Constructive Geometry of Plane Curves: With Numerous ExamplesMacmillan and Company, 1885 - 374 sider |
Inni boken
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Side ix
... proportional to three given lines 3 . 4 . To divide a line of given length similarly to a given divided line To draw a line through a given point and through the inter- section of two given lines 5 . To find the geometric mean between ...
... proportional to three given lines 3 . 4 . To divide a line of given length similarly to a given divided line To draw a line through a given point and through the inter- section of two given lines 5 . To find the geometric mean between ...
Side 5
... means of a pair of dividers . ] Let BF and DH intersect in K. The bisector ... proportional to three given lines AB , CD , EF , or to find a line of such ... proportionals depend on the construc- tion of similar triangles . Draw any two ...
... means of a pair of dividers . ] Let BF and DH intersect in K. The bisector ... proportional to three given lines AB , CD , EF , or to find a line of such ... proportionals depend on the construc- tion of similar triangles . Draw any two ...
Side 7
... mean between two given lines AB , CD , i.e. to find a line of length ( 1 ) such that AB : 1 :: 7 : CD , or that the ... proportional or geometric mean . For , since the angle in a semicircle is a right- angle ( Euclid III . 31 ) , .. the ...
... mean between two given lines AB , CD , i.e. to find a line of length ( 1 ) such that AB : 1 :: 7 : CD , or that the ... proportional or geometric mean . For , since the angle in a semicircle is a right- angle ( Euclid III . 31 ) , .. the ...
Side 8
... mean proportion , i.e. to find a point ( F ) in a line AB such that the whole line AB the greater segment ( BF ) :: BF : the lesser segment ( AF ) , or that the rectangle contained by the whole line and the lesser segment is equal in ...
... mean proportion , i.e. to find a point ( F ) in a line AB such that the whole line AB the greater segment ( BF ) :: BF : the lesser segment ( AF ) , or that the rectangle contained by the whole line and the lesser segment is equal in ...
Side 10
... mean proportional between the two on opposite sides of it , in other words the series is in geometrical progression . Since OB = r . OA , the above expression for OB2 becomes r2 . OA = OC , and so also p3 . OA = OD and so on . Very ...
... mean proportional between the two on opposite sides of it , in other words the series is in geometrical progression . Since OB = r . OA , the above expression for OB2 becomes r2 . OA = OC , and so also p3 . OA = OD and so on . Very ...
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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.