 . And that the other planes between the quadrants BX , KX fall without the leffer fphere , is thus demonftrated : From the point A draw Al perpendicular to the plane of the quadrila- teral SOPT , and join IO ; and , as was ...
... fphere . 12 . And that the other planes between the quadrants BX , KX fall without the leffer fphere , is thus demonftrated : From the point A draw Al perpendicular to the plane of the quadrila- teral SOPT , and join IO ; and , as was ...
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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