...that point by the two tangents to the circle. 315. THEOREM. // two secants intersect without a circle, the ratio of the first to the second is equal to the ratio of the external segment of the second to the external segment of the first. Given a circle with secants AB...

...ratios is said to form a proportion, or in other words four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus 5 ft. $25 2 ft. $10 is a proportion. This is often written 5 ft. : 2 ft. :: $25 : $10 and is road...

...о а а с 174. Continued proportion. Three or more numbers are said to be in continued proportion when the ratio of the first to the second is equal to the ratio of the second to the third, and so on. Thus, a, 6, c, d are in continued proportion if, 175. Mean proportional....

...21° to the supplement of the same angle. Find the angle. 20. Find three consecutive numbers such that the ratio of the first to the second is equal to the ratio of 5 times the third to 5 times the first plus 16. Variation 101 Direct Proportion: If a train travels...

...x-2 5x-7 l0x+11 12. 3x-5 6x+ 7 3x DIRECT VARIATION 91 20. Find three consecutive numbers such that the ratio of the first to the second is equal to the ratio of 5 times the third to 5 times the first plus 16. Variation 101 Direct Proportion: If a train travels...

...ж = y, or г = ж + y. У PROPORTION. 348. DEFINITION. Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. The four quantities are called proportionals, or the terms of the proportion. Thus, if - = -, then a, b,...

...expressed by division, which one quantity bears to another. Four quantities are said to be in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. A proportion may be written in either of two ways; thus if the ratio of a to & is equal to the ratio...

...started. В : PROPORTION 1.4 Definition Four quantities are said to be in proportion or proportional if the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus a, b, c, d are in the proportion or proportional if the ratio of 'a to b be equal to а с the...

...4cd c2+d2 Continued Proportion Quantities of the same kinds are said to be in continued proportion when the ratio of the first to the second is equal to the ratio of the second to the third and is equal to the ratio of the third to the fourth, and so on. Thus, a, b, c,...