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" In any proportion, the product of the means is equal to the product of the extremes. "
Plane and Solid Geometry - Σελίδα 119
των Arthur Schultze, Frank Louis Sevenoak - 1902 - 370 σελίδες
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The Complete Arithmetic, Oral and Written, on the Basis of Works

Henry Bartlett Maglathlin - 1882 - 398 σελίδες
...are the extremes, and 3 and 4 the means. Hence the following 348. Principles of Proportion. 1. In a proportion the product of the means is equal to the product of the extremes. 2. Hither extreme is equal to the product of the means divided by the other extreme. 3. Either mean...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 σελίδες
...3'1416 its diameter. SECTION X. 1. Define ratio and proportion. Show that when four numbers are in proportion the product of the means is equal to the product of the extremes. 2. Explain, as to a class, the object and the process of reducing fractions to a common denominator....

Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - 2012 - 1080 σελίδες
...congruent angles. 10. AA = AA 11. Corresponding sides of similar triangles are in proportion. 12. In a proportion, the product of the means is equal to the product of the extremes. • PROBLEM 531 Using Ptolemy's Theorem show that if a anS b, with a ^ b, are chords of two arcs of...
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A Brief Course in Arithmetic

Ann Faber, Gale Edgerton, Paul Karanevich - 1985 - 254 σελίδες
...proportion amounts to multiplying the "means" (inner numbers) and the "extremes" (outer numbers). If the product of the means is equal to the product of the extremes, the ratios are equal. 2X2 = 4 1:2 2:4 1 X4 = 4 4 = 4, so that 1 :2 = 2:4 is a proportion. I Example...
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Geometry I Essentials

The Editors of REA - 2013 - 112 σελίδες
...c are called the means of the proportion. The single term d is called the fourth proportional. In a proportion, the product of the means is equal to the product of the extremes. Theorem 2 A proportion may be written by inversion. (If alb = eld, then bla = die.) Theorem 3 •i...
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Basic Math Concepts: For Water and Wastewater Plant Operators

Joanne K. Price - 1991 - 380 σελίδες
...proportion. The inside terms (2nd and 3rd) are called the means of a proportion. For all proportions, the product of the means is equal to the product of the extremes. In other words, when the two inside terms are multiplied, the answer will be the same as when the two...
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Schaum's Outline of Basic Mathematics with Applications to Science and ...

Haym Kruglak, John Moore, Ramon Mata-Toledo - 1998 - 508 σελίδες
...extremes of the proportion. The above proportion can be written in fractional form as a/b = c/d. Rule. In any proportion, the product of the means is equal to the product of the extremes. Ratio For instance, 3:4 = 6:8 is a proportion and the product of the means is (4)(6) or 24 and the...
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Merriam-Webster's Guide to Everyday Math: A Home and Business Reference

Brian Burrell - 1998 - 386 σελίδες
...a:b::c:d, or as "/, = '//. The values b and c are referred to as the means; a and d are the extremes. In any proportion, the product of the means is equal to the product of the extremes. (This is also known as cross-multiplication.) THE RULE OF THREE "Do as you would be done by" is thought...
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Apollo's Lyre: Greek Music and Music Theory in Antiquity and the Middle Ages

Thomas J. Mathiesen - 1999 - 832 σελίδες
...proportion" (Kupionepoi; dvaXoyia), in which two middle terms form various ratios with the extremes and the product of the means is equal to the product of the extremes. This proportion is represented by 12:9:8:6, which embraces geometric proportion (12:8::9:6), harmonic...
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Strategies For Success On The Sat 2005: Mathematics Section

Lisa Muehle - 2004 - 239 σελίδες
...the proportion. The relationship between w and x is proportional to the relationship between y and z. In any proportion, the product of the means is equal to the product of the extremes. In the proportion above, x • y = w • z. SAT PRACTICE: RATIO & PROPORTION (SIMPLE RATIOS) Of 200...
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