 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1917 - 674 σελίδες
...fractional form, - = c, we clear ba of fractions and obtain ad = be. That is : If four numbers are in proportion, the product of the means equals the product of the extremes. Case II : • 6 : a : : d : c. We are to show that if - = -, then- = -. bdac Proof. From Case I, we... | |
 | William Charles Brenke - 1917 - 212 σελίδες
...т = - or oc = b2 we have b = ± Vac. Also, с is called the b с 114. Laws of Proportion. 1. In a proportion, the product of the means equals the product of the extremes. 2. If two products, each containing two factors, are equal, either pair of factors may be taken as... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1918 - 360 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... | |
 | Henry Charles Horstmann, Victor Hugo Tousley - 1918 - 324 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... | |
 | Herbert Ellsworth Slaught - 1918 - 344 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... | |
 | Raleigh Schorling, William David Reeve - 1919 - 520 σελίδες
...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.... | |
 | Edson Homer Taylor - 1919 - 272 σελίδες
...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... | |
 | Henry Charles Horstmann, David Penn Moreton, Victor Hugo Tousley - 1919 - 1254 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 BxR AXX=BXRj — I — ==X., or in other words to A. find the value... | |
 | Marquis Joseph Newell - 1920 - 424 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... | |
 | Julius Lederer Neufeld - 1920 - 412 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... | |
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In any proportion, the product of the means equals the product of the extremes. 
