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 |
Inni boken
Resultat 1-5 av 19
Side x
... resulting equation . 5436. ( Dr. Booth , F.R.S . ) — Express Σ ( sec A ) and ( cosec A ) in terms of the radii of circles connected with the given triangle ABC . 5437. ( Christine Ladd . ) — If I1 , I2 , I be the points of contact of ...
... resulting equation . 5436. ( Dr. Booth , F.R.S . ) — Express Σ ( sec A ) and ( cosec A ) in terms of the radii of circles connected with the given triangle ABC . 5437. ( Christine Ladd . ) — If I1 , I2 , I be the points of contact of ...
Side xi
... resulting curve . 5462. ( Professor England , M.A . ) - A variable circle passes through two given points , and through one of these pass two given lines ; find the envelope of the chord that joins the other points where the circle ...
... resulting curve . 5462. ( Professor England , M.A . ) - A variable circle passes through two given points , and through one of these pass two given lines ; find the envelope of the chord that joins the other points where the circle ...
Side 18
... result , Mr. WoOLHOUSE determines for any one definite direction , ( 1 ) the number of shot ( or parallel lines ) which , evenly distributed , would pass through the cube supposed fixed : ( 2 ) the number - being part of the preceding ...
... result , Mr. WoOLHOUSE determines for any one definite direction , ( 1 ) the number of shot ( or parallel lines ) which , evenly distributed , would pass through the cube supposed fixed : ( 2 ) the number - being part of the preceding ...
Side 20
... results derived from it , should be regarded as special . My meaning is more fully stated in the Note on Random Lines ( Reprint , Vol . X. , p . 33 ) . It would seem , however , that Colonel CLARKE had written his remarks without giving ...
... results derived from it , should be regarded as special . My meaning is more fully stated in the Note on Random Lines ( Reprint , Vol . X. , p . 33 ) . It would seem , however , that Colonel CLARKE had written his remarks without giving ...
Side 21
... which the carriage is travelling when the dirt thrown from the rim of the wheel to the greatest height attains a given level , explaining the two roots of the resulting equation . Solution by J. J. WALKER , M.A .; Prof. EVANS 21.
... which the carriage is travelling when the dirt thrown from the rim of the wheel to the greatest height attains a given level , explaining the two roots of the resulting equation . Solution by J. J. WALKER , M.A .; Prof. EVANS 21.
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.