A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 páginas |
Dentro del libro
Resultados 1-5 de 86
Página xiv
... Vertices of a given one , 236 119. Theorem . Corollaries , · Note , . · 118. Relations between the Sides of the two , 120. Inversion of a System of Four Points . Particular Cases . 121. Relations between the sides of ABCD and A'B'C'D ...
... Vertices of a given one , 236 119. Theorem . Corollaries , · Note , . · 118. Relations between the Sides of the two , 120. Inversion of a System of Four Points . Particular Cases . 121. Relations between the sides of ABCD and A'B'C'D ...
Página 1
... vertices of a triangle are A , B , C , and the opposite sides a , b , c . By AB is meant the distance from A to B measured from A towards B , and by BA the same distance measured in the opposite direction . Thus AB = == - BA or AB + BA ...
... vertices of a triangle are A , B , C , and the opposite sides a , b , c . By AB is meant the distance from A to B measured from A towards B , and by BA the same distance measured in the opposite direction . Thus AB = == - BA or AB + BA ...
Página 13
... vertices to the other circle we have at1 + btq + cts = 0 . ] 3. Feuerbach's Theorem . - The nine points circle of a triangle touches the in- and ex - circles . [ The middle points of the sides and the in - circle are four circles ...
... vertices to the other circle we have at1 + btq + cts = 0 . ] 3. Feuerbach's Theorem . - The nine points circle of a triangle touches the in- and ex - circles . [ The middle points of the sides and the in - circle are four circles ...
Página 20
... vertices ; and generally , When all the sides but one of a polygon of any order are given in magnitude , the area is a maximum when the circle on the closing side as diameter passes through the remaining vertices . † [ Proof as above ...
... vertices ; and generally , When all the sides but one of a polygon of any order are given in magnitude , the area is a maximum when the circle on the closing side as diameter passes through the remaining vertices . † [ Proof as above ...
Página 22
... vertices on the opposite sides . [ For the joining lines are equally inclined to sides on which they intersect ( Euc . III . 21 ) . ] 2. The polygon of least perimeter that can be inscribed in a given one is that whose angles are ...
... vertices on the opposite sides . [ For the joining lines are equally inclined to sides on which they intersect ( Euc . III . 21 ) . ] 2. The polygon of least perimeter that can be inscribed in a given one is that whose angles are ...
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Otras ediciones - Ver todas
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Sin vista previa disponible - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Sin vista previa disponible - 2018 |
Términos y frases comunes
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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