The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
From inside the book
Page 216
... sphere is a solid figure described by the revo- lution of a semicircle about its diameter , which remains unmoved . XV . 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 revo- lution of a semicircle about its diameter , which remains unmoved . XV . The axis of a sphere is the fixed straight line about which the semicircle revolves . XVI . The centre of a sphere ...
Page 319
... spheres which have the same centre , to inscribe a solid polyhedron , the superficies of which shall not meet the lesser sphere . Let there be two spheres about the same cen- tre A it is required to inscribe in the greater a solid ...
... spheres which have the same centre , to inscribe a solid polyhedron , the superficies of which shall not meet the lesser sphere . Let there be two spheres about the same cen- tre A it is required to inscribe in the greater a solid ...
Page 320
... sphere is the circumference of a circle ; and this is a great circle of the sphere , because the diameter of the sphere , which is likewise the diameter of * 15.3 the circle , is greater than any straight line in the circle or sphere ...
... sphere is the circumference of a circle ; and this is a great circle of the sphere , because the diameter of the sphere , which is likewise the diameter of * 15.3 the circle , is greater than any straight line in the circle or sphere ...
Page 322
... has been done upon BK , and the like be done also in the other three quadrants , and in the other hemisphere ; there will be formed a solid polyhedron inscribed in the sphere , composed of pyramids , the bases of 322 EUCLID'S ELEMENTS .
... has been done upon BK , and the like be done also in the other three quadrants , and in the other hemisphere ; there will be formed a solid polyhedron inscribed in the sphere , composed of pyramids , the bases of 322 EUCLID'S ELEMENTS .
Page 323
... sphere , composed of pyramids , the bases of which are the aforesaid quadrilateral figures , and the triangle YRX , and those formed in the like manner in the rest of the sphere , the common vertex of them all being the point A. Also ...
... sphere , composed of pyramids , the bases of which are the aforesaid quadrilateral figures , and the triangle YRX , and those formed in the like manner in the rest of the sphere , the common vertex of them all being the point A. Also ...
Other editions - View all
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... Euclid No preview available - 2015 |
The Elements of Euclid: Viz. the First Six Books, Together With the Eleventh ... Euclid No preview available - 2023 |
Common terms and phrases
AB is equal altitude angle ABC angle ACB angle BAC angle EDF base BC base DEF BC is equal bisected centre circle ABCD circle EFGH circumference cone Const cylinder described diameter draw equal angles equal to AC equiangular equilateral equimultiples exterior angle fore given rectilineal given straight line gnomon inscribed join less Let ABC multiple parallel parallelogram perpendicular point F polygon prism PROB pyramid ABCG pyramid DEFH Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid angle solid CD solid parallelopiped sphere square of AC straight line AB straight line AC THEOR three plane angles tiple touches the circle triangle ABC triangle DEF triplicate ratio wherefore whole