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12 feet acting applied arms base beam bear body breadth Cast Iron centre of gravity circle circumference cube root cubic cylinder depth diameter dimensions direction distance divide double driver effect Engine English equal Essay EXAMPLE experiments fall feet long find the area fixed foot force gallons given gives greater gyration half horse power inches inches broad inches diameter Journal length less lever libs lift loaded machine mean measure Mechanics middle minute motion moving Multiply nearly Note parallel pendulum percussion perpendicular pitch plane practical pressure PROBLEM proportion pulley pump quantity quotient radius raised resistance revolutions per minute revolving RULE segment Shafts short side solid space specific gravity square root steam strength stroke suppose surface suspension Table taken teeth Teeth Inches thickness tons triangle velocity vibrations weight wheel whole
Page 56 - ... the length of the plane is to the weight, as the height of the plane is to the power; for the greater the angle, the greater the height.
Page 17 - PROBLEM I. To find the Area of any Parallelogram ,- "whether it be a Square, a Rectangle, a Rhombus, or a Rhomboid. MULTIPLY the length by the perpendicular breadth, or height, and the product will be the area*.
Page 36 - ... so that the mass compounded of the two may sink together. Weigh the denser body and the compound mass, separately, both in water, and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...
Page 22 - Compute the area of the whole circle : then say, as 360 is to the degrees in the arc of the sector, so is the area of the whole circle, to the area of the sector.
Page 42 - ... &c, namely, as the series of the odd numbers, which are the differences of the squares denoting the whole spaces. So that if the first series of natural numbers be seconds of time...
Page 48 - Mechanical Powers, are certain simple instruments, commonly employed for raising greater weights, or overcoming greater resistances, than could be effected by the natural strength without them. These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 20 - To Find the Area of a Circle. RULE 1. — Multiply half the circumference by half the diameter, and the product will be the area.
Page 13 - Paris pound, fioids de marc of Charlemagne, contains 9216 Paris grains; it is divided into 16 ounces, each ounce into 8 gros, and each gros into 72 grains. It is equal to 7561 English troy grains. The English troy pound of 12 ounces contains 5760 English troy grains, and is equal to 7021 Paris grains.
Page 75 - It is obvious that the strength of revolving shafts* are directly as the cubes of their diameters and revolutions; and inversely, as the resistance they have to overcome. Mr. Robertson Buchanan, in his essay on the Strength of Shafts, gives the following data, deduced from several experiments, viz. : That the fly-wheel shaft of a...