英语词汇“halfplane”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

half-plane n. Mathematics either of the two parts into which a plane is divided by a straight line; cf. plane n.³ 1a.

ΘΠ

the world > relative properties > number > geometry > surface > [noun] > part of

zone1795

sheeta1831

1848 Mem. & Proc. Chem. Soc. London 1845–8 3 503 The vertical half plane and axis may be placed at any position upon the equatorial plane.

1927 H. G. Forder Found. Euclidean Geom. iii. 68 The regions into which a line a separates a plane ω in which it lies are the ‘half-planes from a in ω’.

1968 P. A. P. Moran Introd. Probability Theory x. 473 In the cases considered the domain is a rectangle, an infinite strip, a half-plane, or infinite quadrant.

2013 College Math. Jrnl. 44 194 The center of such a circle moves away from XY along the perpendicular bisector, its radius increases, and the circle approaches the half-plane determined by the line through XY.

half-plane n. Math. (see quot. 1959).

ΚΠ

1891 A. Cayley Wks. XIII. 191 The author [sc. Schwartz] considers the orthomorphic transformation (or, as I call it, the orthomorphosis) of a square into the infinite half-plane, or into a circle.

1927 H. G. Forder Found. Euclidean Geom. iii. 68 The regions into which a line a separates a plane ω in which it lies are the ‘half-planes from a in ω’.

1959 G. James & R. C. James Math. Dict. (ed. 2) 182/1 Half-plane, the part of a plane which lies on one side of a line in the plane.

1968 P. A. P. Moran Introd. Probability Theory x. 473 In the cases considered the domain is a rectangle, an infinite strip, a half-plane, or infinite quadrant.

单词	halfplane
释义	> as lemmas half-plane half-plane n. Mathematics either of the two parts into which a plane is divided by a straight line; cf. plane n.³ 1a. ΘΠ the world > relative properties > number > geometry > surface > [noun] > part of zone1795 sheeta1831 1848 Mem. & Proc. Chem. Soc. London 1845–8 3 503 The vertical half plane and axis may be placed at any position upon the equatorial plane. 1927 H. G. Forder Found. Euclidean Geom. iii. 68 The regions into which a line a separates a plane ω in which it lies are the ‘half-planes from a in ω’. 1968 P. A. P. Moran Introd. Probability Theory x. 473 In the cases considered the domain is a rectangle, an infinite strip, a half-plane, or infinite quadrant. 2013 College Math. Jrnl. 44 194 The center of such a circle moves away from XY along the perpendicular bisector, its radius increases, and the circle approaches the half-plane determined by the line through XY. extracted from halfadj. half-plane half-plane n. Math. (see quot. 1959). ΚΠ 1891 A. Cayley Wks. XIII. 191 The author [sc. Schwartz] considers the orthomorphic transformation (or, as I call it, the orthomorphosis) of a square into the infinite half-plane, or into a circle. 1927 H. G. Forder Found. Euclidean Geom. iii. 68 The regions into which a line a separates a plane ω in which it lies are the ‘half-planes from a in ω’. 1959 G. James & R. C. James Math. Dict. (ed. 2) 182/1 Half-plane, the part of a plane which lies on one side of a line in the plane. 1968 P. A. P. Moran Introd. Probability Theory x. 473 In the cases considered the domain is a rectangle, an infinite strip, a half-plane, or infinite quadrant. extracted from half-comb. form < as lemmas
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