A Course of Mathematics in Two Volumes for the Use of Academies as Well as Private Tuition
J. Johnson; W.J. and J. Richardson, 1807
Vol. 1 is the 6th ed. published in 1810. Vol. 2 is the 5th ed. published in 1807. The book contains three signatures of Robert Hoddle, all dated 1812 and mathematical calculations in Hoddle's hand on the front end paper and fly leaf.
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acting altitude angle axis ball base becomes body bottom breadth centre centre of gravity circle column common consequently constant contained Corol curve denote density descending described determine diameter difference direction distance divided draw drawn earth equal equation Exam EXAMPLES expression falling feet figure find the fluent flowing fluent fluid fluxion follows foot force given gives gravity greatest half Hence inches increased latter length less means measure motion moving multiply namely nature nearly parallel pendulum perpendicular plane position pressure PROBLEM proportion PROPOSITION quantity QUEST radius ratio rectangle resistance rule side sine solid space specific gravity square supposing surface taken tangent THEOREM thickness triangle variable velocity weight whole yards
36 ページ - 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.
145 ページ - 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.
18 ページ - 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.
64 ページ - 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.
183 ページ - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
201 ページ - 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.
201 ページ - 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.
268 ページ - ... 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,...
145 ページ - 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.