 It is necessary to consider a solid, that is, a magnitude which has length, breadth, and thickness, in order to understand aright the definitions of a point, line and superficies ; for these all arise from a solid, and exist...  New Elements of Geometry - 17 ページSeba Smith 著 - 1850 - 200 ページ全文表示 - この書籍について
 | Euclid - 1810 - 554 ページ
...t. has length, breadth, and thickness, in order to understand aright v— v— ' the 'K.liiiiiions of a point, line, and superficies ; for these all...arise from a solid, and exist in it : the boundary, or bounda- i ries, which contain a solid are called superficies, or the boun- ' dary which is common to... | |
 | John Playfair - 1819 - 350 ページ
...done, I shall here add, with very little change, the illustration given by that excellent Geometer. " It is necessary to consider a solid, that is, a magnitude...definitions of a point, line and superficies ; for these al) arise from a solid, and exist in it : The boundary, or boundaries which contain a solid are called... | |
 | Euclid, John Playfair - 1826 - 326 ページ
..."It is neeessary to eonsider a solid, that is, a magnitude whieh baa length, breadth and thiekness, in order to understand aright the definitions of a point, line and superfieies ; for these all arise from a sohd, and exist in it: The boundary, or boundaries whieh eontain... | |
 | Euclid, Robert Simson - 1829 - 548 ページ
...MD ZMiniTtis rnOFEssoB OF MATHEMATICS IN THE CKIVKHSITT OF GLASGOW. NOTES, E DEFINITION I. BOOK I. IT is necessary to consider a solid, that is, a magnitude...two solids which are contiguous, or which divides onq solid into two contiguous parts, is called a superficies : thus, if BCGF be one of the boundaries... | |
 | Euclides - 1834 - 518 ページ
...Greek Text, and the reasons of the alterations that have been made. BOOK I. DEFINITIONS. I. to VI. IT is necessary to consider a solid, that is, a magnitude...order to understand aright the definitions of a point, liue, and superficies ; for all these arise from a solid, and exist in it. The boundary, or boundaries,... | |
 | Euclid, James Thomson - 1837 - 410 ページ
...negative. The following illustration*, taken in substance from Dr. Simson, are well deserving of attention. It is necessary to consider a solid, that is, a magnitude...in order to understand aright, the definitions of a surface, line, and point, for these all arise from a solid, and exist in it. The boundary or boundaries... | |
 | Euclides - 1845 - 546 ページ
...insurmountable of defining satisfactorily the elementary abstractions of Geometry. Simson observes that it is necessary to consider a solid, that is a magnitude...order to understand aright the definitions of a point, a line, and a superficies. A solid or volume considered apart from its physical properties, suggests... | |
 | Euclid, James Thomson - 1845 - 382 ページ
...negative. The following illustrations, taken in substance from Dr. i are well deserving of attention. It is necessary to consider a solid, that is, a magnitude which has length, breadth, and thickness, for the purpose of understanding aright the definitions of a surface, line, and point, for these all... | |
 | Euclid, John Playfair - 1846 - 334 ページ
...done, I shall here add, with very little change, the illustration given by that excellent Geometer. " It is necessary to consider a solid, that is, a magnitude...superficies ; for these all arise from a solid, and exist iii it ; The boundary, or boundaries which contain a solid, are called superficies, or the boundary... | |
 | Popular educator - 1852 - 842 ページ
...present our students with the tpswsima verba, the very words themselves written by that learned man. " It is necessary to consider a solid, that is, a magnitude...order to understand aright the definitions of a point, a line, and a superficies ; for all these arise from a soUd and exist in it. The boundary, or boundaries,... | |
| |
