The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 216
... cone is a solid figure described by the revo- lution of a right angled triangle about one of the sides containing ... cone is called a right angled cone ; if it be less than the other side , an obtuse angled ; and if greater , an acute ...
... cone is a solid figure described by the revo- lution of a right angled triangle about one of the sides containing ... cone is called a right angled cone ; if it be less than the other side , an obtuse angled ; and if greater , an acute ...
Page 217
... cone is the circle described by that side containing the right angle which revolves . XXI . A cylinder is a solid ... cones and cylinders are those which have their axes and the diameters of their bases proportionals . XXV . A cube is a ...
... cone is the circle described by that side containing the right angle which revolves . XXI . A cylinder is a solid ... cones and cylinders are those which have their axes and the diameters of their bases proportionals . XXV . A cube is a ...
Page 300
... cone is the third part of a cylinder which has the same base and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone shall be the third part of the ...
... cone is the third part of a cylinder which has the same base and is of an equal altitude with it . Let a cone have the same base with a cylinder , viz . the circle ABCD , and the same altitude . The cone shall be the third part of the ...
Page 302
... cone : let them be those upon the seg- ments of the circle AE , EB , BF , FC , CG , GD , DH , HA ; therefore the ... cone : but this prism is 1 Cor . triple of the pyramid upon the same base , of which the vertex is the same with the ...
... cone : let them be those upon the seg- ments of the circle AE , EB , BF , FC , CG , GD , DH , HA ; therefore the ... cone : but this prism is 1 Cor . triple of the pyramid upon the same base , of which the vertex is the same with the ...
Page 303
... cone , is greater than the half of the cone . Bisect the circumferences AB , BC , CD , DA in the points E , F , G , H , and join AE , EB , BF , FC , CG , GD , DH , HA : therefore each of the triangles AEB , BFC , CGD , DHA is greater ...
... cone , is greater than the half of the cone . Bisect the circumferences AB , BC , CD , DA in the points E , F , G , H , and join AE , EB , BF , FC , CG , GD , DH , HA : therefore each of the triangles AEB , BFC , CGD , DHA is greater ...
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