Geometry of Position |
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Page 9
... vertical through d is termed the polar of point or pole b , being the locus of intersection of pairs of tangents drawn past opposite ends of chords traversing the pole b in the circle whose radius is O'c . That the polar dd ' is vertical ...
... vertical through d is termed the polar of point or pole b , being the locus of intersection of pairs of tangents drawn past opposite ends of chords traversing the pole b in the circle whose radius is O'c . That the polar dd ' is vertical ...
Page 22
... vertical lines , BF a third ver- tical line bisecting the distance AD between the other two in B , C a fourth point on AD ; to locate an isosceles triangle with its feet E and G on AE and DG and its apex at C , so that the base EG may ...
... vertical lines , BF a third ver- tical line bisecting the distance AD between the other two in B , C a fourth point on AD ; to locate an isosceles triangle with its feet E and G on AE and DG and its apex at C , so that the base EG may ...
Page 97
... vertical line OD in O , and if DC , D , C1 , DC , etc. , be a series of parallel lines inclined to the horizon , meeting the vertical OD in D , D1 , D2 , etc. , and the oblique OC in C , C1 , C2 , etc. , shew that , if the series of ...
... vertical line OD in O , and if DC , D , C1 , DC , etc. , be a series of parallel lines inclined to the horizon , meeting the vertical OD in D , D1 , D2 , etc. , and the oblique OC in C , C1 , C2 , etc. , shew that , if the series of ...
Page 120
... vertical forces applied to a girder . If in the same case the funicular be an ellipse or a parabola , the line of forces is unlimited ; for , if polar rays be drawn from the pole of the line of forces parallel to all possible tangents ...
... vertical forces applied to a girder . If in the same case the funicular be an ellipse or a parabola , the line of forces is unlimited ; for , if polar rays be drawn from the pole of the line of forces parallel to all possible tangents ...
Page 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.
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Common terms and phrases
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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