The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 214
I. A solid is that which hath length , breadth , and thickness . II . That which bounds a solid is a superficies . a III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every ...
I. A solid is that which hath length , breadth , and thickness . II . That which bounds a solid is a superficies . a III . A straight line is perpendicular , or at right angles , to a plane , when it makes right angles with every ...
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 pyramid is a solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by planc figures , of which two that are opposite are equal ...
A pyramid is a solid figure contained by planes that are constituted betwixt one plane and one point above it in which they meet . XIII . A prism is a solid figure contained by planc figures , of which two that are opposite are equal ...
Page 217
A cylinder is a solid figure described by the revolution of a right - angled parallelogram about one of its sides which remains fixed . a XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
A cylinder is a solid figure described by the revolution of a right - angled parallelogram about one of its sides which remains fixed . a XXII . The axis of a cylinder is the fixed straight line about which the parallelogram revolves .
Page 218
A dodecahedron is a solid figure contained by twelve equal pentagons which are equilateral and equiangular . XXIX . An icosahedron is a solid figure contained by twenty equal and equilateral triangles . Def .
A dodecahedron is a solid figure contained by twelve equal pentagons which are equilateral and equiangular . XXIX . An icosahedron is a solid figure contained by twenty equal and equilateral triangles . Def .
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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 |