A Treatise on Practical Plane and Solid Geometry: Containing Solutions to the Honours Questions Set at the Examinations of the Science and Art Department (1887-1896) Inclusive

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Page 60 - If we consider one arm rotating under uniform conditions, the sum of the moments of all the forces, acting on the roller and arm, about the point of support O will be zero (Fig.
Page 39 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Page 10 - Two circles touch at A ; T is any point on the tangent at A; from T are drawn tangents TP, TQ to the two circles. Prove that TP = TQ. What is the locus of points from which equal tangents can be drawn to two circles in contact ? tEx.
Page 14 - Theorems, the first beiug that of eqiml triangles already referred to, and the second that " the areas of similar figures are to one another as the squares on their similar sides
Page 170 - A , B, C, D have no relations to one another, but each one bears a definite relation to each corresponding image, A to a, B to b, C to c, D to d, and so with the rest of the series. Sensation A will arouse image a which in turn may arouse the whole train of images, b, c, d, but A cannot give rise to any of the sensations B, C, D. The image series a...
Page 168 - An ellipse is a closed curve traced out by a point moving in such a way, that the sum of its distances from two fixed points, called the foci, is always the same.
Page 84 - Rz, and join the point / with the center of each abutment. By drawing lines from the extremities of the load line...
Page 2 - Ex. 48 on page 260 we know that the locus of points whose distances from A and B are in a given ratio is the circle that has QR for diameter.
Page 94 - A, the algebraic sum of the moments of all the forces to the left of the section is zero, since there are no forces to the left.
Page 56 - Before he began to deal with light, he was intimately acquainted with the laws of elastic collision, which all of you have seen more or less perfectly illustrated on a billiard-table. As regards the collision of sensible masses, Newton knew the angle of incidence to be equal to the angle of reflection, and he also knew that experiment, as shown in our last lecture, had established the same law with regard to light.

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