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 |
From inside the book
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Page x
... less than five years after their first appearance . Such is the reward which the author has received for his labour ! They are now new modelled , and though the author would be extremely sorry to shackle the progress of science , he ...
... less than five years after their first appearance . Such is the reward which the author has received for his labour ! They are now new modelled , and though the author would be extremely sorry to shackle the progress of science , he ...
Page xxvii
... less , the sign of subtraction , and shews that the second quantity is to be taken from the first ; as CB - GB shews that the line CB is to be diminished by the line GB . x , Into or by , the sign of multiplication ; as EDX DC sig ...
... less , the sign of subtraction , and shews that the second quantity is to be taken from the first ; as CB - GB shews that the line CB is to be diminished by the line GB . x , Into or by , the sign of multiplication ; as EDX DC sig ...
Page xxviii
... Less than , as AB , shews A to be less than B. The other characters are explained among the definitions ' in the work . N. B. The letters within the parentheses , at the beginning of the different paragraphs of the work , are references ...
... Less than , as AB , shews A to be less than B. The other characters are explained among the definitions ' in the work . N. B. The letters within the parentheses , at the beginning of the different paragraphs of the work , are references ...
Page 2
... less than 1 , that is , they will be decimals ; between 10 and 100 they will be greater than 1 and less than 2 , that is , they will be expressed by 1 with decimals annexed ; between 100 and 1000 the logarithms are expressed by 2 with ...
... less than 1 , that is , they will be decimals ; between 10 and 100 they will be greater than 1 and less than 2 , that is , they will be expressed by 1 with decimals annexed ; between 100 and 1000 the logarithms are expressed by 2 with ...
Page 4
... less than the number of figures contained in the natural whole number to which it belongs . ( C. 2. ) Required the logarithm of 5 . Look in the table in the column marked No. for 5 and against it in the column log . stands 69897. The ...
... less than the number of figures contained in the natural whole number to which it belongs . ( C. 2. ) Required the logarithm of 5 . Look in the table in the column marked No. for 5 and against it in the column log . stands 69897. 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.