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, Volumen1

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T. Page, W. & F. Mount, 1723
 

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The Sine of an Arch being given to find the Sine of half the Arch
60
The Series it felf for finding the Length of any Arch from its Right
66
The Application of the former Series to the actual finding the
70
The Ufe and Excellency of this Method and how it may be applied
77
The Application of the fame Series to the inveftigating of the Cir
81
5th To find the Superficies of a Sphere different Ways p
87
SECTION III
93
Several Methods deduced from the 6th Axiom for finding
100
What the Tables of Sines Tangents and Secants are and their
103
SECTION V
119
Various Ways of Refolving the 6th Caſe P
128
PART III
134
SECTION I
145
The ft Example with its Solution p
163
The third Example with its Anfwer by making Allowance for
169
The Method of drawing Tangents to the Circle and finding
187
The Uſe of the preceeding Table in the Solution of Traverfes
194
A Problem of great Ufe in drawing the Draught of any Haven
207
How to find the Leeway a Ship makes P
213
A Traverſe Current with its Solution p
221
SECTION VII
232
Contains Queſtions with their Solutions relating to Sailing under
236
The Solution of a Traverſe by this Method p
252
How the fame Meridional Parts may be found by the help of
258
Contains the Application of the Doctrine of Right Angled Plane
266
Methods for difcovering the Distances of Places by the firing
280
The Application of the former Section to the actual Solution of
295
That this Rectilinearity of the Rumb Line is the chief and prima
316
NB The Tables of Meridional Parts being computed after
285
How the difference of Longitude in Mercators Sailing may be found
299
Tangents only from p 303 to 310
310
That if the distorted Parts when projected retain between themſelves
316
Contains the Conftruction and Ufe of the Mercators Chart from
325
The Difficulty or rather Impoffibility of failing exactly by or upon
330
A Solution of the two chief and primary Problems in Mercators Sail
350
373
373
Rules and Directions for keeping a Journal P
434
That the Inequality of the days or the Equation of time arifes from
444
The Ufe of thefe Tables in finding the Apparent or Solar time
452
SECTION XX
458
The Length of the Solar Year determined from the FlamfleedianOb
462
The ancient Method made Ufe of for allowing for the Inequality
468
Examples to the foregoing Method P
475
The Newtonian Way of finding the fame directly P
481
A direct Method for finding the Place of the Sun from thefe
487
Contains the Theory of the Sun and the Conftruction and Ufe of
492
New Solar Tables deduced from the Flamsteedian Obfervations
493
The Use of thefe Tables for the ready computing of the Suns
501
A Table fhewing the Right Afcenfion of the Sun to every two
525
Contains general Laws for the defcribing of any great or ſmall Cir
537
The Application of the preceding Rules to the Projection of
548
The Application of the fame Laws to the Projection of the Sphere
553
The Reaſon why in many Cafes the Stereographic Reprefentations
558
The Uſe of the Analemma or Orthographic Projection of
562
That the great Orb in which the Earth moves is but as a Phyfical
577
Contains the Ufe of both Globes
591
To find the Latitudes of Places
598
To find the Merid Altitude or Merid Zenith Diſtance
608
To find the Beginning and End of Twilight c f
614
To find the Length of the Day c at any place within the Artic
619
To find the Right Afcenfion c of a Star p
620
What a Scruple is and its various Kinds P
628
The Roman Way of dividing their Months P
635
The Ufe of the Metonic Cycle or Golden Number in finding the times
642
The Ufe of the Epactin finding when Eafter Day and the reft of
649
Of the Nature and Conſtruction of Logarithms from p 655
656
p 687
662
An Inveſtigation of Sir Ifaac Newtons Binomial Series p
669
Another Inftance of the Difference of Longitude being determined
674
How the Logarithmic Sine Tangent c of any Arch may be found
686
An Inftance of the Ufe of Logarithms in finding the Value of Annui
694

Términos y frases comunes

alfo anfwering Arch Bafe Barbadoes Baſe becauſe Chart Circle Circumference Co-fine confequently Conftr Courfe 50 Courſe and Diſtance defcribe Dep Lat Dep Departure Diameter Diff Difference of Latitude Difference of Longitude Dift direct Courſe direct Distance Diſt Diſtance fail'd draw Eaft Eaſt equal Equator fame fecond feveral fhall fince find the Latitude firft firſt Geometrically given Headland Hence interfects Iſlands Lat Dep Lat Latitude the Ship Leagues leffer Lizard Logarithmic Tangent Merid Meridian Meridional Difference Meridional Diſtance Middle Latitude Miles Minutes North Number Obfervation Parallel Parallelogram Perpendicular Place Plain Sailing Plain Triangles Point Port propofed Proportion Quadrant Radius reprefent required to find Right Line Right-angled Rumb Line Secant Sect ſhe Ship fails Ships true Side Sine South Square Starboard Tack Suppofe thefe theſe thro Triangle ABC true Courſe Uſe Weft Weſt whence to find Wherefore

Información bibliográfica

TítuloA 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, Volumen1
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, James Hodgson
AutorJames Hodgson
EditorT. Page, W. & F. Mount, 1723
Procedencia del originalUniversidad de Michigan
Digitalizado23 Jul. 2011
  
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