Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

THE

C Ο Ν Τ Ε Ν Τ S.

0 Vulgar Fractions.

4.

[ocr errors]

nator

10.

15

Page 1
Of the Notation of Vulgar Fractions
Reduction of Vulgar Fractions
Art
1. To reduce a whole Number to an improper Fraction

ibid.
a mixed Number to an improper Fraction
3. compound Fraftions to fimple Fractions

fimple Fractions of different Denominators to Fractions of the same Denominator

7 compound and simple Frations to Fra&tions of the fams Denominator

9 6.

mixed Numbers and fimple Fraktions to Fradions of the fame Denomination

10 7.

a mixed Number and a compound Fraction to the fame Denomination

12 8. fimple Fraftions and Integers to Fradions of the same Denominator

13 9. 4 compound Fraction and Integers to the fame Denomi.

ibid. mixed Numbers to an improper Fraction Addition of Vulgar Fractions

ibid 11. To add fimple Fractions together

ibid. compound and fimple Fractions together

17 13. mixed Numbers and fimple Fractions together

18 14. mixed Numbers and compound Fractions together

19 15. fimple Fractions and Iniegers together

21 16. compound Fractions and Integers together

ibid. 17 mixed Numbers and Integers together

ibid. Subtraction of Vulgar Fractions

22 18. To subtract simple Fractions

ibid. fimple Fractions from compound Fractions, or compound from fimple

ibid. fimple Fractions from mixed Numbers

ibid. compound Fractions from mixed Numbers fimple Fractions from Integers

26 compound Fractions from Integers

27 24 a mixed Number from an Integer greater than the Integer of the mixed Number

28 Multiplication of Vulgar Fractions

ibid. 25. To multiply sample Fractions together

ibid. 26.

compound and fimple Fractions together, or compound with compound

29

12.

[ocr errors]

20.

21.

22.

23.

[ocr errors]

31.

32.

Art.

Page.

27, "To multiply mixed Numbers and fimple or compound Fra&tions ico

gether

30

28. fimple Fractions and Integers together

ibid.

29.

mixed Numbers and Integers together

32

i Division of Vulgar Fractions

ibid.

30. To divide fimple Fractions by simple Fractions

ibid.

compound Fractions and

fimple Frations

33

a mixed Number by a simple Fraction, or a simple Fraétion

by a mixed Number

34

33.

mixed Numbers and compound Fractions

ibid.

34.

fimple Fractions. mixed Numbers, or compound Fractions,

by Integers; or Integers by fimple or compourd Fractions, or

mixed Numbers

35

35. To find the Valve of a Fraction in the customary Divisions of Money,

Weights, Majures, and the like

37

36. To reduce a Fraction to its lowell Terms

45

a Fraction of a lower Denomination to a Fration of a

higher

49

38.

a Fraction of a greater Denomination to a Fraction of

a less

50

39. To resolve Questions in the Rule of Three in Fractions ibid.

Of Decimal Fractions

52

The Definition and Notation of Decimal Fractions

ibid.

Addition of Decimal Fractions

55

40. To add Decimal Fractions together

ibid.

Subtraction of Decimal Fractions

57

41. To subtract Decimal Fractions

ibid.

Multiplication of Decimal Fractions

58

42. To multiply Decimal fractions

ibid.

43. To contract Multiplication

60

44. Divifron of Decimal Frations

62

45. To contract Division of Decimal Fractions

71

Reduction of Decimal Fractions

75

46. To reduce Vulgar Fractions to Decimals of the same Value ibid.

47. To find the Value of Decinal Frażlions in the accustomary Divisions

of Coin, Weights, Meatures, &c.

77

48. To reduce the Parts of Coin, Weights, Measures, &c. into De-

cimals

To extract the Square Root of any Number

88

49. Examples of the Square Root

99

50. To extract the Cube Root

97

91. To multiply Feet, Inches, and Parts, by Feet, Inches, and

Parts

109

The

[ocr errors]

85

Page.

The Measuring of Superficies

I21

52. To measure a Square

ibid.

122

53: a Parallelogram

54.

ibid.

a Rhombus

55. To find the Area of a Rhomboides

123

56. To meafure a Triangle

ibid.

57. Another Method of finding the Area of a Triangle, the three sides

being given

126

58. To measure a Trapezium

127

ibid.

59.

any irregular Figure

60.

any regular Polygon

129

To measure a Circle and its Parts

131

61. The Diameter of a Circle being given, to find the Circumference ib.

62. Ibe Circumference being given, to find the Diameter

132

63. To find the Area

ibid.

64. The Diameter being given, to find the Area without finding the

Circumference

133

65. The Circumference being given, to find the Aree without finding the

Diameter

ibid.

66. The Dimenfions of any of the Parts being given, to find the side of

a Square equal to the Circle

134

67. The Area being given, to find the Diameter

ibid.

68. The Area being given, to find the Circumference

135

69. The Side of a Square being given, to find the Diameter of a Circle

equal to the Square who e Side is given

136

70. The Side of a Square being given, to find the Circumference of a

Circle equal to the given Square

ibid.

