Practical Mathematics |
Other editions - View all
Common terms and phrases
algebraic angular velocity answer arithmetic average velocity axis book of Euclid breadth calculate called centimetres centre of area centre of gravity circumference clinure common logarithm constant cos² cosine cubic inches curvature cylinder diameter displacement distance divide draw easy engine equation error Euclid Exercise feet per second figures Find the area following values foot pounds formula Geometry give given height Hence horizontal Horse-power indicator diagram law connecting LECTURE length logarithm means measure method miles per hour multiplied ordinates plane planimeter Plotting on squared position quantities radians per second radius rate of increase represents right angles saucepan scalar scale simple law Simpson's rule sine slide rule slope square feet square inches squared paper steam straight line student Subtracting Suppose tangent things triangle unit vector vertically upwards volume دو
Popular passages
Page 114 - The increase of angular velocity per second. If a wheel starts from rest, and has an angular velocity of 1 radian per second at the end of the first second, its average angular acceleration during this time is 1 radian per second per second. EXERCISES. 1. A (shaft revolves at 800 revolutions per minute. What is its angular velocity in radians per second ? Ans., 83-79. 2. A point is 3,000 miles from the earth's axis, and revolves once in 23 hours 56 minutes 4 seconds. What is its velocity in miles...
Page 74 - Canada, a nation." 2. Show that 72 divided by any rate of interest gives approximately the number of years in -which a sum of money will double itself at that rate of interest. 8 3. Give and prove the rule for converting a recurring decimal to a vulgar fraction. 8 4. Find numerical value of V34 . (5.72) à . (.081)' (3.04) — ' -4- (.061)1 (1.72)
Page 120 - The area of a segment is found by subtracting the area of the triangle formed by the chord and the two radii to its end points from the area of the sector formed by the two radii and the arc.
Page 15 - Ceni.'f 1 Horse-power = 33000 foot-pounds per minute = 746 watts. Volts x amperes = watts. 1 Atmosphere = 14-7 Ib. per square inch = 2116 Ibs. per square foot = 760 mm of mercury = 106 dynes per sq.
Page 120 - The area of a trapezoid is equal to one-half the sum of the parallel sides multiplied by the perpendicular distance between them.
Page 79 - ... is, the slope of the tangent to the curve) at that point (positive if the tangent points upward, and negative if it points downward, moving to the right).
Page 117 - ... course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid, but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid, but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into the vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer. But Euclid for children...
Page 120 - Surely, it is an abominable thing to maintain the present artificial distinction between mensuration and geometry, and to scorn arithmetic, which we know, because Euclid, being ignorant, did not use it." I have tried at times to imagine the beautiful system of mathematics we would have now, if Euclid, Appolonius, and Archimedes could have collaborated on a textbook in general mathematics.
Page 15 - F. 1 Cubic foot of air at 0" C. and 1 atmosphere, weighs '0807 Ib. 1 Cubic foot of Hydrogen at 0° C. and 1 atmosphere, weighs -00557 Ib.
Page 117 - Prove that a straight line drawn parallel to the base of a triangle divides the other sides proportionally.