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 17
... consequently are applied to a larger scale of chords as appears by Fig . III . ( F ) Equal Parts . The divisions of the line AC to form the miles of longitude may be considered as a scale of equal parts , and on some plain scales are ...
... consequently are applied to a larger scale of chords as appears by Fig . III . ( F ) Equal Parts . The divisions of the line AC to form the miles of longitude may be considered as a scale of equal parts , and on some plain scales are ...
Σελίδα 24
... consequently on the lines on the scale , the distance between the first and second term will be equal to the distance between the third and fourth . And for a similar reason , because four prò- portional quantities are alternately ...
... consequently on the lines on the scale , the distance between the first and second term will be equal to the distance between the third and fourth . And for a similar reason , because four prò- portional quantities are alternately ...
Σελίδα 31
... that arc . For the angle FCB is double the angle rbв ( Euclid III . and 20. ) consequently the arc oc , of which cm is the tangent , is the half of the arc BF . that that are . * The tangent of 45 ° is CHAP . I. 31 PLANE TRIGONOMETRY .
... that arc . For the angle FCB is double the angle rbв ( Euclid III . and 20. ) consequently the arc oc , of which cm is the tangent , is the half of the arc BF . that that are . * The tangent of 45 ° is CHAP . I. 31 PLANE TRIGONOMETRY .
Σελίδα 32
... consequently the angle BTC will be half a right angle ; the triangle is therefore isosceles , and BC BT . Though the secant of an arc , and the secant of its supplement , be the same in quantity , they have contrary directions like the ...
... consequently the angle BTC will be half a right angle ; the triangle is therefore isosceles , and BC BT . Though the secant of an arc , and the secant of its supplement , be the same in quantity , they have contrary directions like the ...
Σελίδα 46
... consequently it is ambiguous . ( F ) II . When two sides and the angle contained between them are given . * The sum of the two given sides , Is to their difference ; As the co - tangent of half the contained angle , Is to the tangent of ...
... consequently it is ambiguous . ( F ) II . When two sides and the angle contained between them are given . * The sum of the two given sides , Is to their difference ; As the co - tangent of half the contained angle , Is to the tangent of ...
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.