A System of Practical Mathematics: ... With a Plain Account of the Gregorian Or New Style ... By John Potter

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author, 1753 - Mathematics - 395 pages
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Contents

To reduce the Parts of Coin Weights Meaſures c into
85
Examples of the Square Root
91
To extract the Cube Root
99
Prob Page
101
21
117
60
129
22
131
The Arra being given to find the Circumference
135
To find the Area of an Ellepis
141
82
147
Art Page
153
the Solidity of a Fruftum er Segment of a Globe ibid
162
Of Bricklayers
181
of Painters
187
Prob
191
To draw a Line parallel to a given Line
193
Plain Trigonometry
208
Prob Page 68 The Baſe and adjacent Angle given to find the oppoſite Angle
209
19
214
24
221
30
231
Prob Page To furvey a Field by going round it at ſeveral Stations
248
The Conſtruction of the Line of Chords Sines Tangents and Secants
252
Of Spheric Geometry
254
To find the Pole of the primitive Circle
255
To lay any Number of Degrees on the primitive Circle ibid 40 To meaſure any Part of the primitive Circle ibid 41 To lay any Number of Degrees on ...
256
To meaſure any part of a right Circle ibid 43 To find the Pole of an oblique Circle ibid 44 To lay any Number of Degrees on an oblique Circle
257
Circle
258
perpendicular to another right Circle ibid 50 To draw an oblique Circle perpendicular to a right Circle ibid 51 perpendicular to another oblique Circle
259
To meafure a Spherical Angle when the angular Point is at the Center or Pole of the primitive Circle
260
To draw an oblique Circle to make a given Angle with a right Circle and to paſs thro a given Point
261
to make an Angle with another oblique Circle
262
o To draw a leffer Circle parallel to the primitive Circle at a given Diſtance from the Center of the primitique Circle
263
Spherical Trigonometry
264
The Solution of rightangled ſpherical Triangles
265
to find one of the Legs
276
Of oblique Spherical Trigonometry
277
to find an Angle oppofite one of the Sides
278
Two Angles and a Side oppoſite one of them given to find the third Angle
282
Two Sides and an Angle oppofite one of them given to find the third Side
283
to find the included Angle
286
Two Angles and the included Side given to find a Side oppoſite 19
287
to find the third Angle
289
The three Sides given to find the Angles
290
The three Angles given to find the sides
293
Of Aftronomy
294
of the great Circles of tbe Sphere ibid Of the ſmaller Circles
296
To projeet the Circles of the Sphere
298
To find the Suns Place in the Ecliptic
300
To find the Suns Declination and Afcenfion ibid 95 The Suns right Afcenfion and greateſt Declination given to find bis Place
304
The Suns preſent Declination given to find his Place
305
The Latitude of the Place and the Suns Declination given to find the Suns Altitude and the Hour of the Day when he is due Eaft or Weft
307
to find the Suns Altitude at Noon
308
to find the Suns Altitude and Azimuth at Six oClock
309
to find the Suns Amplitude and afcenfional Difference
310
To find the oblique Defcenfion
312
To find the oblique Aſcenſion ibid 101
313
The Hour of the Day and the Altitude of the Sun when due Eaſt
319
The Altitude Declination and Azimuth of the Sun given to find
328
Of Dialling ibid
338
Of Declining Dials
346
To find the Declination of a Plane ibid
356
To find the Dominical Letter 363
366
Of the Planetary Cycles
373
Mr Whions Cycle for Solar Eclipſes
382
To find the Moons Place in the Zodiac by Mr Whiftons grand
393
OO OO OO
6
221
2
83
9
To multiply Feet Inches and Parts by Feet Inches
51

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Page 6 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 30 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 224 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Page 147 - FRUSTUM, in mathematics ; a part of some solid body separated from the rest. The frustum of a cone is the part that remains, when the top is cut oft by a plane parallel to the base, and is otherwise called a truncated cone.
Page 361 - ... years, amounts to a whole day. By which the Vernal Equinox was anticipated ten days, from the time of the general council of Nice, held in...
Page 230 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 361 - October, in 1582, to make the equinox fall on the twenty-first of March, as it did at the time of that council ; and to prevent the like variation for the future, he ordered that three days should be abated in every four hundred years by reducing the leap year at the close of each century for three successive centuries to common years, and retaining the leap year at the close of each fourth century only. This was at that time esteemed...
Page 147 - Multiply the diameters of the two bases together, and to the product add one third of the square of the difference of the diameters : then multiplying this sum by 7854...
Page 134 - Dimensions of any of the parts nf a Circle being given, to find the side of a square equal to the Circle. RULE. If the area of the circle be given, extract the square root of the area, which will be the side of a square equal to the circle : If the diameter or circumference be given, find the area by Art.
Page 132 - To find the area of a Circle. ' RULE. Multiply half the diameter by half the circumference, and the product is the area...

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