Let AMB be the enveloped line; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line we understand a line, polygonal, or curve, or partly curve and . partly polygonal, such that a straight line cannot... Elements of Geometry: With Notes - Page 205by John Radford Young - 1827 - 208 pagesFull view - About this book
| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...understand a curved line or polygon, or a line consisting in part of a curve and in part of a polygon, such that a straight line cannot cut it in more than two points (83). If the line AMB had recntering parts or sinuosities, it would cease to be convex, because, as... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...understand a curved line or polygon, or a line consisting in part of a curve and in part of a polygon, such that a straight line cannot cut it in more than two points (83). If the line AMB had re-entering parts or sinuosities, it would cease to be convex, because, as... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...enveloped line. Let AMB be the enveloped line ; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line,...polygonal, such that a straight line cannot cut it in A. more than two points. If in the line AMB there were any sinuosities or re-entrant portions, it would... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...enveloped line. Let AMB be the enveloped line ; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line...line cannot cut it in more than two points. If in the Hne AMB there were any sinuosities or re-entrant portions, it would c-ease to be convex, because a... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...enveloped line. Let AMB be the enveloped line ; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line...straight line cannot cut it in more than two points. 1 f in the line AM B there were any sinuosities or re-entrant portions, it would cease to be convex,... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...understand a curved line or polygon, or a line consisting in part of a curve and in part of a polygon, such that a straight line cannot cut it in more than two points (68). If the line AMB had re-entering parts or sinuosities, it would cease to be convex, because, as... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...enveloped line. Let AMB be the enveloped line ; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line...re-entrant portions, it would cease to be convex, because a A, B straight line might cut it in more than two points. The arcs of a circle are essentially convex... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...enveloped line. Let AMB be the enveloped line; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line...cease to be convex, because a straight line might cut it in more than two points. The arcs of a circle are essentially convex; but the present proposition... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...enveloped line. Let AMD be the enveloped line ; then will it be less than the lino APDB which envelopes it. We have already said that by the term convex line...re-entrant portions, it would cease to be convex, because a A. B straight line might cut it in more than two points. The arcs of a circle are essentially convex... | |
| John Playfair - Euclid's Elements - 1847 - 340 pages
...enveloped line. Let AMB be the enveloped line ; then will it be less than the line APDB which envelopes it. We have already said that by the term convex line...re-entrant portions, it would cease to be convex, because a A. JJ straight line might cut it in more than two points. The arcs of a circle are essentially convex... | |
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