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 σελίδες |
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Σελίδα ix
... cosines out of the tables ; as the observed distance is never very small , nor ever near 180 degrees . The Nautical Almanac was first published in the year 1767 ; from which time , no treatise on Trigonometry had appeared , Containing ...
... cosines out of the tables ; as the observed distance is never very small , nor ever near 180 degrees . The Nautical Almanac was first published in the year 1767 ; from which time , no treatise on Trigonometry had appeared , Containing ...
Σελίδα xvii
... all the propositions 11 THE USE OF THE TABLES OF SINES AND TANGENTS · 1. To find the natural sine or cosine of an arc , also the logarithmical sine , tangent , secant , & e . C 12 12 2. To CHAP . IV . 1 CHAP . V. Page 2.
... all the propositions 11 THE USE OF THE TABLES OF SINES AND TANGENTS · 1. To find the natural sine or cosine of an arc , also the logarithmical sine , tangent , secant , & e . C 12 12 2. To CHAP . IV . 1 CHAP . V. Page 2.
Σελίδα xviii
... cosine , & c . of an arc to seconds · 3. To find the degrees , minutes ; or degrees , minutes , and seconds , corresponding to any given logarithmical sine , tangent , & c . 4. To find the natural or logarithmical versed sine of an arc ...
... cosine , & c . of an arc to seconds · 3. To find the degrees , minutes ; or degrees , minutes , and seconds , corresponding to any given logarithmical sine , tangent , & c . 4. To find the natural or logarithmical versed sine of an arc ...
Σελίδα xx
... cosines of the POWERS of ARCS . 118 to 120 7. The determination of the value of the sine and of the cosine , & c . of any arc , in terms of that arc , by infinite series , & c . 120 to 123 8. The construction of a table of sines , & c ...
... cosines of the POWERS of ARCS . 118 to 120 7. The determination of the value of the sine and of the cosine , & c . of any arc , in terms of that arc , by infinite series , & c . 120 to 123 8. The construction of a table of sines , & c ...
Σελίδα 12
... cosine , & c . stands the sine , cosine , & c . required . If the degrees are more than 45 , they must be found at the bottom of the table , and the minutes ( if any ) must be found in the right hand co- lumn . The name in this case ...
... cosine , & c . stands the sine , cosine , & c . required . If the degrees are more than 45 , they must be found at the bottom of the table , and the minutes ( if any ) must be found in the right hand co- lumn . The name in this case ...
Άλλες εκδόσεις - Προβολή όλων
An Introduction to the Theory and Practice of Plane and Spherical ... Thomas Keith Πλήρης προβολή - 1820 |
An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
An Introduction to the Theory and Practice of Plain and Spherical ... Thomas Keith Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 32 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.