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" Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third. "
Elements of Geometry and Conic Sections - Page 37
by Elias Loomis - 1857 - 226 pages
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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1912 - 392 pages
...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...
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Hopkins and Underwood's Arithmetic: Book One-two, Book 2

John William Hopkins, Patrick Healy Underwood - Arithmetic - 1912 - 396 pages
...Thus, f = becomes f = , and is = M becomes | =|. Four quantities are said to be in proportion, or to be proportional when the ratio of the first to the second equals the ratio of the third to the fourth. The numbers, 2, 3, 4, 6 are in proportion for, | = ....
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The Texas Mathematics Teachers' Bulletin, Volumes 1-7

Mathematics - 1915
...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....
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Elementary Algebra

George Hervey Hallett, Robert Franklin Anderson - Algebra - 1917 - 402 pages
...Find the numbers. Proportion 171. Definitions. Four numbers or 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. Remark. In what follows we shall use the expression, the ratio of one number to...
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Secondary Mathematics: I-, Volume 1

Harry Morton Keal, Nancy Seymour Phelps - Mathematics - 1917 - 240 pages
...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...
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Eighth Grade Mathematic

Harry Morton Keal - Mathematics - 1917 - 148 pages
...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...
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Elements of Algebra

Henry Sinclair Hall - 1918 - 384 pages
...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....
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Junior High School Mathematics, Book 2

Edson Homer Taylor - Mathematics - 1919 - 276 pages
...o:f=f:5. AK IK 6.8:11=24:1. 10. — = ?• 16. a : 4 = 4. : 12. TO 36 39. Proportional lines. Four lines are said to be proportional when the ratio of the first to the second equals the ratio of the third to the fourth. Draw a triangle ABC with AB = & in., BC = 4 in., and AC=3...
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Space and Time

Emile Borel - Relativity (Physics) - 1926 - 256 pages
...diagonal and side of a square, we can easily prove by geometry that the ratio of the first remainder to the second is equal to the ratio of the second to the third, and so on; it is therefore impossible that the operation should come to an end. This geometrical fact...
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 5

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - Encyclopedias - 1910 - 546 pages
...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 &...
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