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Βιβλία Βιβλία 81 - 90 από 172 για In any proportion, the product of the means equals the product of the extremes..
" In any proportion, the product of the means equals the product of the extremes. "
The New Normal Written Arithmetic: Designed for Common Schools, Normal ... - Σελίδα 293
των Edward Brooks - 1877 - 421 σελίδες
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Plane Geometry: With Problems and Applications

Herbert Ellsworth Slaught, Nels Johann Lennes - 1918 - 310 σελίδες
...both members of the equation ? = ^ by 6d, we get ad = be. Ax. 3, § 71 That is, if four numbers are in proportion, the product of the means equals the product of the extremes. (2) Dividing both members of the equation be = ad by ac, we get 5 = -. Ax. 4, §71 ac This process...

Modern Wiring Diagrams and Descriptions: A Handbook of Practical Diagrams ...

Henry Charles Horstmann, Victor Hugo Tousley - 1918 - 287 σελίδες
...X. The values of A, B and R are known, and, since it is a well-known rule of arithmetic that in any proportion the product of the means equals the product of the extremes, we can find the value of X, since AXX=BXR, ' — 7 — =X, or in other words to A, find the value of...

Plane Geometry, with Problems and Application

Herbert Ellsworth Slaught - 1918 - 332 σελίδες
...both members of the equation ? = ^ by 6d, we get ad = 6c. Ax. 3, § 71 That is, if four numbers are in proportion, the product of the means equals the product of the extremes. (2) Dividing both members of the equation 6c = ad by ac, we get * = *. Ax. 4, §71 ac This process...

General Mathematics, Βιβλίο 1

Raleigh Schorling, William David Reeve - 1919
...whole hypotenuse and the segment of the hypotenuse adjacent to it. Because when four quantities are in proportion the product of the means equals the product of the extremes. Addition axiom. By factoring out c. The whole is equal to the sum of all its parts. By substitution....

Junior High School Mathematics, Βιβλίο 2

Edson Homer Taylor - 1919
...the means. The four numbers which form a proportion are said to be proportional. Principle. In any proportion the product of the means equals the product of the extremes. If ~ = - , both members of the equation may be multiplied oa bybd. Then ad = be. This principle gives...

High School Algebra Complete

Marquis Joseph Newell, George Andrew Harper - 1920 - 401 σελίδες
...three distinct numbers in the proportion, a, x, and b. . 129. Fundamental laws of proportion. I. In any proportion the product of the means equals the product of the extremes. (See § 79.) я c That is, if j = ¿¿then ad = lc. Explain how obtained. II. If the product of two...

Elementary Algebra: With a Table of Logarithms

Julius Leaderer Neufeld - 1920 - 383 σελίδες
...without destroying the equality of the two ratios. PRINCIPLES OF PROPORTIONS 168. Principle 1. — In any proportion, the product of the means equals the product of the extremes, If a:b=c:d The,, | = | Clearing of fractions, ad = be. If a : b = b : c, Then 62 = ac A mean proportional...

The Elements of High School Mathematics: Comprising Arithmetic, Practical ...

John Bascom Hamilton, Herbert Earle Buchanan - 1921 - 297 σελίδες
...means and extremes given above, this result can be stated in words as follows: 264. Theorem. In any proportion the product of the means equals the product of the extremes. A statement of this sort, which has been deduced from given facts, is called a theorem. CL C If 1 be...

The Brown-Eldredge Arithmetics: Book One[-three, Τόμος 3

Joseph Clifton Brown - 1924
...products compare in each case? Your solution of these problems shows the truth of this principle: In any proportion, the product of the means equals the product of the extremes. Three terms are usually given in a problem that involves proportion. It is then necessary to find the...

Solving Geometric Originals, Τεύχος 146

Frank Charles Touton - 1924 - 114 σελίδες
...cuts off a A similar to the whole A. (21) In similar As homologous sides are proportional. (22) In a proportion the product of the means equals the product of the extremes. (23) Used vertex angle as a Zrt. Special case. (24) Homologous sides occupy corresponding positions...




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