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 6
Side 19
... joining two points in the circumference of a circle is called a chord . " " What two points in the circumference ? " asks the logician . Any two points you like to take , " answers the mathematician ; and , so saying , he exposes ...
... joining two points in the circumference of a circle is called a chord . " " What two points in the circumference ? " asks the logician . Any two points you like to take , " answers the mathematician ; and , so saying , he exposes ...
Side 58
... joining 1 , 3 and 2 , 4. We now draw a third chord . Let one of its ends fall between 1 and 2 ( by properly selecting one starting point we can always provide that this shall be so ) . Then the other extremity being taken altogether at ...
... joining 1 , 3 and 2 , 4. We now draw a third chord . Let one of its ends fall between 1 and 2 ( by properly selecting one starting point we can always provide that this shall be so ) . Then the other extremity being taken altogether at ...
Side 61
... joining random points on the circumference , let the random points taken in order be A , B , A ' , B ' , 80 that the intersecting chords are AA ' and BB ' . The circumference is thus divided into 4 random parts , namely the arcs AB , BA ...
... joining random points on the circumference , let the random points taken in order be A , B , A ' , B ' , 80 that the intersecting chords are AA ' and BB ' . The circumference is thus divided into 4 random parts , namely the arcs AB , BA ...
Side 80
... joining ab , ac , circles may be made to circumscribe the quadrilaterals PacB , PaCb ; therefore T- -Pac PBA = PCb = Pab . - - This theorem is generally attributed to Dr. ROBERT SIMSON , the celebrated translator of Euclid's Elements ...
... joining ab , ac , circles may be made to circumscribe the quadrilaterals PacB , PaCb ; therefore T- -Pac PBA = PCb = Pab . - - This theorem is generally attributed to Dr. ROBERT SIMSON , the celebrated translator of Euclid's Elements ...
Side 94
... joining the two other points in which B and C , the tangents at the points where D cuts the curve , meet the curve . II . Solution by J. L. MCKENZIE , B.A. This theorem , like that of Question 4869 , may be proved by the prin- ciple of ...
... joining the two other points in which B and C , the tangents at the points where D cuts the curve , meet the curve . II . Solution by J. L. MCKENZIE , B.A. This theorem , like that of Question 4869 , may be proved by the prin- ciple 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.