Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 sider |
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Resultat 1-5 av 35
Side xiii
... focus , a tangent with its point of contact and a second point on the curve being given . 126 77 . To describe an ellipse , a focus , a tangent and two points on the curve being given 127 78 . • To describe an ellipse , a focus , a ...
... focus , a tangent with its point of contact and a second point on the curve being given . 126 77 . To describe an ellipse , a focus , a tangent and two points on the curve being given 127 78 . • To describe an ellipse , a focus , a ...
Side xv
... focus , tangent with its point of contact and a second point on the curve being given . ib . 107. To describe an hyperbola , a focus , a tangent and two points being given 176 108. To describe an hyperbola , a focus , two tangents and a ...
... focus , tangent with its point of contact and a second point on the curve being given . ib . 107. To describe an hyperbola , a focus , a tangent and two points being given 176 108. To describe an hyperbola , a focus , two tangents and a ...
Side 17
... focus is only possible when both points of a pair are on the same side of the centre , and hence two cases arise , 1st , in which one pair of points lies within the other , and 2nd ... second pair of points draw a parallel line Bd . Make acab ...
... focus is only possible when both points of a pair are on the same side of the centre , and hence two cases arise , 1st , in which one pair of points lies within the other , and 2nd ... second pair of points draw a parallel line Bd . Make acab ...
Side 59
... second line , one only , namely posi- tion , is really given , and the two lines together are therefore equivalent to three conditions only . Similarly focus and axis , or vertex and axis make only three conditions since the position of ...
... second line , one only , namely posi- tion , is really given , and the two lines together are therefore equivalent to three conditions only . Similarly focus and axis , or vertex and axis make only three conditions since the position of ...
Side 61
... focus and proceeding as in the last problem . It can however be solved ... second ) in points of the curve as B , C , D. As the curve recedes from the ... FOCUS , AXIS AND POINT . AM . THE PARABOLA . 61 37 To draw a parabola with given ...
... focus and proceeding as in the last problem . It can however be solved ... second ) in points of the curve as B , C , D. As the curve recedes from the ... FOCUS , AXIS AND POINT . AM . THE PARABOLA . 61 37 To draw a parabola with given ...
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Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |
Constructive Geometry of Plane Curves: With Numerous Examples Thomas Henry Eagles Uten tilgangsbegrensning - 1885 |
Vanlige uttrykk og setninger
AC² anharmonic ratio asymptotes auxiliary circle bisects the angle CA² CB² centre point chord of contact circle centre circles touching cone conic conic section conjugate diameters conjugate points constant construction corresponding curvature curve being given cutting cutting CB describe a circle describe an ellipse describe an hyperbola determined directrix draw a parabola drawn equal F draw foci focus F given circle given Fig given lines given point given tangent harmonic harmonic mean homographic involution latus rectum length line joining locus major axis mean proportional opposite sides ordinate parallel pass pencil perpendicular point of contact polar pole PROBLEM Prop radical axis radius right angle second focus segments shew shewn similar triangles Similarly tangent PT three points transverse vertex vertices
Populære avsnitt
Side 28 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 28 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 303 - AB describe a segment of a circle containing an angle equal to the given angle, (in.
Side 32 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Side 99 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Side 13 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Side 40 - Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line.