...the ratio \fa — %/b : va ~ V * i" nearly equal to n \rä : m v6, , ) shew that x : у 11. If «» shillings in a row reach as far as n sovereigns, and...compare the values of equal bulks of gold and silver. Ans. Val. of gold : val. of silver :: 20wz2p : n*q. 12. Given that у ос я, and when x = 2, у =...

...105. Evaluate {(a - x)' * - (af xY] 4- (ж5 - «*)$, when x = 0. 106. If m shillings in а голу reach as far as n sovereigns, and a pile of p shillings be as high as a pile of q sovereigns, compare the values of equal bulks of gold and silver. 107. Sv...

...' (2a + 36) "(За^26)* ' 105. Evalúate {(1 - *)"* - (1 f xfy 4- (*" - z1)', when x = 0. 106. If m shillings in a row reach as far as n sovereigns, and a pile of p shillings be as high as a pile of g sovereigns, compare thé values of equal bulks of gold and silver. 107. St,...

...P=pl+pt+p,+...+p,. 26. Km shillings in a row reach as far as м sovereigns, and a pile of p shillings be as high as a pile of q sovereigns, compare the values of equal bulks of gold and silver. (Сотр. р. 87.) Ans. Val. of gold : val. of silver :: 20n*g : m'p. 27. A person in a railway carriage...

...195, j 3? XX 1 -s = - , or -= = . __ '? У'' л* * 1 5 = 2 2 ' or x : y :: \±Js : 2. Ex. 26. If m shillings in a row reach as far as n sovereigns, and a pile of p shillings be as high as a pile of q sovereigns, compare the values of equal bulks of gold and silver. Let D be...

...lOxy + x, an equation which gives x= 2 ; so that the digits are 2, 4, 8, and the number 248. 4. If m shillings in a row reach as far as n sovereigns, and...compare the values of equal bulks of gold and silver, circles being supposed to vary as the squares of their diameters. Let D and d be the diameters of a...

...(«) If ^te = 6=^ = c-^te = &C-thena'6'c'rf" • • • will be in geometrical progression. (50) If m shillings in a row reach as far as n sovereigns, and a pile of p shillings is as high as a pile of g sovereigns ; on the supposition that the coins are perfectly smooth, compare the values of equal...

...dimensions are 16 feet, 8 inches, 6 inches. 8. If m shillings in a row reach as far as и sovereigns, and я pile of p shillings is as high as a pile of q sovereigns...their weight, and the square of the value of rubies oc the cube of their •weight. A diamond of a carats is worth m times a ruby of Ъ carats, and both...

...Find all the possible values of ж, у, z and tr. xyzw = U184 187C.] 60 JOURNAL OF EDUCATION. 7. If m shillings in a row reach as far as n sovereigns, and a pile of p shillings as high as that of q sovereigns, compare the values of equal bulks of gold and silver. 8. A rectangular...

...proportionality from Euclid's test : If a:b: :c:d, prove that a + b:a — b: \c-\-d\c — d. 8. If m shillings in a row reach as far as n sovereigns, and a pile of p shillings be as high as a pile of q sovereigns, compare the weights of a sovereign and a shilling, supposing...