71. To find the Area of a Semicircle, the Diameter being given

72. A Sector or Segment of a Circle being given, to find the Length

of the Arch-Line

137

73. The Chord and versed Sine of a Segment being given, to find the

Diameter of a Circle

ibid.

74. To measure a Sector

138

75. To find the Area of a Segment of a Circle

139

76. To find the Area of an Ellepsis

141

77.

TO

MEB

ure a Parabola

142

The Measuring of Solids

143

78. To mea are a Cube

ibid.

79.

a Parallelopipedon

144

80.

- a Cylinder

145

81.

82.

the Fruftum of a Cone

147

a Pyramid

148

the Fruftum of a Pyramid

149

a Globe

151

86. the Surface of a Globe

152

ibid.

87.

the Solidity of a Fruftum or Segment of a Glabe

TO

ibid.

[ocr errors]

Page.

83. To measure the surface of a Fruftum ar Segment of a Globe

153

89. a Spheroid

154

go. To find the side of a Cube equal to any folid Body

155

91. To measure the Solidity of any irregular Body whose Dimenfions

cannot be taken

156

Of Board and Timber Measure

157

Of the five regular Bodies

160

Of the Tetraedron

ibid.

Of the Oxaedron

163

Of the Dodecaedron

164

Of the Eico fedron

166

Å Table of the Contents of the fave regular Bodies

169

The Defcription and Use of the Sliding-Rule

ibid.

Of measuring Artificers' Work

178

Of Carpenters' Work

ibid.

Of Bricklayers'

of Forners'

184

of Plaisterers'

186

Of Painters'

187

Of Glaziers'

ibid.

Of Mafons'

188.

Of Paviours'

190

Of Geometry

ibid.

Of Plain Geometry

ibid.

Ge metrica! Problems

191

1. To divide a Line into two equal Parts

ibid.
2. To erect a Perpendicular on a given Line

ibid.

3. To treat a Perpendicular on the End of a Line

192

4. To let fall a Perpendicular from a given Point, on a given

Line

ibid.

5. To draw a Line parallel to a given Line

193

6. To draw a Parallel to pass thro' a given Point

ibid.

7. To make an Angle equal to a given Ange

194

8. To make an Angle to any Numler of Degrees

ibid.

9. To measure an Angle

195

10. To divide a given Angle into two equal Parts

ibid.

1. To divide a Line into any Number of Parts

196

12 To draw a Tangent to a Circle, from a given Point

ibid.

13. To make a Triangle whole Sides

shall be equal to a given Line ibid.

14. To draw a Triangle whose Sides shall be equal to three given

Lines

197

15. To de cribe Ovals mechanically

ibid.

16. To describe an Oval, or Ellipfis, by a Thread

198

17. To draw a Circle thro' three Points not in a fraight Line

ibid.

Of Logarithms

199

The Defcriprion and Use of the Logarithms

Tbe

211

217

Prob.

The Defcription and Use of the Table of Sines and Tan-

gents

207

Plain Trigonometry

208

Definitions

209

The Description and Use of a Scale of equal Parts 210

The Defcription and Use of a Line of Chords

Of right-lined Plain Trigonometry

212

18. In a right-angled Triangle, the Base and Hypothenuse given, to find
the Perpendicular and Angles

ibid.

19.

the Perpendicular and Angle opposite given, to find

the Hypothenuse and Baje

214

A general Rule for taking any Number from the Diagonal

Scale

216

20. In a right-anoled Triangle, the Hypothenuse, and Perpendicular
given, to find the Base and Angles

the Hypothenuse and adjacent Angle given, to find

the Base and Perpendicular

218

the Bafe and adjacent Angle given, to find the Hypo-

then: se and Perpendicular

219

23

the Perpendicular and adjacent Angle given, to find

the Hypothenuse and Base

24.

the Base and Angle oppofite given, to find the Hypo-

thenuse and Perpendicular

25.

the Base and Perpendicular given, to find the Hypo-

thenuse and Angles

Oblique Plain Trigonometry

224

26. In an oblique Triangle, the Base and the Angles at the Base given,

to find the other two Sides

225

27.

the Base and Angle opposite given, to find the other

Sides

226

two Sides and an Angle opposite one of them given,

to find the third Side and the other two Angles

228

29.

two Sides and the included Angle given, to find the

other Angles and the third Side

229

30.

the three sides given, to find the Angles 231

31. To find the Area of any regular Polygon

233

32. To measure the Height of a Tower

235

33

the Distance of an Object whose Height is known 236

34.

the Height of an inaccessible Object

ibid,

the Height of an Object above another

238

the Distance of two Objects, when the Distance between

the Station and one of the Objects may be measured

239

Of Surveying

242

To take the Dimensions of a Field at one Station

243

To urvey a Field at two Stations

246

T.

35.

36.

« ΠροηγούμενηΣυνέχεια »