Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página viii
... load , ultimately depends upon the ordinary principles of the subject . The demonstration of the perspectivity of two ranges drawn in any direction from a point on a conic ( Figs . 13-17 ) was originally published by the author in ...
... load , ultimately depends upon the ordinary principles of the subject . The demonstration of the perspectivity of two ranges drawn in any direction from a point on a conic ( Figs . 13-17 ) was originally published by the author in ...
Página 121
... B Fig . 78 . 8 8910 9 10 taken to represent an elliptic arch , the other a hyperbolic chain . We assume the vertical forces to consist of loads distributed over the arch or chain , which are divided III 121 RECIPROCAL FIGURES.
... B Fig . 78 . 8 8910 9 10 taken to represent an elliptic arch , the other a hyperbolic chain . We assume the vertical forces to consist of loads distributed over the arch or chain , which are divided III 121 RECIPROCAL FIGURES.
Página 122
... load , inasmuch as the area of the lamina represents the total load . But , as already shewn , these loads or forces are also proportional to the segments cut off by the rays of a pencil projecting the points of con- tact of the ...
... load , inasmuch as the area of the lamina represents the total load . But , as already shewn , these loads or forces are also proportional to the segments cut off by the rays of a pencil projecting the points of con- tact of the ...
Página 123
... load ( § 50 ) ; whilst , if the polar ray 09-10 or Oz be drawn parallel to the completing side 9'10 ' of the funicular polygon , it will divide the line of forces into two parts , one of which ( iz ) represents the reaction 9 k m n р ...
... load ( § 50 ) ; whilst , if the polar ray 09-10 or Oz be drawn parallel to the completing side 9'10 ' of the funicular polygon , it will divide the line of forces into two parts , one of which ( iz ) represents the reaction 9 k m n р ...
Página 126
... loads ( 1-9 ) and the direction only of the reaction ak ; to find the magnitude of ak , the direction and magnitude of the other reaction jk , and to construct the stress - diagram . First Solution . - By means of a funicular drawn ...
... loads ( 1-9 ) and the direction only of the reaction ak ; to find the magnitude of ak , the direction and magnitude of the other reaction jk , and to construct the stress - diagram . First Solution . - By means of a funicular drawn ...
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Términos y frases comunes
A. S. WALPOLE A. W. VERRALL Assistant Master BEGINNERS bending-moment bisect Cambridge centre of gravity chord circle Clifton College complete quadrangle conic conjugate points conjugate rays corresponding curve double points draw drawn parallel Edited elastic line ELEMENTARY TREATISE ellipse ENGLISH equal Fcap Fellow of Trinity foci forces funicular G. E. FASNACHT GEOMETRY given GRAMMAR GREEK HISTORY homologous points hyperbola Illustrated infinity intercept Introduction and Notes involution ISAAC TODHUNTER J. P. MAHAFFY J. P. POSTGATE LATIN Lecturer line of action Litt LL.D load M.A. BOOK M.A. Cr MACMILLAN'S Mathematics meet Owens College pairs of opposite parabola pencil perpendicular perspective plane point of contact point of intersection polar distance pole preparation PRIMER Prof Professor projective punctuated line quadrangle ratio reciprocal respectively revised School shew span straight line tangent Translated triangle Trinity College University University of Cambridge vertical wherefore
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