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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