Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página v
... Plane Curves , which in certain chapters deal with a similar set of problems . But the analytical method of exposition , adopted and handled with such consummate skill by Salmon , is ill suited to bring into relief the useful aspects of ...
... Plane Curves , which in certain chapters deal with a similar set of problems . But the analytical method of exposition , adopted and handled with such consummate skill by Salmon , is ill suited to bring into relief the useful aspects of ...
Página ix
... - " The aforesaid reciprocal relations between the force and funicular polygons have been deduced with- out leaving the plane of the two figures ; but , if the polygons be regarded as projections of lines in space , PREFACE ix.
... - " The aforesaid reciprocal relations between the force and funicular polygons have been deduced with- out leaving the plane of the two figures ; but , if the polygons be regarded as projections of lines in space , PREFACE ix.
Página x
... any rectilinear figure which is a perspec- tive representation of a closed polyhedron with plane faces has a reciprocal figure . In Sept. 1867 I com- municated to the British Association a method of drawing the X PREFACE.
... any rectilinear figure which is a perspec- tive representation of a closed polyhedron with plane faces has a reciprocal figure . In Sept. 1867 I com- municated to the British Association a method of drawing the X PREFACE.
Página 13
... plane ; the point O , will be the centre of two homologous pencils having the two rays which join O to O and to the point of intersection of u with u , in common . These two rays coincide when 0,0 traverses the point of intersection of ...
... plane ; the point O , will be the centre of two homologous pencils having the two rays which join O to O and to the point of intersection of u with u , in common . These two rays coincide when 0,0 traverses the point of intersection of ...
Página 21
... plane polygon as a group of n points in one plane , together with the lines joining those n points two and two ; shew that the total number of sides n ( n - 1 ) .2 in such a polygon is expressed by 9. Defining the complete plane ...
... plane polygon as a group of n points in one plane , together with the lines joining those n points two and two ; shew that the total number of sides n ( n - 1 ) .2 in such a polygon is expressed by 9. Defining the complete plane ...
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Términos y frases comunes
A. W. VERRALL ABCD Assistant Master asymptotes bending-moment bisect BOOK Cambridge centre of gravity chord circle complete quadrangle conjugate diameters conjugate points conjugate rays construct corresponding curve describe diagonals directrix double points draw drawn parallel Edited elastic line ELEMENTARY ellipse equal Fcap foci forces funicular funicular polygon G. E. FASNACHT GEOMETRY GREEK harmonically separated Hence HISTORY homologous homologous points hyperbola Illustrated inflexion-line intercept involute system involution ISAAC TODHUNTER line joining line of action lines PT LL.D load major axis meet opposite sides Owens College pairs of opposite parabola pencil perpendicular pier plane point at infinity point of contact point of intersection polar distance pole polygon Prof Professor punctuated line quadrangle ratio reciprocal rectangular respectively revised School shew straight line tangent traversing TREATISE triangle Trinity College vertical wherefore whilst