Recreations in Mathematics and Natural Philosophy ...

Longman, Hurst, Rees, Orme, and Brown, 1814

Of our numerical system and the different kinds	2

Of some short methods of performing arithmetical	9

Palpable arithmetic or a method of performing arith	17

Of square numbers	27

281	29

Table of prime numbers from 1 to 10000	33

Properties of the numbers 9 6 3	37

A triangular or any figurate number whatever	39

Of magic squares	183

Of even magic squares	192

Of magic squares with borders	199

Political arithmetic	207

Of the number of men of different ages in a given	214

Some questions which depend on the preceding	220

117	224

From the extremity of a given right line	231

To find any number of rightangled triangles	46

Any square number being given to divide it into	51

A property of quadrilaterals which appears not to have	56

If a hundred stones are placed in a straight line	59

Of geometrical progressions with an explanation	63

If the hour and minute hands of a clock both	69

Of various progressions decreasing in infinitum	78

Any number of things being given to find	85

The different anagrams of the word roma	88

Any number of dice being given to determine	89

Two persons sit down to play for a certain	102

A certain person whom we shall call playing	108

A and B playing at piquet a is first in hand	109

In how many throws with six dice marked	116

To tell two or more numbers which	126

To guess the number of spots on any card which	132

Several numbers being disposed in a circular	142

Sixteen counters being disposed in two rows	145

In what manner can counters be disposed in	151

A gentleman has a bottle containing 12 pints	154

A gentleman meeting a certain number	160

The sum of 500 having been divided among	166

A bill of exchange of 2000 was paid with	167

To find the number and the ratio of the weights	174

Three persons have each such a number	177

Three points not in the same straight line being	231

Two circles not entirely comprehended	236

If a square be described on each of the sides	243

In every parallelogram the sum of the squares	246

To cut a given square into 4 or 5 or 6	253

A point a circle and a straight line being	257

3d To determine the opening of the compasses with	265

Observation on the oval formed of several arcs of circles	271

On a given base to describe an infinite	272

What is the greatest polygon that can	280

now if a traveller has to go from D to c what route must	281

The duplication of the cube	288

To tell the number thought of by a person	290

To measure the circle that is to say to find	294

Geometrical constructions for making a square	296

Of the length of the elliptical circumference	310

An arc of a circle being given in degrees	317

A lunule being given to find in it portions	332

Of various other circular spaces absolutely	339

To divide the sector of an ellipsis into	343

In the island of Delos a temple consecrated	350

VOL I	353

A collection of various problems both arithmetical	355

Appendix containing some corrections and additions	364

Table of some other measures both ancient and modern	372

Titolo	Recreations in Mathematics and Natural Philosophy ... Volume 1 di Recreations in Mathematics and Natural Philosophy, Charles Hutton
Autore	Jacques Ozanam
Curatore	Charles Hutton
tradotto da	Charles Hutton
Editore	Longman, Hurst, Rees, Orme, and Brown, 1814
Provenienza dell'originale	National Library of the Netherlands
Digitalizzato	25 ott 2012

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