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 23
Side ix
... vertices the directrices of the hyperbola . 5224. ( Rev. H. G. Day , M.A . ) - On each of n pillars , whose heights ... vertex to any point is equal to the intercept of the normal on the axis of y ; and ( 5 ) , if a heavy uniform chain ...
... vertices the directrices of the hyperbola . 5224. ( Rev. H. G. Day , M.A . ) - On each of n pillars , whose heights ... vertex to any point is equal to the intercept of the normal on the axis of y ; and ( 5 ) , if a heavy uniform chain ...
Side xi
... vertex , and X the foot of the S draw a circle with radius SA , and from t the circle cutting the tangent at A in V , V ' . Then TV , TV ' will touch the conic . 5478. ( C. B. S. Cavallin . ) - Three straight lines are drawn at random ...
... vertex , and X the foot of the S draw a circle with radius SA , and from t the circle cutting the tangent at A in V , V ' . Then TV , TV ' will touch the conic . 5478. ( C. B. S. Cavallin . ) - Three straight lines are drawn at random ...
Side xii
... vertex of the catenary hanging vertically below the cusp ; prove ( 1 ) that the resolved vertical pressure on the curve per unit is equal to the weight of a unit - length of the chain ; ( 2 ) that the resolved vertical tension is ...
... vertex of the catenary hanging vertically below the cusp ; prove ( 1 ) that the resolved vertical pressure on the curve per unit is equal to the weight of a unit - length of the chain ; ( 2 ) that the resolved vertical tension is ...
Side xiv
... vertices of the same letters are correspond- ing ; and if the four centres of perspective lie in a straight line ; prove that the four perspective lines meet in a point ...... 53 No. 5580. ( S. Roberts , M.A . ) — xiv CONTENTS .
... vertices of the same letters are correspond- ing ; and if the four centres of perspective lie in a straight line ; prove that the four perspective lines meet in a point ...... 53 No. 5580. ( S. Roberts , M.A . ) — xiv CONTENTS .
Side xv
... vertex moves on another straight line , and a second vertex describes a given curve , prove that the locus of the third vertex is a homographic transformation of the given curve . ............... 5586. ( R. E. Riley , B.A . ) -- If a ...
... vertex moves on another straight line , and a second vertex describes a given curve , prove that the locus of the third vertex is a homographic transformation of the given curve . ............... 5586. ( R. E. Riley , B.A . ) -- If a ...
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.