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

Properties of the numbers 9 6 3	37

A triangular or any figurate number whatever	39

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

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

From the extremity of a given right line	231

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

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 some other progressions and particularly har	75

Any number of things whatever being given	82

Any number of things being given to find	85

How many ways can the following verse be varied	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 A 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 a person	126

To guess the number of spots on any card which	132

Three things being privately distributed	140

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

91	167

To find the number and the ratio of the weights	174

Three persons have each such a number	177

Of magic squares	183

95	188

Of even magic squares	192

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

Curious anecdotes respecting it and various solutions	289

355	295

Geometrical constructions for making a square	296

Of the length of the elliptical circumference	310

The three sides of a rightangled triangle being	316

What bodies are those the surfaces of which	322

The dodecagon inscribed in the circle is	324

97	331

A lunule being given to find in it portions	332

106	341

Of the measure of the ellipse or geometrical	342

To divide the sector of an ellipsis into	343

116	349

In the island of Delos a temple consecrated	350

VOL I	353

A collection of various problems both arithmetical	355

2	364

Table of some other measures both ancient and modern	372

13

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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