Mathematical Questions and Solutions, from the "Educational Times": With Many Papers and Solutions in Addition to Those Published in the "Educational Times", Volum 29W. J. C. Miller Hodgson, 1878 |
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Resultat 1-5 av 7
Side xii
... inverse sixth power of the distance , a material particle projected , with the velocity from infinity under its action , from any point external to its mass , in any direction perpendicular to its axis ; show that the particle will ...
... inverse sixth power of the distance , a material particle projected , with the velocity from infinity under its action , from any point external to its mass , in any direction perpendicular to its axis ; show that the particle will ...
Side 47
... inverse in these four cases are respectively m δ K n T г 44433 6431 4070 6543 3270 The negative pedal being the polar reciprocal of the inverse , its characteristics are found by interchanging m and n , 8 and т , к and i ; and it is ...
... inverse in these four cases are respectively m δ K n T г 44433 6431 4070 6543 3270 The negative pedal being the polar reciprocal of the inverse , its characteristics are found by interchanging m and n , 8 and т , к and i ; and it is ...
Side 48
... inverse , or tangential equation of the negative pedal . The double tangents of the inverse are clearly parallel to the axes of the ellipse , and are found by giving to either variable such a value as to make equation ( 1 ) a perfect ...
... inverse , or tangential equation of the negative pedal . The double tangents of the inverse are clearly parallel to the axes of the ellipse , and are found by giving to either variable such a value as to make equation ( 1 ) a perfect ...
Side 49
... the three nodes of the inverse are the lines CI , CJ to the circular points , and the line infinity corresponding to the circular points and the origin . VOL . XXIX . F The line infinity is not an ordinary double tangent , 49.
... the three nodes of the inverse are the lines CI , CJ to the circular points , and the line infinity corresponding to the circular points and the origin . VOL . XXIX . F The line infinity is not an ordinary double tangent , 49.
Side 50
... inverse of the ellipse , in order to show the double tangent and two inflexions corresponding to the node and two cusps of the negative pedal . Mr. HAMMOND remarks that it would be interesting to investigate the forms and properties of ...
... inverse of the ellipse , in order to show the double tangent and two inflexions corresponding to the node and two cusps of the negative pedal . Mr. HAMMOND remarks that it would be interesting to investigate the forms and properties of ...
Vanlige uttrykk og setninger
a₁ angles asymptotes axis centre cerchio chance circumference circumscribed circle coefficient common points common tangents comune conic cos² cubic cubic curve curve cusps directrix distance divide harmonically drawn ellipse envelop equal fixed points focus four common G. S. CARR given Hence hyperbola infinity inflexion inscribed integral intersection inverse J. J. WALKER line at infinity locus negative pedal nine-point circle nodes pairs parabola parallel parallelepiped passes perpendicular plane points of contact polar Prof Professor WOLSTENHOLME prove punti punto question radius random chords random lines random points reciprocal respective probabilities retta semiperimeter sides SIMSON line sin² sin³ Solution by E. B. sphere straight line subtend tangential equation tangents TEBAY theorem triangle ABC triangolo vertex vertical whence WOOLHOUSE
Populære avsnitt
Side 58 - Between 1° and 2". Between 2° and 3°. Between 3° and 4°. Between 4° and S°_ More than 5°..
Side 66 - The chief use of the method, as far as I have yet carried it, is to determine the new limits of integration when we change the order of integration or the variables in a multiple integral, and also to determine the limits of integration in questions relating to probability.
Side 80 - Again, the well-known result that the feet of the perpendiculars on the sides of a triangle from any point on the circumscribing circle are cottinear follows from example 7, p.
Side 106 - ... 32.2 Use a fine needle point to make a pin prick about 0.005 in. (0.13 mm) in diameter at about the center of each of the marks in 32.1. 32.3 Mount the specimen flat with the apparatus of 30.2 and obtain distance measurements with the apparatus of 30.
Side x - Find the centre of a circle cutting off three equal chords from the sides of a triangle. 6. The triangle whose vertices are the three points of contact of the inscribed circle with the sides of a triangle, is always acuteangled.
Side 34 - The enunciation of a Theorem consists of two parts, — the hypothesis, or that which is assumed, and the conclusion, or that which is asserted to follow therefrom. Thus in the typical Theorem, If A is B, then C is D, (i), the hypothesis is that A is B, and the conclusion, that C is D. From this Theorem it necessarily follows that : If C is not D, then A is not B, (ii).
Side 21 - The highest point of the wheel of a carriage, rolling on a horizontal road, moves twice as fast as each of two points in the rim, whose distance from the ground is half the radius of the wheel.