## The Mechanic's Calculator: Comprehending Principles |

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angle applied axis base beam body bottom breadth called carried cast centre circle circumference column common contained cube cubic cylinder denominator depth describe diameter difference direction distance divided draw effect engine equal fall feet figure fixed fluid foot force fraction give given gravity greater half heat hence horses inches increase iron length less lever machine marked means measure mechanic minute motion move multiplied nearly necessary opening parallel perpendicular pinion pipe piston plane pounds pressure principle proportion pump quantity quotient radius raised resistance result root round rule shaft side simple space square steam strength stroke supposed surface taken teeth term thickness third tons triangle tube turns valve velocity weight wheel whole

### Popular passages

Page 4 - Rule. — Multiply the whole number by the denominator of the fraction, add the numerator to the product and place the denominator under the result.

Page 2 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 122 - 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 73 - For the convenience of sliding, there is usually a hole in the middle of the triangle, as may be seen in the figure. 30. By means of these simple instruments many very useful geometrical problems may be performed. Thus, to draw a line through a given point parallel to a given line. Lay the triangle on the paper so that one of its sides will coincide...

Page 56 - Let ABCD, ABEF, be two parallelograms, and ABC, ABF, two triangles, standing on the same base AB, and between the same parallels AB, DE ; then will the parallelogram ABCD be equal to the parallelogram ABEF, and the triangle ABC equal to the triangle ABF.

Page 50 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.

Page 28 - Reduce the two numbers which have different names from the answer sought, to the lowest denomination named in either of them. II. Set the number which is of the same kind with the answer sought in the third place, and then consider from the nature of the question whether the answer will be greater or less than the third term. ^ III. When the answer is greater than the third term, write the least of the remaining numbers in the first place, but when it is less place the greater there.

Page 293 - The velocity in feet per minute should be ninety-eight times the square root of the length of the stroke in feet. The area of the steam passages will be as 4800 is to the velocity in feet per minute, so is the area of the cylinder to the area ofthe steam passage.

Page 58 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.

Page 50 - Equidistant from the centre of a circle, when perpendiculars drawn to them from the centre are equal. 60. And the right line on which the Greater Perpendicular falls, is said to be farther from the centre. 61. An Angle in a segment is that which is contained by two lines, drawn from any point in the arc of the segment, to the two extremities of that arc. 62. An Angle on a segment, or an arc, is that which i...