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" Find four numbers in arithmetical progression such that the sum of the squares of the first and second shall be 29, and of the third and fourth 185. "
New Developments of Algebra - Σελίδα 15
των Thomas Henderson - 1876
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The Ohio Journal of Education, Τόμος 4

1855 - 436 σελίδες
...second of three numbers ia 7 ; the difference between the second and third is 2 ; and the numbers are such that the sum of the squares of the first and second is equal to the square of the third. What are the numbers ? GEOMETRICAL EQUIVALENT. — Given the difference...

National Society's Monthly Paper

1856 - 376 σελίδες
...many should l,e invite at a time ? SECT. II. — 1. Find four numbers in arithmetical progression, such that the sum of the squares of the first and second shall be 29, and the sum of the squares of the third and fourth 185. 2. Find the sums of the series...

A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1857 - 332 σελίδες
...second, 8 the third, and so on : in how many days did they meet ? 52. Find 4 numbers in AR. progression, such that the sum of the squares of the first and second be 29 ; and the sum of the squares of the third and fourth be 185. 53. Given P and Q the »ith and...

Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - 1862 - 330 σελίδες
...8 the third, and so on : in how many days did they meet ? . 52. Find 4 numbers in AR. progression, such that the sum of the squares of the first and second be 29 ; and the sum of the squares of the third and fourth be 185. 63. Given P and Q the mth and nth...

Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - 1868 - 270 σελίδες
...third shall be 104, and of the second and fourth 232. 9. Find four numbers in arithmetical progression such that the sum of the squares of the first and second shall be 29, and of the third and fourth 185. SECTION XXIII. GEOMETRICAL PROGRESSION. 229. A GEOMETRICAL...

Bradbury's Elementary Algebra: Designed for the Use of High Schools and ...

William Frothingham Bradbury - 1877 - 280 σελίδες
...shall be 104, and of the second and fourth 232. "• rind four numbers in arithmetical progression such that the sum of the squares of the first and second shall be 29, and of the third and fourth 185. ". [• are ascending series ; 3. ) SECTION XXIII. GEOMETRICAL...

A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - 1895 - 358 σελίδες
...that their sum shall be 21 and their product 336. 15. Find three numbers in arithmetical progression, such that the sum of the squares of the first and second shall be 73, and the sum of the squares of the second and third shall be 233. 16. The sum of the cubes...

Journal of the Institute of Bankers, Τόμος 23

Institute of Bankers (Great Britain) - 1902 - 664 σελίδες
...exchange between •Trance and England is 25'22.', francs per £1. 8. — If there be three numbers such that the sum of the squares of the first and second is equal to the square of the third, IA, if n" + V1 = '•- where a, /> and c are integers, show that...

Elements of Algebra for Beginners

George Washington Hull - 1904 - 172 σελίδες
...Represent tl1e terms by x — y, x, and x + y. 10. Find three numbers in arithmetical progression, such that the sum of the squares of the first and second shall be 73, and the sum of the squares of the second and third shall be 233. GEOMETRICAL PROGRESSION...

High School Algebra Complete

Marquis Joseph Newell - 1920 - 424 σελίδες
...two parts such that one part shall equal the square of the other. 10. Find four consecutive numbers such that the sum of the squares of the first and second exceeds the product of the third and fourth by 5. 11. A field that is 8 rods longer than it is wide...




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