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Algebra applied Association axis base body centre chord circle common conic constant construction corresponding curve described determined diameter direction displacement distance divided draw drawn Edited elementary elements ellipse equal equation example expression figures fixed follows forces four functions Gazette Geometry given gives Hence hyperbola integral interest intersect joining length locus London Mathematical means meet method motion moving Note obtained opposite original pair parabola parallel passes perpendicular plane positive present problems Prof Professor projection proof properties prove question radius ratio reference relation relative remainder represented respectively result right angles roots School sides similar Similarly Solution space sphere square straight line suppose surface tangent theorem theory touching triangle velocity vertical
Page 76 - If a moving point possess simultaneously velocities which are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, they are equivalent to a velocity which is represented in magnitude and direction by the diagonal of the parallelogram passing through the point.
Page 58 - Variable velocity is measured at any instant by the space which would be passed over in a unit of time, if the body moved during that unit of time at the same rate that it had at the instant in question.
Page 158 - Council at the time of his death. He was an active member of the Tulsa Geological Society (1920).
Page 6 - And here it is to be observed, on the other hand, that such an analytical generalization may lead into new regions that might not have been discovered at all by methods which kept closer to observation. The co-ordinates of a dynamical system may have...
Page 147 - Each branch of this wide subject is treated with brevity, it is true, and yet with amazing completeness considering the size of the volume. So earnest and reliable an effort deserves success.
Page 107 - Miss CA SCOTT. On Cayley's theory of the absolute. The bearing of this paper is to show how simply and naturally Cayley's theory of the absolute follows from a small number of elementary geometrical conceptions. Projective and metric properties in th
Page 176 - Express \(x + y + z) in terms of a, 6, c.] 4. If X, Y, Z are points on the sides of the triangle ABC, such that BX|XC = CY|YA = AZ|ZB = r, and if ABC, XYZ are similar, then either r — 1 or both triangles...
Page 24 - Répétiteur à l'École Polytechnique. — Cours de Mécanique à l'usage de la classe de Mathématiques spéciales, entièrement conforme au dernier programme d'admission a l'École Polytechnique.