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

b. Geometry. A straight line which touches a curve (or curved surface), i.e. meets it at a point and being produced does not (ordinarily) intersect it at that point. spec. in Surveying, a tangent to a curve at a point ( tangent point) where the curve starts or finishes; frequently attributive, as tangent distance, tangent length, the length of such a tangent from the tangent point to its intersection with the other tangent.In Higher Geometry a tangent is regarded as the limiting position of a line intersecting a curve when the two (or more) points of intersection coincide, and is hence defined as a straight line passing through two (or more) consecutive points of the curve. If the curve be conceived as traced by a moving particle, the tangent at any point of it represents the direction of motion at that point; hence a body moving in a curve, when the restraining force is withdrawn, flies off at a tangent, i.e. along the tangent (cf. the figurative use in B. 1c). At a point of inflection, where the curvature (i.e. deviation from the straight line) changes its direction, the tangent intersects as well as touches the curve.

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

touchline1551

adscript1636

tangent1655

focal tangent1706

semi-tangent1823

tractor1867

bitangent1873

slope1889

the world > the earth > earth sciences > geography > map-making > surveying > [noun] > point at end of curve

tangent point1850

the world > the earth > earth sciences > geography > map-making > surveying > [noun] > a survey line > tangent at end of curve

tangent1850

the world > the earth > earth sciences > geography > map-making > surveying > [noun] > distances measured between points or lines

easting1652

northing1652

southing1652

westing1652

offset1725

vertical interval1885

horizontal equivalent1889

tangent distance1983

1655 T. Gibson Syntaxis Mathematica xiii. 142 To draw a tangent [cf. 1551 Recorde Pathway, touche line] to any point assigned in any section, or from any point without the section.

1704 J. Harris Lexicon Technicum I Tangent, of a Parabola, (or other Conick Section, or Geometrical Curve) is a Right Line Drawn, cutting the Ax Produced, and touching the Section in one Point without cutting it.

1706 W. Jones Synopsis Palmariorum Matheseos 221 A Tangent to any point of the Circumference [of a circle] is Perpendicular to the Radius drawn to that Point.

1832 Nat. Philos. (Libr. Useful Knowl.) II. Introd. Mechanics p. xvi If a stone, whirled round in a sling, gets loose at the point A.., it flies off in the direction AB: this line is called a tangent.

1850 T. Baker Rudimentary Treat. Land & Engin. Surv. ii. ii. 171 Find the radii, as BO, CO′; the tangent point, as C′; and the junction point, as C, with the position of the common tangent at the junction point.

1862 W. J. M. Rankine Man. Civil Engin. i. v. 111 The places where permanent marks of the course of the line are chiefly required are on the tangents of curves.

1902 R. E. Middleton et al. Treat. Surveying II. v. 61 Find length of tangent for a 3° curve with central angle of 35° 42′.

1978 J. G. McEntyre Land Surv. Syst. x. 329 An easement curve is a transition curve utilized to increase the degree of curvature gradually from the tangent point to the circular portion of a curve.

1983 J. C. McCormack Surveying Fund. xxi. 384 The tangent distances are taped from the P.I. [sc. point of intersection] down both tangents to locate the P.C. and P.T.

单词	tangent distance
释义	> as lemmas tangent distance b. Geometry. A straight line which touches a curve (or curved surface), i.e. meets it at a point and being produced does not (ordinarily) intersect it at that point. spec. in Surveying, a tangent to a curve at a point ( tangent point) where the curve starts or finishes; frequently attributive, as tangent distance, tangent length, the length of such a tangent from the tangent point to its intersection with the other tangent.In Higher Geometry a tangent is regarded as the limiting position of a line intersecting a curve when the two (or more) points of intersection coincide, and is hence defined as a straight line passing through two (or more) consecutive points of the curve. If the curve be conceived as traced by a moving particle, the tangent at any point of it represents the direction of motion at that point; hence a body moving in a curve, when the restraining force is withdrawn, flies off at a tangent, i.e. along the tangent (cf. the figurative use in B. 1c). At a point of inflection, where the curvature (i.e. deviation from the straight line) changes its direction, the tangent intersects as well as touches the curve. ΘΚΠ the world > relative properties > number > geometry > line > [noun] > tangent touchline1551 adscript1636 tangent1655 focal tangent1706 semi-tangent1823 tractor1867 bitangent1873 slope1889 the world > the earth > earth sciences > geography > map-making > surveying > [noun] > point at end of curve tangent point1850 the world > the earth > earth sciences > geography > map-making > surveying > [noun] > a survey line > tangent at end of curve tangent1850 the world > the earth > earth sciences > geography > map-making > surveying > [noun] > distances measured between points or lines easting1652 northing1652 southing1652 westing1652 offset1725 vertical interval1885 horizontal equivalent1889 tangent distance1983 1655 T. Gibson Syntaxis Mathematica xiii. 142 To draw a tangent [cf. 1551 Recorde Pathway, touche line] to any point assigned in any section, or from any point without the section. 1704 J. Harris Lexicon Technicum I Tangent, of a Parabola, (or other Conick Section, or Geometrical Curve) is a Right Line Drawn, cutting the Ax Produced, and touching the Section in one Point without cutting it. 1706 W. Jones Synopsis Palmariorum Matheseos 221 A Tangent to any point of the Circumference [of a circle] is Perpendicular to the Radius drawn to that Point. 1832 Nat. Philos. (Libr. Useful Knowl.) II. Introd. Mechanics p. xvi If a stone, whirled round in a sling, gets loose at the point A.., it flies off in the direction AB: this line is called a tangent. 1850 T. Baker Rudimentary Treat. Land & Engin. Surv. ii. ii. 171 Find the radii, as BO, CO′; the tangent point, as C′; and the junction point, as C, with the position of the common tangent at the junction point. 1862 W. J. M. Rankine Man. Civil Engin. i. v. 111 The places where permanent marks of the course of the line are chiefly required are on the tangents of curves. 1902 R. E. Middleton et al. Treat. Surveying II. v. 61 Find length of tangent for a 3° curve with central angle of 35° 42′. 1978 J. G. McEntyre Land Surv. Syst. x. 329 An easement curve is a transition curve utilized to increase the degree of curvature gradually from the tangent point to the circular portion of a curve. 1983 J. C. McCormack Surveying Fund. xxi. 384 The tangent distances are taped from the P.I. [sc. point of intersection] down both tangents to locate the P.C. and P.T. extracted from tangentadj.n. < as lemmas
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