解析几何中的英文单词和短语

1、解析几何中的英文单词和短语解析几何中的英文单词和短语解析几何Analytic Geometry第一章矢量与坐标Chapter 1Vectorsand Coordinates标量scalar矢量vector坐标coordinate空间apace系统ays代数algebraftquantity计算calculation力学echanics物理学physics解solutionconcept长度length面积area体积volume唯一displacemen t大小magnitude方向dirtction线段line又向线段line sexnent始点initied point终点teroinal

2、 point模module等于equal to零zero平行四边形parallelograa邻边adjacent side折线broken line法则rule共线collinear共面coplanar加法运算additive operation三角形trianflc对角线diagonal平移translation交换徉law of comsutrtion结合律law of association分配率law of distribution乘法zsultiplica tion分解decomposition系数coefficient基底base等式quality三棱形triangular pri

3、sx六面体hexahedron平分线bisector连线connecting line统性相关linear dependence线性无关linear indeptndtnet线性组合linear combination标架from#直角right angle仿射affine左旋/手标架left-handed frane右旋/手标架righthand“ frane空间矢最space vtetor笛卡尔坐标系cartesian coordinasystra第一象限first quadrant分母denominator分子molecular仿射坐标系affine coordinasys坐标平面coo

4、rdinatt plane坐标轴coordinate axia定点vertex重心barycen tx*中点median point中线median line射影projection射影矢危projective vector射线ray垂宜perpendicularity夹角included angle余弦cosine方向余弦direction cosine正弦sine反交换anti-c ommutativc反矢量inverse vctor垂足pedal两倍two-fold混合积mixed product数性积/内积inner product绝对值absolute value单位矢量unit v

5、ector手azero vector平方square平方和sue of squares高height高线altitud距离distance分量cocponent左手系left-handed aystea右手系righthandd 3yst«m棱/边d“正数positive number复敷cooplex number符号symbol初等几何】eontary geometry四面体rahedron矢徵积cross product三車向最基triple vector produot实数域real number field克拉默法则Craaer rule拉格伽日恒等式Lagrange id

6、entity第二章轨迹与方程Chap ter 2 Loci andEquations轨迹locus方程quation平面plant实数real number对应correspondence曲线curve曲面surface宜线straight lint充要条件（当且 仅当if and only if图/图标grph圆circle半径radius公式formula原点origin圆心center of circle反比proportion by inversion参数parameter区间interval对称的symmetric定点fixed point准方程quasi-quation一次方程li

7、near equation法矢量normal vector虫合coincidence交朋intrsection angle交点intersection point坐标系coordinate systex轴axis有向角directed anl«旋轮线/摆级cycloid拱形arch尖点cusp切钱tangent line切点/触点tangent point渐进切线asymptotic tangent渐伸线/切展线involvent星形统asteroid初等函数ltoentary funotion11ip斜率slope等价equivalence抛物线parabola心形线cardioi

8、d抛物柱面parabolic cylinder虚曲面iooaginary surface二次方程quadratic equation一元二次方程quadratic quation with one variable配方cosiplete square球/球面sphere岡柱面cylinder椭圆柱面elliptic cylinder双曲柱面hyperbolic cylinder母线generators / generatrix准线directrix质点particle角速度anular velocity维维安尼曲线viviani curve螺旋线spiral螺旋面spiral surface射

9、够柱面projective cylinder右手坐标系righthandd coordina®yateacone岡锥面cone surface因式/因子factor因式分解factoring联立方程oioultaneous <quationo方位azimuth截距式intercept form常数constant垂线vertical Um径矢radius of vector异号opposite sign对边opposite side方向矢址direction vector离差dispersion相交intersection不等式inequality二面角interfacial

10、an;le相关correlate标准方稈standard equation方向数direction nuiaber射影平面projective plane公垂统common perpendicular宜线束pencil of lints平面束plan, pencil / pencil of plan”平行平面束pencil of parallel planes平行平面parallel planes平行切线parallel tangents平行移动parallel translation第四章柱面、锥面、旋转曲面与二次曲面第三章平面与空间直线Chapter 3 Planes and Straig

11、ht Lines in SpaceChapter4Cylinders, Cone Surfaces, RotationSurfacesandQuadratic Surfaces二次曲面quadratic surface旋转曲面rotation surface齐次方程homogeneous equation直线族faaily of Hraight lin”二次锥面quadratic cone虚锥面imaginary cone实轴r«al axis虚轴imaginary axis环面torua椭球面ellipsoid旋转椭球面ellipsoid of revolution旋转抛物面par

12、aboloid of revolution单叶univalent旋转轴tion axis定宜线fixed lint主平面principal plane主轴principal axis对称平面ayncetry plane长半轴aeni-major axis短半轴atni-minor axis虚半轴imaginary长方体cuboid长轴major axis短轴minor axis端口 /线/面section主截线/面principal section分割/切断segoentation載割cutting曲面图形furface chart双曲面hyperboloid单叶双曲面hyperboloid

13、of one aheet双曲统hyperbola单叶旋转双曲面hyperboloid of one sheet of revolution双叶双曲面hyperboloid of two she-ts旋转双叶双曲面hyperboloid of tiro shee ts of revolution双曲抛物面hyperbolic paraboloid马報曲面anticlastic surface无心二次曲面quadratic surface without c«n中心center对称中心8ymmetrie cen对称轴symmetric axis焦点focus矩形rectangle弧arc

14、貫纹曲面ruled surface第五章二次曲线的一般理论Chapter 5 GeneralTheory of QuadraticCurves二次曲线quadratic curve虚数imaginary number虚元素imaginary element虚点imaginary point共純虚点conjugate imaginary points共郭虚数conjugaimaginary number虚矢量imaginary line虚系数imaginary coefficient偏导数partial derivative复点coinplcx point复矢最complex vtotor对朋元

15、素diagonal tlemnt行列式determinant行row列column弦chord椭圆型elliptic type抛物型parbolic typ双曲型hyperbolic type渐进方向asynptotic direction虚方向imaginary dirction中心宜线cenline中心二次曲线quadratic curve with无心二次曲线quadratic curve vithout center中心曲线central curve无心曲线noncentral curve正常点proper point切线方程tangenequation恒等式idtntity奇异点/奇

16、点singular point中心轨迹aidpoint chords主方向principal direction主直径principal diamet"共轨方向conjugate direction共純宜径conjugate diameter共毙弦conjugate chord待征方程characttristic equation待征根charactexistio value坐标变换transformation of coordinat”判别式discriminant旋转轴rotation axis虚圆imaginary ellipse二次项quadratio element旋转介angle of rotation可逆变换inverae tranifoirniationcotangent成比例proportional增广矩阵ausnentd matrix共範虑宜线conjusate imaginary lint不变章invariant多项式polynomial三角函数trigonometric function柯西-施瓦茨不 等式Cauch厂Schwarz inequality第