Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 sider |
Inni boken
Resultat 1-5 av 61
Side x
... touch a given line in a given point 33 23 . To describe a circle to touch two given straight lines , one of them in a given point ib . 24 . To describe a circle to pass through a given point and to touch two given lines 34 25 . To ...
... touch a given line in a given point 33 23 . To describe a circle to touch two given straight lines , one of them in a given point ib . 24 . To describe a circle to pass through a given point and to touch two given lines 34 25 . To ...
Side xi
... touch two given circles and a given straight line 47 34 . To describe a circle to touch three given circles . 49 35 . To draw a circular arc through three given points without using the centre 51 CHAPTER III . THE PARABOLA . 36. To ...
... touch two given circles and a given straight line 47 34 . To describe a circle to touch three given circles . 49 35 . To draw a circular arc through three given points without using the centre 51 CHAPTER III . THE PARABOLA . 36. To ...
Side xii
... touch a given line 48 . 49 . • To describe a parabola with given axis and to touch two given lines To describe a parabola to touch two given lines at given points 50. To describe a parabola to touch three given lines , one of them at a ...
... touch a given line 48 . 49 . • To describe a parabola with given axis and to touch two given lines To describe a parabola to touch two given lines at given points 50. To describe a parabola to touch three given lines , one of them at a ...
Side xiii
... touch a given line To describe an ellipse , the directions of a pair of conjugate dia- meters , a tangent and its point of contact being given To describe an ellipse , the centre , two points on the curve and the directions of a pair of ...
... touch a given line To describe an ellipse , the directions of a pair of conjugate dia- meters , a tangent and its point of contact being given To describe an ellipse , the centre , two points on the curve and the directions of a pair of ...
Side 28
... touch in the first case , or of a third line which it must touch or of a point through which it must pass in the second , or such as the length of the radius in either , must be given to make the exact solution of the problem possible ...
... touch in the first case , or of a third line which it must touch or of a point through which it must pass in the second , or such as the length of the radius in either , must be given to make the exact solution of the problem possible ...
Innhold
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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.