The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 215
A solid angle is that which is made by the meeting of more than two plane angles , which are not in the same plane , in one point . X. « The tenth definition is omitted for reasons given in the notes . See Octavo Edition , XI .
A solid angle is that which is made by the meeting of more than two plane angles , which are not in the same plane , in one point . X. « The tenth definition is omitted for reasons given in the notes . See Octavo Edition , XI .
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 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 revolution of a right - angled parallelogram about one of its sides which remains ...
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 revolution of a right - angled parallelogram about one of its sides which remains ...
Page 234
非 11 . at right angles to CD the common section of the plane BC with the third plane . ... If a solid angle be contained by three plane angles , any two of them are greater than the third . Let the solid angle at A be contained by the ...
非 11 . at right angles to CD the common section of the plane BC with the third plane . ... If a solid angle be contained by three plane angles , any two of them are greater than the third . Let the solid angle at A be contained by the ...
Page 235
Then because the solid angle at B is contained by the three plane angles CBA , ABD , DBC , any two of them are greater * than the third ; there- * 20. 11 . fore the angles CBA , ABD are greater than the angle DBC : for the same reason ...
Then because the solid angle at B is contained by the three plane angles CBA , ABD , DBC , any two of them are greater * than the third ; there- * 20. 11 . fore the angles CBA , ABD are greater than the angle DBC : for the same reason ...
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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 |