biplanaradj.n.

/bʌɪˈpleɪnə/

Etymology: < biplane n. + -ar suffix¹: compare planar.

Mathematics.

Lying or situated in two tangent planes. Also n., a biplanar node.

ΘΚΠ

the world > relative properties > number > geometry > point > [noun] > of intersection or contact > of specific lines or curves

cuspis1646

focus1656

point of reflection1674

umbilicus1704

cuspid1743

cusp1758

rhamphoid1814

biplanar1849

oscnode1852

tacnode1852

tangential of a point1858

cnicnode1869

uniplane1869

unode1869

the world > relative properties > number > geometry > surface > [adjective] > relating to plane surfaces > characterized by or situated on specific planes

biplanar1849

coplanar1862

uniplanar1863

trisquare1889

orthotropic1943

1849 G. Salmon in Cambr. & Dublin Math. Jrnl. IV. 257 The two tangent planes at the biplanar point.

1849 G. Salmon in Cambr. & Dublin Math. Jrnl. IV. 257 One [plane] through both conical points (1 × 4), one through the biplanar alone (3).

1862 Schläfli in Philos. Trans. Royal Soc. 153 207 Cubic surface of the ninth class with a biplanar node.

1862 G. Salmon Analyt. Geom. 380 A cubic then can have only three such biplanar double points.

1862 G. Salmon Analyt. Geom. 380 Each ordinary double point reducing the degree by two, and each biplanar by three.

1927 H. P. Hudson Cremona Transformations xii. 238 With a d[ouble] p[oint], the parts are both planes, and the singularity is called a binode or biplanar point.

This entry has not yet been fully updated (first published 1933; most recently modified version published online March 2021).

单词	biplanar
释义	biplanaradj.n. /bʌɪˈpleɪnə/ Etymology: < biplane n. + -ar suffix¹: compare planar. Mathematics. Lying or situated in two tangent planes. Also n., a biplanar node. ΘΚΠ the world > relative properties > number > geometry > point > [noun] > of intersection or contact > of specific lines or curves cuspis1646 focus1656 point of reflection1674 umbilicus1704 cuspid1743 cusp1758 rhamphoid1814 biplanar1849 oscnode1852 tacnode1852 tangential of a point1858 cnicnode1869 uniplane1869 unode1869 the world > relative properties > number > geometry > surface > [adjective] > relating to plane surfaces > characterized by or situated on specific planes biplanar1849 coplanar1862 uniplanar1863 trisquare1889 orthotropic1943 1849 G. Salmon in Cambr. & Dublin Math. Jrnl. IV. 257 The two tangent planes at the biplanar point. 1849 G. Salmon in Cambr. & Dublin Math. Jrnl. IV. 257 One [plane] through both conical points (1 × 4), one through the biplanar alone (3). 1862 Schläfli in Philos. Trans. Royal Soc. 153 207 Cubic surface of the ninth class with a biplanar node. 1862 G. Salmon Analyt. Geom. 380 A cubic then can have only three such biplanar double points. 1862 G. Salmon Analyt. Geom. 380 Each ordinary double point reducing the degree by two, and each biplanar by three. 1927 H. P. Hudson Cremona Transformations xii. 238 With a d[ouble] p[oint], the parts are both planes, and the singularity is called a binode or biplanar point. This entry has not yet been fully updated (first published 1933; most recently modified version published online March 2021). < adj.n.1849
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