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 6-10 av 23
Side xvi
... intersect within the circle . 5605. ( J. C. Malet , M.A. ) - If a quadric V intersects another quadric U in the planes L and M , and passes through the pole of L with respect to U ; prove that it will also pass through the pole of M ...
... intersect within the circle . 5605. ( J. C. Malet , M.A. ) - If a quadric V intersects another quadric U in the planes L and M , and passes through the pole of L with respect to U ; prove that it will also pass through the pole of M ...
Side 17
... intersect ? " The solutions adopted at the time gave as the answer ; therein agreeing with Miss BLACKWOOD's . But there is another solution which gives as the chance ; and these are the solutions of these problems : - ( A ) " Two random ...
... intersect ? " The solutions adopted at the time gave as the answer ; therein agreeing with Miss BLACKWOOD's . But there is another solution which gives as the chance ; and these are the solutions of these problems : - ( A ) " Two random ...
Side 18
... intersecting is certainly . This is the solution of problem ( B ) , and it is in accordance with Professor CROFTON'S ... intersect the cube ; and ( 4 ) the total number which pass through two opposite faces ; the ratio of these last ...
... intersecting is certainly . This is the solution of problem ( B ) , and it is in accordance with Professor CROFTON'S ... intersect the cube ; and ( 4 ) the total number which pass through two opposite faces ; the ratio of these last ...
Side 20
... intersect within the circle is . If any other mathematicians perceive sufficient reason to adopt the latter as " random chords , " it is no business of mine . 4870. ( By Professor CAYLEY , F.R.S. ) Given three conics passing through the ...
... intersect within the circle is . If any other mathematicians perceive sufficient reason to adopt the latter as " random chords , " it is no business of mine . 4870. ( By Professor CAYLEY , F.R.S. ) Given three conics passing through the ...
Side 24
... intersects these lines . Solution by JACCOBINI VINCENZO , and SIMONELLI RUGGERO . Sieno A e Bi due punti ed u , u ' le due rette date . Si prenda sulla u un punto qualunque N ; per questo e per A e B si faccia passare un cerchio ; esso ...
... intersects these lines . Solution by JACCOBINI VINCENZO , and SIMONELLI RUGGERO . Sieno A e Bi due punti ed u , u ' le due rette date . Si prenda sulla u un punto qualunque N ; per questo e per A e B si faccia passare un cerchio ; esso ...
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.