An Introduction to the Theory and Practice of Plane and Spherical Trigonometry, and the Stereographic Projection of the Sphere: Including the Theory of Navigation ...author, 1810 - 420 pages |
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Page viii
... oblique - angled spherical triangles , from which several useful rules are derived . The sixth Chapter is , in substance , the same as the IVth Chapter of Book II . in the first edition , but the mode of de- monstration has been varied ...
... oblique - angled spherical triangles , from which several useful rules are derived . The sixth Chapter is , in substance , the same as the IVth Chapter of Book II . in the first edition , but the mode of de- monstration has been varied ...
Page xix
... OBLIQUE - ANGLED PLANE TRIANGLES , & c . · Page 42 43 忠街 43 47 · 49 to 55 2. Rules for solving all the cases of oblique triangles 3. Practical examples , exercising the rules in oblique- angled plane triangles THE APPLICATION OF PLANE ...
... OBLIQUE - ANGLED PLANE TRIANGLES , & c . · Page 42 43 忠街 43 47 · 49 to 55 2. Rules for solving all the cases of oblique triangles 3. Practical examples , exercising the rules in oblique- angled plane triangles THE APPLICATION OF PLANE ...
Page xx
... oblique - angled plane triangles 127 BOOK III . CHAPTER I. DEFINITIONS , & c . OF SPHERICAL ANGLES , CHAP . II . ARCS , AND TRIANGLES · 2. General properties of spherical angles , & c . 129 130 to 147 THE STEREOGRAPHIC PROJECTION OF THE ...
... oblique - angled plane triangles 127 BOOK III . CHAPTER I. DEFINITIONS , & c . OF SPHERICAL ANGLES , CHAP . II . ARCS , AND TRIANGLES · 2. General properties of spherical angles , & c . 129 130 to 147 THE STEREOGRAPHIC PROJECTION OF THE ...
Page xxi
... OBLIQUE- ANGLED SPHERICAL TRIANGLES , WITH A CHAP . VI . CHAP . VII . PERPENDICULAR The manner of applying BARON NAPIER'S rule to oblique spherical triangles 191 191 to 200 2. Rules for solving all the different cases of oblique- angled ...
... OBLIQUE- ANGLED SPHERICAL TRIANGLES , WITH A CHAP . VI . CHAP . VII . PERPENDICULAR The manner of applying BARON NAPIER'S rule to oblique spherical triangles 191 191 to 200 2. Rules for solving all the different cases of oblique- angled ...
Page xxii
... OBLIQUE - ANGLED SPHERICAL TRIANGLES TO ASTRONOMICAL 260 PROBLEMS 262 to 308 262 1. To find the beginning , end , and duration of twi- light 2. Given the day of the month , the latitude of the place , the horizontal refraction , and the ...
... OBLIQUE - ANGLED SPHERICAL TRIANGLES TO ASTRONOMICAL 260 PROBLEMS 262 to 308 262 1. To find the beginning , end , and duration of twi- light 2. Given the day of the month , the latitude of the place , the horizontal refraction , and the ...
Other editions - View all
An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith No preview available - 2017 |
An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith No preview available - 2014 |
Common terms and phrases
acute adjacent angle altitude angle CAB Answer apparent altitude azimuth base centre circle co-tangent complement CONSTRUCTION cosec cosine degrees diff draw ecliptic equation Euclid find the angle formulæ given angle given side Given The side greater half the sum Hence horizon hypoth hypothenuse latitude less line of numbers line of sines logarithm logarithmical sine longitude measured meridian miles moon's Nautical Almanac North oblique observed obtuse opposite angle parallax parallel perpendicular Plate pole primitive PROPOSITION quadrant Rad x sine rad² radius right ascension right-angled spherical triangle RULE scale of chords scale of equal SCHOLIUM secant semi-tangents side AC sine A sine sine BC sine of half sine² species spherical angle spherical triangle ABC star star's straight line subtract sun's declination supplement tang tang AC tangent of half three sides Trigonometry versed sine
Popular passages
Page 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 136 - Consequently, a line drawn from the vertex of an isosceles triangle to the middle of the base, bisects the vertical angle, and is perpendicular to the base.
Page 6 - And if the given number be a proper vulgar fraction ; subtract the logarithm of the denominator from the logarithm of the numerator, and the remainder will be the logarithm sought ; which, being that of a decimal fraction, must always have a negative index.
Page xxvi - A New Treatise on the Use of the Globes; or, a Philosophical View of the Earth and Heavens : comprehending an Account of the Figure, Magnitude, and Motion of the Earth : with the Natural Changes of its Surface, caused by Floods, Earthquakes, Ac.
Page 32 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Page 31 - The sine, or right sine, of an arc, is the line drawn from one extremity of the arc, perpendicular to the diameter passing through the other extremity. Thus, BF is the sine of the arc AB, or of the arc BDE.
Page 240 - The HORIZON is a great circle which separates the visible half of the heavens from the invisible ; the earth being considered as a point in the centre of the sphere of the fixed stars.
Page 240 - ... ZENITH DISTANCE of any celestial object is the arc of a vertical circle, contained between the centre of that object and the zenith ; or it is what the altitude of the object wants of 90 degrees.
Page 197 - The sum of the two sides of a triangle is to their difference as the tangent of half the sum of the angles at the base is to the tangent of half their difference.
Page 32 - The SECANT of an arc, is a straight line drawn from the center, through one end of the arc, and extended to the tangent which is drawn from the other end.