## A Course of Mathematics: In Two Volumes. For the Use of Academies as Well as Private Tuition, Volume 2 |

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absciss altitude angle axis ball base body breadth centre of gravity circle circumference column cone consequently Corol Cosine Cotang cube cubic cubic foot curve cycloid cylinder denote density descending diameter direction distance divided draw drawn ellipse equal equation equilibrio ExAM feet figure find the area find the fluent fluid foot force frustum given fluxion half Hence hyperbola inches inclined plane length logarithms measure motion moving multiply nearly ordinate parabola parallel parallelogram pendulum perpendicular pressure PROBLEM proportional PROPOSITION quantity QUEST radius ratio rectangle resistance right-angled rule SCHOLIUM secant segment side sine solid space specific gravity square supposing surface Tang tangent theor THEOREM theref trapezium triangle variable velocity vibration weight whole yards

### Popular passages

Page 56 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.

Page 165 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.

Page 38 - How many cubic feet in a block of marble, of which the length is 3 feet 2 inches, breadth 2 feet 8 inches, and height or thickness 2 feet 6 inches ? Ans.

Page 80 - WORK. — Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.

Page 203 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...

Page 239 - In turning a one-horse chaise within a ring of a certain diameter, it was observed that the outer wheel made two turns, while the inner made but one : the wheels were both 4 feet high •, and supposing them fixed at the distance of 5 feet asunder on the axletree, what was the circumference of the track described by the outer wheel ? Ans. 62-33 feet. QUEST. 12. What is the side of that equilateral triangle, whose area cost as much paving at 8d.

Page 247 - Then say, As the weight lost in water, Is to the whole weight, So is the specific gravity of water, To the specific gravity of the body.

Page 322 - ... and the relation between these three quantities being universally expressed by this equation m = qf, it follows that, by means of it, any one of the three may be expelled out of the calculation, or else brought into it. Also, the momentum, or quantity of motion in a moving body, is qv, the product of the velocity and matter. It is also to be observed, that the theorems equally hold good for the destruction of motion and velocity, by means of retarding forces, as for the generation of the same,...

Page 165 - A LEVER is any inflexible rod, bar, or beam, which, serves to raise weights, while it is supported at a point by a fulcrum or prop, which is the centre of motion. The lever is supposed to be void of gravity or weight, to render the demonstrations easier and simpler.