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 CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
Inni boken
Resultat 6-10 av 44
Side 287
... 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 ( 11. 11. ) AZ perpendicular to the plane ...
... 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 ( 11. 11. ) AZ perpendicular to the plane ...
Side 288
... sphere , to that plane . Therefore the plane KBOS does not meet the lesser sphere . And that the other planes between the quadrants BX , KX fall without the lesser sphere , is thus demonstrated ; from the point A draw AI perpendicular ...
... sphere , to that plane . Therefore the plane KBOS does not meet the lesser sphere . And that the other planes between the quadrants BX , KX fall without the lesser sphere , is thus demonstrated ; from the point A draw AI perpendicular ...
Side 289
... sphere drawn to all the angles of the solid polyhedron in the greater sphere meet the superficies of the lesser ; in the same order in which are joined the points in which the same lines from the centre meet the su- perficies of the ...
... sphere drawn to all the angles of the solid polyhedron in the greater sphere meet the superficies of the lesser ; in the same order in which are joined the points in which the same lines from the centre meet the su- perficies of the ...
Side 290
... spheres , of which the diameters are BC , EF . The sphere ABC has to the sphere DEF the tripli- cate ratio of that which BC has to EF . For , if it has not , the sphere ABC shall have to a sphere either less or greater than DEF , the ...
... spheres , of which the diameters are BC , EF . The sphere ABC has to the sphere DEF the tripli- cate ratio of that which BC has to EF . For , if it has not , the sphere ABC shall have to a sphere either less or greater than DEF , the ...
Side 291
... sphere LMN has to the sphere ABC the triplicate ratio of that which the diameter EF has to the diameter BC . But as the sphere LMN to ABC , so is the sphere DEF to some sphere , which must be less ( 14. 5. ) than the sphere ABC ...
... sphere LMN has to the sphere ABC the triplicate ratio of that which the diameter EF has to the diameter BC . But as the sphere LMN to ABC , so is the sphere DEF to some sphere , which must be less ( 14. 5. ) than the sphere ABC ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone cylinder demonstrated described diameter draw 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 meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition 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 third triangle ABC triplicate ratio vertex wherefore