## Pure mathematics, Volume 2 |

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amount assume called centre CHAPTER circle cloth coefficients combinations common constant contains convergent corresponding cos A cos cosines determined difference digits dividing divisible draw easily equal equation expansion expression factors follows formula GEOGRAPHY give given greater greatest Hence integer interest length less letters limit logarithmic means measure multiplying nearly negative obtain permutations perpendicular plane positive integer powers prime Prove quadratic quantities quotient radius radix ratio relation represent respectively result right angle roots scale shown sides similarly sin A sin sines sinš solution sphere spherical square substituting suppose taking Theorem things taken triangle TRIGONOMETRY true unity values

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Page 20 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...

Page 368 - FRENCH EXERCISES FOR ADVANCED PUPILS, containing the Principal Rules of French Syntax, numerous French and English Exercises on Rules and Idioms, and a Dictionary of nearly 4000 Idiomatical Verbs and Sentences, familiar Phrases, and Proverbs.

Page 81 - In what time will a sum of money double itself at 5 per cent., compound interest?

Page 291 - Any two sides of a spherical triangle are together greater than the third side.

Page 15 - t shillings in a row reach as far as n sovereigns, and a pile of p shillings is as high as a pile of q sovereigns ; compare the values of equal bulks of gold and silver.