The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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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. A parallelopiped is a ...
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. A parallelopiped is a ...
Page 248
If a solid parallelopiped be cut by a plane parallel to two of its opposite planes ; it divides the whole into two solids , the base of one of which shall be to the base of the other , as the one solid is to the other .
If a solid parallelopiped be cut by a plane parallel to two of its opposite planes ; it divides the whole into two solids , the base of one of which shall be to the base of the other , as the one solid is to the other .
Page 251
Therefore , because the three plane angles BAL , BAH , HAL , which contain the solid angle at A , are equal to the three ... To describe from a given straight line u solid parallelopiped similar and similarly situated to one given .
Therefore , because the three plane angles BAL , BAH , HAL , which contain the solid angle at A , are equal to the three ... To describe from a given straight line u solid parallelopiped similar and similarly situated to one given .
Page 252
the given solid parallelopiped . It is required from AB to describe a solid parallelopiped similar and similarly situated to CD . At the point A of the given straight line AB * 26. 11. make * a solid angle equal to the solid angle at C ...
the given solid parallelopiped . It is required from AB to describe a solid parallelopiped similar and similarly situated to CD . At the point A of the given straight line AB * 26. 11. make * a solid angle equal to the solid angle at C ...
Page 253
If a solid parallelopiped be cut by a plane passing through the diagonals of two of the opposite planes ; it shall be cut into two equal parts . Let AB be a solid parallelopiped , and DE , CF the diagonals of the opposite parallelograms ...
If a solid parallelopiped be cut by a plane passing through the diagonals of two of the opposite planes ; it shall be cut into two equal parts . Let AB be a solid parallelopiped , and DE , CF the diagonals of the opposite parallelograms ...
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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 |