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 O F Euclid's Data in Like Manner CorrectedF. Wingrave, 1809 - 531 sider |
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Side 189
... sphere is a solid figure described by the revolution of a semicircle about its diameter , which remains unmoved . XV.X 1 The axis of a sphere is the fixed straight line about which the semicircle revolves . XVI . The centre of a sphere ...
... sphere is a solid figure described by the revolution of a semicircle about its diameter , which remains unmoved . XV.X 1 The axis of a sphere is the fixed straight line about which the semicircle revolves . XVI . The centre of a sphere ...
Side 278
... sphere . bang Let there be two spheres about the same centre A ; it is required to describe in the greater a solid polyhedron , the superficies of which shall not meet the lesser sphere . 2 • Let the spheres be cut by a plane passing ...
... sphere . bang Let there be two spheres about the same centre A ; it is required to describe in the greater a solid polyhedron , the superficies of which shall not meet the lesser sphere . 2 • Let the spheres be cut by a plane passing ...
Side 280
... in the other hemisphere ; there shall be formed a solid polyhedron described in the sphere , composed of pyramids , the bases of which are the aforesaid quadri- lateral figures , and the triangle YRX , and those. 230 THE ELEMENTS .
... in the other hemisphere ; there shall be formed a solid polyhedron described in the sphere , composed of pyramids , the bases of which are the aforesaid quadri- lateral figures , and the triangle YRX , and those. 230 THE ELEMENTS .
Side 281
... sphere , the common vertex of them all being the point A : and the superficies of this solid polyhedron does not meet the lesser sphere in which is the circle FGH : For , from the point A draw AZ perpendicular 11. 11 . to the plane of ...
... sphere , the common vertex of them all being the point A : and the superficies of this solid polyhedron does not meet the lesser sphere in which is the circle FGH : For , from the point A draw AZ perpendicular 11. 11 . to the plane of ...
Side 282
... sphere to that plane . There- fore the plane KBOS does not meet the lesser sphere . d And that the other planes between the quadrants BX , KX fall without the lesser sphere , is thus demonstrated : From the point A draw Al perpendicular ...
... sphere to that plane . There- fore the plane KBOS does not meet the lesser sphere . d And that the other planes between the quadrants BX , KX fall without the lesser sphere , is thus demonstrated : From the point A draw Al perpendicular ...
Andre utgaver - Vis alle
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid Ingen forhåndsvisning tilgjengelig - 2016 |
The Elements of Euclid: The Errors, by Which Theon, Or Others, Have Long Ago ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base BC BC is equal BC is given bisected Book XI centre circle ABC circumference common logarithm cone cylinder demonstrated described diameter drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram perpendicular point F polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR tiple triangle ABC triplicate ratio vertex