Synonyms for Point of intersection:

Famous quotes with Point of intersection

• If we are a metaphor of the universe, the human couple is the metaphor par excellence, the point of intersection of all forces and the seed of all forms. The couple is time recaptured, the return to the time before time.

  Octavio Paz
• The discovery of Hippocrates amounted to the discovery of the fact that from the relation (1)it follows thatand if , [then , and]The equations (1) are equivalent [by reducing to common denominators or cross multiplication] to the three equations (2)[or equivalently...and the solutions of Menaechmus described by Eutocius amount to the determination of a point as the intersection of the curves represented in a rectangular system of Cartesian coordinates by any two of the equations (2). Let AO, BO be straight lines placed so as to form a right angle at O, and of length respectively. Produce BO to and AO to . The solution now consists in drawing a parabola, with vertex O and axis O, such that its parameter is equal to BO or , and a hyperbola with O, O as asymptotes such that the rectangle under the distances of any point on the curve from O, O respectively is equal to the rectangle under AO, BO i.e. to . If P be the point of intersection of the parabola and hyperbola, and PN, PM be drawn perpendicular to O, O, i.e. if PN, PM be denoted by , the coordinates of the point P, we shall havewhenceIn the solution of Menaechmus we are to draw the parabola described in the first solution and also the parabola whose vertex is O, axis O and parameter equal to . The point P where the two parabolas intersect is given bywhence, as before,

  Thomas Little Heath
• The trisection of an angle was effected by means of a curve discovered by Hippias of Elis, the sophist, a contemporary of Hippocrates as well as of Democritus and Socrates. The curve was called the because it also served (in the hands, as we are told, of Dinostratus, brother of Menæchmus, and of Nicomedes) for squaring the circle. It was theoretically constructed as the locus of the point of intersection of two straight lines moving at uniform speeds and in the same time, one motion being angular and the other rectilinear.

  Thomas Little Heath

Related words & questions

Related words: intersection point, intersection of two lines, point of intersection between two lines, intersecting points, points of intersection, which point is the intersection, get the point of intersection

Related questions:

What is the point of intersection?

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