Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to Become a Compleat Navigator ... |
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Page 39
... Case several Ways : As thus , Radius .. AC :: S. BAC S. ACB AB :: S. BAC .. .. Sec . BAC AC :: T. BAC Radius .. AB :: T. BAC Sec , ACB .. AC : Radius T. ACB AB Radius .. BC Leagues 99.4 Tenths . Problem IV . Cafe 6 and 7. The Leg given ...
... Case several Ways : As thus , Radius .. AC :: S. BAC S. ACB AB :: S. BAC .. .. Sec . BAC AC :: T. BAC Radius .. AB :: T. BAC Sec , ACB .. AC : Radius T. ACB AB Radius .. BC Leagues 99.4 Tenths . Problem IV . Cafe 6 and 7. The Leg given ...
Page 45
... Case of Oblique Triangles ) may be this : S. BCD Side BD :: S. CBD .. Side CD . S. 30d . 58m ... 76 Leag . :: S. 1oid . 30m ... Leag.144.7 Tenths . Axiom 4. Rom the half Sum of the three Sides , fubtract each Side ( but firft that Side ...
... Case of Oblique Triangles ) may be this : S. BCD Side BD :: S. CBD .. Side CD . S. 30d . 58m ... 76 Leag . :: S. 1oid . 30m ... Leag.144.7 Tenths . Axiom 4. Rom the half Sum of the three Sides , fubtract each Side ( but firft that Side ...
Page 46
... Case of Right - Angled - Triangles , in Page 38. Thus . Hypot . BD .. Radius :: Leg AB . S. ADB . 85 Feet S.god . :: 75 Feet S. 61d . 56m . god . oom . Which fubtracted from · Remainder is the Angle CBD - 28d . 28d . 04m . as before ...
... Case of Right - Angled - Triangles , in Page 38. Thus . Hypot . BD .. Radius :: Leg AB . S. ADB . 85 Feet S.god . :: 75 Feet S. 61d . 56m . god . oom . Which fubtracted from · Remainder is the Angle CBD - 28d . 28d . 04m . as before ...
Page 57
... CASE I. { South- } ward , the Lati- CASE II . South- } { South Latitude failing to the Northward , the Lati- tude decreaseth , fubtract . And here Note , When the Latitude decreaseth , and the Differ- ence of Latitude is greater than ...
... CASE I. { South- } ward , the Lati- CASE II . South- } { South Latitude failing to the Northward , the Lati- tude decreaseth , fubtract . And here Note , When the Latitude decreaseth , and the Differ- ence of Latitude is greater than ...
Page 129
... Case 1 . of Spheric Geometry , in Page 116 . 2. By Problem 2. Cafe 2. in Page 112. make the Angle ADC equal to 27d . 30m . by drawing the Oblique Circle DC , with the Secant thereof . 3. Draw ( by Problem 9. Cafe 2. in Page 121 ) a ...
... Case 1 . of Spheric Geometry , in Page 116 . 2. By Problem 2. Cafe 2. in Page 112. make the Angle ADC equal to 27d . 30m . by drawing the Oblique Circle DC , with the Secant thereof . 3. Draw ( by Problem 9. Cafe 2. in Page 121 ) a ...
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Epitome of the Art of Navigation: Or, a Short, Easy and Methodical Way to ... James Atkinson,William Mountaine No preview available - 2018 |
Common terms and phrases
adjacent Angle alfo Anfw Angle ACB Angle BAC Angle oppofite Axiom Barbadoes Cafe Center Column Compafs Courfe Courſe defcribed Departure Diameter Diff Difference of Latitude Difference of Longitude Diſtance Dominical Letter draw Eaft Eafterly Ecliptic Epact equal Equator Equinoctial Example faid fame fecond Feet fhew fheweth firft firſt fubtract Globe greateſt half hath Horizon Hour Hypothenufe AC Inches Leag Leagues lefs Leg BC Line Lizard Logarithm meaſured Merid Meridian Altitude Minutes Sine neareſt North Number Obfervation Oblique Circle Oblique Triangle Parallel perpendicular Plane Plate Points Pole Primitive Circle Prob Proportion Radius Remainder reprefented Right Afcenfion Right Circle Rule Rumb Ship fails Ship's Side AC Side CD Sine Complement Sine Tangent Secant Solid Content South Latitude Spheric Geometry Spheric Triangle Spheric Trigonometry Star's Sun's Altitude Sun's Azimuth Sun's Declination Sun's Place thefe theſe Trigono tude Weft Wefterly whofe
Popular passages
Page 123 - We infer from this that a triangle can be constructed with three given lines as sides, when the sum of any two sides is greater than the third side.
Page 47 - BD, is to their Difference ; fo is the Tangent of half the Sum of the Angles BDC and BCD, to the Tangent of half their Difference.
Page 159 - AZIMCTR circles, called azimuths, or vertical circles, are great circles of the sphere, intersecting each other in the zenith and nadir, and cutting the horizon at right angles in all the points thereof.
Page 149 - ... globe. A Strait is a narrow part of the ocean lying between two shores, and opening a way into some sea, as the Straits of Gibraltar that lead into the Mediterranean Sea. A Creek is a small narrow part of the sea or river, that goes up but a little way into the land.
Page 138 - ... the angle CGH (1. PI. Tr.): But since CG, HG are at right angles to DGB, which is the common section of the planes CBD, ABD, the angle CGH will be equal to the inclination of these planes (6.
Page 107 - Difference of Latitude, is to the Difference of Longitude ; fo is the Sine Complement of the Middle Latitude, to the Tangent of the Courfe, or more briefly thus : As Diff.
Page 216 - ... as the radius is to the tangent of the latitude ; so is the tangent of the sun's declination to the sine of the ascensional difference sought. This, converted into time, shows how much he rises...
Page ii - Navigatio Britannica: or, a complete System of Navigation, in all its Branches, both with regard to theory and practice; containing Geometry, Plane and Spherical Trigonometry, Astronomy, and the doctrine of the Sphere, &c.
Page 137 - Is to the cosine of half their difference, So is the cotangent of half the contained angle To the tangent of half the sum of the other angle*.
Page 207 - OH the globe by the divisions on the quadrant of altitude, in its motion about the body of the globe, when screwed to the zenith. PARALLELS of declination, in astronomy, are the same with parallels of latitude, in geography. PARALLEL sphere...