单词 | half-space |
释义 | > as lemmashalf-space half-space n. (a) a small landing between flights of a staircase; = half-pace n. 2; (b) Geometry either of the two parts into which a plane divides three-dimensional Euclidean space. [In sense (b), after French demi-espace (1884 or earlier).] ΘΠ society > inhabiting and dwelling > inhabited place > a building > parts of building > stairs > [noun] > landing half-pace1611 landing-place1611 rest1611 resting place1645 plate1661 hearth-pacec1675 foot pace1679 stand1709 flat1730 quarter-pace1730 landing1789 landing floor1856 1681 Tryal S. Bethel sig. A The Old Artillery-House in Southwark, which is Ascended out of the Artillery Ground, by six or eight large Stone steps, with two half Spaces, the uppermost at the entrance into the House, being Banistered about, is so Capacious, as will hold a hundred persons or more. 1741 Hist. Don Alphonso Blas xii. 212 I received him at the half Space of the Stairs, made him enter the Room first, placed him in a great-armed Chair. 1894 Bull. N.Y. Math. Soc. 1 60 Picard then shows very briefly how the notion of connecting the theory of the substitution..with the theory of quadratic forms can be extended to obtain the substitutions for a half-space; analogous to those found for the half-plane. 1990 Q. Jrnl. Mech. & Appl. Math. 43 427 An infinite medium consisting of two semi-infinite half-spaces in welded contact is considered. 2007 A. J. Charlett Fund. Building Technol. xviii. 284 The designer may need to turn the stairway through 90° by the provision of a quarter space landing or 180° by the provision of a half space landing or 270° or even 360° by the combination of quarter space or half space landings. 2012 J. Stillwell Numbers & Geom. vii. 241 Reflection in a sphere is defined analogously to reflection in a circle..and gives a geometry of the half space analogous to the non-Euclidean geometry of the half plane. half-space half-space n. = half-pace n. 2. ΚΠ 1823 P. Nicholson New Pract. Builder 439 The floor between the two flights is termed a half-space or resting-place. < as lemmas |
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