A system of the mathematics: containing the Euclidean geometry, plane & spherical trigonometry ... astronomy, the use of the globes & navigation ... Also a table of meridional parts ... Together with a large & very useful table of the latitudes & longitudes of places, Volume 1 (Google eBook)

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Printed for T. Page, W. & F. Mount, 1723 - Mathematics
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Contents

Several other useful Properties of the Circle demonstrated p
34
The Method for finding the Sum of any infinite Series in a Geome
40
How to divide Lines and Triangles in any given Ratio p
46
How to enlarge or diminifli Rightlined Figures in any given Ratio
52
The Sine of an Arch being given to find the Sine of the double
56
section 11
59
The Sines to 30 Degrees being given to find from thence the Sines
62
when projected different Ways and in all the Varieties
66
Another Investigation of the fame p
68
That the Arch and Sine of i Minute donor differ from each other
69
The Sinical Proportion demonstrated
75
The Application of the same Series to the investigating of the Cir
81
yh To find the superficies of a Sphere different Ways p
87
SECTION III
93
A Demonstration of the 6th Theorem or Axiom p
100
Mow the mean Motion for Hours and Minutes may be determined
102
What the Tables of Sines Tangents and Secants are and their
103
How the common Solar Tables are made to serve in LeapYears
114
SECTION
119
Various Ways of Resolving the 6th Case
128
That if the distorted Parts when projected retain between themselves
131
SECT
134
Contains an Introduction to Navigation the Definitions of all
145
What a Traverse or Compound Course is 4 p
162
The third Example with its Answer by making Allowance for
169
IHow the Radixs of mean Motion of the Sun are obtained p 465
175
The Application of this Method in the Investigation of the Series
183
The Use of the preceeding Table in the Solution of Traverses
194
A Problem of great Use in drawing the Draught of any Haven
207
How to find the Leeway a Ship makes p
213
What Currents are and how to allow for them pztB
221
SECTION VII
232
A Table flic wing how many miles answer to a Degree of Longitude
242
b That
346
t 353
353
SECTION XV
366
The Method of raising and letting fall Perpendiculars at and over
367
The Meridional Parts answering to 5 and 10 degrees of Latitude
368
Containing the Method of finding the Latit ude s of Places or Heights
373
after the fame manner between London and Boston in New England
375
Not considered by the modern Pretenders to the Discovery of
383
What is meant by the Variation p
385
What is meant by Leeway and from what Causes it arises p
405
endeavoured throout the Wftole Course of this Work to
463
That he is not placed in the Center df the great Orb p
467
The Keplermn Way of computing the Prcftbapbœresis
475
Examples to the fbregoing Method p
481
A direct Method for finding the Place of the Sun from these
487
New Solar Tables deduced from the Flamjleedian Observations
493
The Use of these Tables for the ready computing of the Suns
501
A Table hewing the Right Ascension of the Sun to every two
524
The Application of the preceding Rules to the Projection of
548
The Reason why in many Cafes the Stereographic Representations
558
That the common Problems of the Sphere are resolved with more
567
Contains a Solution of the chief and primary Problems in Astronomy
568
That the great Orb in which the Earth moves is but as a Physical
576
That the Hypothesis of the Earths Motion is the most ancient
593
To find the Difference of Latitude between two Places P599
599
To find the Distance between two places upon the Globe p
605
To find the Longitude of a Star p
619
What a Month is and its several Kinds explained p
636
What the Epatt is and whence it arises p
645
Of the Nature and Construction ot Logarithms from p 655
656
An Invtstigatipn of Sir Isaac Newton s Binomial Series
669
An Investigation of the Series for finding the Number from the
690

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