Workshop Mathematics, Parte1

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Macmillan, 1900
 

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Página 102 - Of four-sided figures, a square is that which has all its sides equal, and all its angles right angles.
Página 1 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Página 43 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Página 86 - MEASURE. 10 millimetres = 1 centimetre. 10 centimetres = 1 decimetre. 10 decimetres = 1 metre. 10 metres = 1 decametre. 10 decametres = 1 hectometre. 10 hectometres = 1 kilometre.
Página 44 - Quantities are said to be in continued proportion when the first is to the second, as the second is to the third, as the third to the fourth ; and so on.
Página 11 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Página 127 - RULE. — From half the sum of the three sides, subtract each side separately; multiply the half -sum and the three remainders together; the square root of the product is the area.
Página 95 - ... Compare the angles E, E', and E" in size. A part of the circumference of a circle is an arc. 19. Where are the centers of the arcs which join the sides of these angles? 20. Compare the arcs for the angles E, E', and E". 21. How does the increase of the arcs compare with the increase of the angles? An angle is measured by the number of degrees in the arc joining its sides and centering at the vertex. 22. How many degrees in half of a circumference? 23. How many of these degrees in one right angle?...
Página 52 - As the body falls, the distance d and the time s are variables, and 16 is a constant. Again, time measured from a past date is a variable, while time measured between two fixed dates is a constant. 2. The constants in a mathematical investigation are, as a rule, general numbers, and are represented by the first letters of the alphabet, a, b, c, etc. ; variables are usually represented by the last letters, x, y, z, etc. 3. A variable which has a definite value, or set of values, corresponding to a...

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