Reason
proportion is the ratio of 2 numbers, that is, the fractional number a / b, where the numerator and denominator antecedent b the consequent. Proportion
is equality between 2 reasons: a / b = c / d. The proportion is direct if the ratio of each pair of values \u200b\u200bis constant and is reversed when the product of each pair of values \u200b\u200bis constant.
A uniform number is one that corresponds to the same magnitude. The ratio or quotient of two homogeneous quantities is that which expresses the value of the first amount, taking the second as a unit.
heterogeneous amounts are those relating to different magnitudes.
The inverse is after the product one that gives the unit itself.
For example, the inverse of 3 / 5 is 5 / 3, as 3 / 5 × 5 / 3 = 1.
A proportion is the equality of two reasons.
a / b = c / dad called YBC extreme means.
For example, 6 / 3 = 8 / 4, since both are equal to 2.
In a proportion, the media product is the product of the extremes.
6 / 3 = 8 / 4, 6x4 = 24 3x8 = 24
to any of the terms of the proportion is called the fourth proportional.
continuous proportions which have equal means with ends.
3 / 6 = 6 / 12
To a Continuous each equal terms is called a mean proportional, while the unequal terms are called the third proportional.
3 / 6 = 6 / 12, 6 is the mean proportional, while 3 and 12 are non-proportional.
The average ratio is the square root of the product of two terms.
A third proportional is equal to the ratio between the square of proportional means and the other third.
A ratio a / b = c / d can be written media swapping a / c = b / d, swapping ends d / b = c / a, reversing the reasons b / a = d / c, or swapping the above reasons c / d = b / a, b / d = a / c, c / a = d / b, d / c = b / a
In proportion, every precedent is to its consequent as the sum of the background is the sum of the consequents.
a / b = c / d = a + c / b + d
In proportion, every precedent is its subsequent history as the difference is the resulting difference.
a / b = c / d = ac / bd
In all proportion the amount of background is consistent with the sum of the difference in history as the difference is consequential.
a + c / b + d = ac / bd
Proportionality between straight
If a pair of lines are cut by a set of equidistant parallel lines, the corresponding segments are proportional.
The following figures are in proportion as they have their sides proportional, 3 units, a figure corresponding to 5 of the other, and this is true on all sides. This means that a figure is 3 / 5 of the other, or that it is 5 / 3 of the above. Make the level 5 / 3 means take the segment divided into three parts and adding two, three dimension which becomes dimension five. Do a segment at 3 / 5, means dividing the segment into five parts and take three of the five.
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