A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 σελίδες |
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Σελίδα 3
... draw four parallels to the rays of the pencil , we in general obtain a triangle and a transversal to its sides ... drawn INTRODUCTION . 3 GO Anharmonic Ratios,
... draw four parallels to the rays of the pencil , we in general obtain a triangle and a transversal to its sides ... drawn INTRODUCTION . 3 GO Anharmonic Ratios,
Σελίδα 4
... drawn across a pencil is cut in a constant anharmonic ratio ; or any pencil and transversal to it are Equianhar- monic . The foot of the perpendicular from a point on a line is the Projection of the point on the line , and the per ...
... drawn across a pencil is cut in a constant anharmonic ratio ; or any pencil and transversal to it are Equianhar- monic . The foot of the perpendicular from a point on a line is the Projection of the point on the line , and the per ...
Σελίδα 6
... draw the line parallel to one of the sides , etc. ] 10. If parallels be drawn through any point O to the four lines in Ex . 4 , the relation may be written sin ẞ ' sin y sin ẞ sin y + + sin y ' sin a ' , sin a ' sin ẞ ' sin y sin a sin ...
... draw the line parallel to one of the sides , etc. ] 10. If parallels be drawn through any point O to the four lines in Ex . 4 , the relation may be written sin ẞ ' sin y sin ẞ sin y + + sin y ' sin a ' , sin a ' sin ẞ ' sin y sin a sin ...
Σελίδα 7
... drawn to either common point . * ( Euc . III . 19. ) If the circles touch Internally this angle is 0 ° , if Externally 180 ° . They are said to intersect Orthogonally when the angie is 90 ° . The Angle made by a line and circle is that ...
... drawn to either common point . * ( Euc . III . 19. ) If the circles touch Internally this angle is 0 ° , if Externally 180 ° . They are said to intersect Orthogonally when the angie is 90 ° . The Angle made by a line and circle is that ...
Σελίδα 8
... drawn . According as the X A X T chord AX and angle TAX diminish in magnitude X approaches the tangent . When X is indefinitely near to A , AX is said to have reached its limiting position and may then be considered to coincide with the ...
... drawn . According as the X A X T chord AX and angle TAX diminish in magnitude X approaches the tangent . When X is indefinitely near to A , AX is said to have reached its limiting position and may then be considered to coincide with the ...
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Άλλες εκδόσεις - Προβολή όλων
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD bisected bisector Brocard points centre of similitude centres of perspective circum-centre circum-circle coaxal system coincide common tangents concurrent concurrent lines conic constant corresponding cyclic polygon cyclic quadrilateral denote diagonals diameter distances equal equation equianharmonic ex-circles fixed point given circles hence hexagon in-circle infinity inscribed inverse points Isogonal Conjugates isosceles limiting points line at infinity lines joining locus maximum mean centre median median triangle meet middle point minimum multiples opposite sides orthocentre orthogonally pair of inverse parallel pedal triangle perpendiculars point of intersection points of contact polar polygon prove r₁ radical axis radius reciprocal rectangle right angles segments sides of ABC similar triangles Similarly Simson lines species squares subtend symmedian point system of points tangents Theorem transversal triangle ABC triangle PQR vertex vertical angle
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