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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 205
by John Radford Young - 1827 - 208 pages

## Elements of Geometry

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...

## Elements of Geometry...: Translated from the French for the Use of the ...

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...

## Elements of Geometry and Trigonometry: With Notes

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

## Elements of Geometry: Containing the First Six Books of Euclid : with 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,...

## Elements of Geometry

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...