The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 213
Let ABCD be any quadrilateral figureinscribed i terk in a circle , and join AC , BD : the rectangle cone recay tained by AC , BD shall be equal to the two ce of Al rectangles contained by AB , CD , and by AD , 3 . BC .
Let ABCD be any quadrilateral figureinscribed i terk in a circle , and join AC , BD : the rectangle cone recay tained by AC , BD shall be equal to the two ce of Al rectangles contained by AB , CD , and by AD , 3 . BC .
Page 216
A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle , which side remains fixed . If the fixed side be equal to the other side containing the right angle ...
A cone is a solid figure described by the revolution of a right angled triangle about one of the sides containing the right angle , which side remains fixed . If the fixed side be equal to the other side containing the right angle ...
Page 217
The axis of a cone is the fixed straight line about which the triangle revolves . XX . The base of a cone is the circle described by that side containing the right angle which revolves . XXI . A cylinder is a solid figure described by ...
The axis of a cone is the fixed straight line about which the triangle revolves . XX . The base of a cone is the circle described by that side containing the right angle which revolves . XXI . A cylinder is a solid figure described by ...
Page 300
Every cone is the third part of a cylinder which has the same base und 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 ...
Every cone is the third part of a cylinder which has the same base und 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 ...
Page 302
12 , than the excess of the cylinder above the triple of the cone : let them be those upon the segments of the circle AE , EB , BF , FC , CG , GD , DH , HA ; therefore the rest of the cylinder , that is , the prism of which the base is ...
12 , than the excess of the cylinder above the triple of the cone : let them be those upon the segments of the circle AE , EB , BF , FC , CG , GD , DH , HA ; therefore the rest of the cylinder , that is , the prism of which the base is ...
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The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Euclid Euclid No preview available - 2018 |
Common terms and phrases
altitude angle ABC angle BAC base base BC BC is equal centre circle ABCD circumference common cone Const contained cylinder demonstrated described diameter divided double draw drawn equal angles equiangular equilateral equimultiples extremities fall figure fore four fourth given given straight line greater half inscribed join less Let ABC likewise magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportionals proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle solid parallelopiped sphere square taken THEOR third touches triangle ABC vertex wherefore whole
Bibliographic information
| Title | The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
| Author | Euclid |
| Editors | Robert Simson, Samuel Maynard |
| Translated by | Robert Simson |
| Publisher | Longman, Orme, Brown, Green, and Longmans, 1838 |
| Original from | University of Iowa |
| Digitized | 13 Jul 2015 |
| Length | 328 pages |
| Export Citation | BiBTeX EndNote RefMan |