bitangentn.adj.

/bʌɪˈtandʒənt/

Etymology: bi- comb. form. Compare French bitangente.

Geom.

A. n.

A line that touches a curve or surface at two different points; a double tangent.

ΘΚΠ

the world > relative properties > number > geometry > line > [noun] > tangent

touchline1551

adscript1636

tangent1655

focal tangent1706

semi-tangent1823

tractor1867

bitangent1873

slope1889

1873 G. Salmon Treat. Higher Plane Curves (ed. 2) vi. 218 Through the four points of contact of any two bitangents we can describe five conics.

1875 F. Purser in Q. Jrnl. Math. 13 338 On bitangents to the surface of centres of a quadric.

1948 J. W. Archbold Introd. Algebraic Geom. Plane vii. 271 The only ‘multiple lines’ of the tangent envelope C are β bitangents of C and the tangents at ι simple inflexions.

B. adj.

Of a straight line or plane: Touching a curved line or surface at two different points.

ΚΠ

1874 G. Salmon Analyt. Geom. (ed. 3) Index, Bitangent Lines... Bitangent Planes.

Derivatives

bitanˈgential adj. designating a curve that passes through the points of contact of the bitangents of a given curve; also ellipt.

ΘΚΠ

the world > relative properties > number > geometry > curve > [adjective] > relating to point(s) in

punctated1710

bipartite1858

punctate1860

inflectional1862

bicuspidal1867

bitangential1873

trinodal1873

1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ix. 336 The equation of the bitangential curve of a quartic.

1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ix. 340 If the equation of this tangential curve were once formed, then, by forming the condition that the given tangent should touch this curve, we should immediately have the equation of the bitangential.

This entry has not yet been fully updated (first published 1933; most recently modified version published online March 2016).

单词	bitangent
释义	bitangentn.adj. /bʌɪˈtandʒənt/ Etymology: bi- comb. form. Compare French bitangente. Geom. A. n. A line that touches a curve or surface at two different points; a double tangent. ΘΚΠ the world > relative properties > number > geometry > line > [noun] > tangent touchline1551 adscript1636 tangent1655 focal tangent1706 semi-tangent1823 tractor1867 bitangent1873 slope1889 1873 G. Salmon Treat. Higher Plane Curves (ed. 2) vi. 218 Through the four points of contact of any two bitangents we can describe five conics. 1875 F. Purser in Q. Jrnl. Math. 13 338 On bitangents to the surface of centres of a quadric. 1948 J. W. Archbold Introd. Algebraic Geom. Plane vii. 271 The only ‘multiple lines’ of the tangent envelope C are β bitangents of C and the tangents at ι simple inflexions. B. adj. Of a straight line or plane: Touching a curved line or surface at two different points. ΚΠ 1874 G. Salmon Analyt. Geom. (ed. 3) Index, Bitangent Lines... Bitangent Planes. Derivatives bitanˈgential adj. designating a curve that passes through the points of contact of the bitangents of a given curve; also ellipt. ΘΚΠ the world > relative properties > number > geometry > curve > [adjective] > relating to point(s) in punctated1710 bipartite1858 punctate1860 inflectional1862 bicuspidal1867 bitangential1873 trinodal1873 1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ix. 336 The equation of the bitangential curve of a quartic. 1873 G. Salmon Treat. Higher Plane Curves (ed. 2) ix. 340 If the equation of this tangential curve were once formed, then, by forming the condition that the given tangent should touch this curve, we should immediately have the equation of the bitangential. This entry has not yet been fully updated (first published 1933; most recently modified version published online March 2016). < n.adj.1873
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