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 Βιβλία Βιβλία If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means. For, if ad = bc, then, divide by bd. т~, - г~;« bd bd а с 01 6 = 5 New School Algebra - Σελίδα 310
των G.A. Wentworth - 1901
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - 1859 - 306 σελίδες
...square root of their product. Thus from the equation ax=b2, we find b = (ax)*. THEOREM IV. (153.) When the 'product of two quantities is equal to the product of two other quantities, either pair of factors may be made the extremes, and the other the means, of a Proportion.... ## The University Algebra ...

John Fair Stoddard, William Downs Henkle - 1859 - 528 σελίδες
...4 > Are ax, abx, bx in proportion ? 5, Are ax, xVab, bx in proportion ? PROPOSITION (38 4i) 3. When the product of two quantities is equal to the product of two other quantities, the four quantities may be expressed in the form of three different, proportions.... ## Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1861 - 303 σελίδες
...Thus, if we have the proportion 3 : 6 : r 6 : la, we shall also have 6 X 6 = 62 = 3 X 12 = 30. 155. If the product of two quantities is equal to the product of 170 other quantities, may the four be placed in a proportion ? He wt 157. If we have 7? 7) A : B :... ## Common School Algebra

Thomas Sherwin - 1862
...equation ad—be. If we divide both members by 6 and d, we have — = —, or a : b = c : d. Therefore, bd If the product of two quantities is equal to the product of two other quantities, the two factors of one product may be made the means, and the two factors of the... ## New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 420 σελίδες
...to the product of the means divided by the other extreme. (2) PROPOSITION II. — Conversely : — If the product of two quantities is equal to the product of two others, then two of them may be taken • for the means, and the other tico for the extremes of a proportion.... ## ELEMENTS OF GEOMETRY AND TRIGONOMETRY

CHARLES DAVIES, LL.D. - 1863
...this case, the square of the mean is equal to the product of the extremes. PROPOSITION II. THEOREM. jy the product of two quantities is equal to the product of two other quantities, two of them may be made the means, and the other two the extremes of a proportion.... ## Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 276 σελίδες
...mean proportional of two quantities is the square root of their product. * 18. Proposition — When the product of two quantities is equal to the product of two others, either two may be the extremes and the other two the means of a proportion. Let aXd = bXc represent the equal products.... ## New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1864 - 420 σελίδες
...to tJte product of the means divided by the other extreme. (2) PROPOSITION II. — Conversely : — If the product of two quantities is equal to the product of two others, then two of them may be taken for the means, and the other two for the extremes of a proportion. Let... ## Elements of Algebra: For Colleges, Schools, and Private Students, Βιβλίο 2

Joseph Ray - 1866 - 406 σελίδες
...: 8, is not a true proportion, since 3X5 is not equal to 2x8. 268. Proposition II. — Conversely, If the product of two quantities is equal to the product of two others, two of them 'may be made the means, and the other two the extreme* of a proportion. Let ........ bc... ## Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Μέρος 2

Joseph Ray - 1852 - 396 σελίδες
...than the ratio of 3 to 10, we have the two fractions I, aud y, ART. 268. PROPOSITION II. Conversely, If the product of two quantities is equal to the product of two others, two of them may be made the means, and the other two the extremes of a proportion. Let bc=ad. Dividing...