An Introduction to the Theory and Practice of Plain and Spherical Trigonometry: And the Stereographic Projection of the Sphere : Including the Theory of Navigation ...Longman, Rees, Orme, Brown, and Green, 1826 - 442 σελίδες |
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Σελίδα 34
... cosec . of a and , secant of angle c = cosec . of a hypoth.::tang . of angle c = cotan . of △ base . hypoth . :: radius : perpend . ( B ) HENCE . Tangent of angle c , or co - tangent of A : base :: radius : perpendicular . Any of the ...
... cosec . of a and , secant of angle c = cosec . of a hypoth.::tang . of angle c = cotan . of △ base . hypoth . :: radius : perpend . ( B ) HENCE . Tangent of angle c , or co - tangent of A : base :: radius : perpendicular . Any of the ...
Σελίδα 40
... Cosec A cos A.b sine c . b r.b cot A. b r r sec A CoSec A CASE II . Given the angles and the base , to find the hy- pothenuse and the perpendicular . * Logarithmical formulæ are easily supplied , thus in the first case ( log . sine a + ...
... Cosec A cos A.b sine c . b r.b cot A. b r r sec A CoSec A CASE II . Given the angles and the base , to find the hy- pothenuse and the perpendicular . * Logarithmical formulæ are easily supplied , thus in the first case ( log . sine a + ...
Σελίδα 41
... Cosec A. a · b = = sine A COS C tang A r CASE IV . Given the hypothenuse and the base , to find the angles and the perpendicular . 7. C b · SOLUTION . Cos A = sine b sec A Cosec c = C b -C tang Ar b + c Having found the angles , the ...
... Cosec A. a · b = = sine A COS C tang A r CASE IV . Given the hypothenuse and the base , to find the angles and the perpendicular . 7. C b · SOLUTION . Cos A = sine b sec A Cosec c = C b -C tang Ar b + c Having found the angles , the ...
Σελίδα 101
... Cosec . A Cos . ( 90 ° + = COS . ( 90 ° sine A Cot . ( 90 ° + A ) cot . ( 90 ° A ) tang . A A ) = sec . A Cosec . ( 90 ° + 1 ) = cosec . ( 90 ° Also if a represent any arc greater than 90 ° . Cos . A = ― COS . Tang . A = Cot . A ...
... Cosec . A Cos . ( 90 ° + = COS . ( 90 ° sine A Cot . ( 90 ° + A ) cot . ( 90 ° A ) tang . A A ) = sec . A Cosec . ( 90 ° + 1 ) = cosec . ( 90 ° Also if a represent any arc greater than 90 ° . Cos . A = ― COS . Tang . A = Cot . A ...
Σελίδα 102
... cosec . ( 90 ° —14 ) = cosec . 180 ° -A 2 180 ° -A 2 And as A , in trigonometry , must always be less than 180 ° , A will always be less than 90 ° , and consequently its sine , tangent , & c . will have the same sign as in the table ( K ...
... cosec . ( 90 ° —14 ) = cosec . 180 ° -A 2 180 ° -A 2 And as A , in trigonometry , must always be less than 180 ° , A will always be less than 90 ° , and consequently its sine , tangent , & c . will have the same sign as in the table ( K ...
Συχνά εμφανιζόμενοι όροι και φράσεις
acute Aldebaran angle CAB Answer apparent altitude azimuth base centre circle co-tangent compasses complement CONSTRUCTION cosec cosine degrees diff difference of latitude difference of longitude draw ecliptic equator Euclid find the angle formulæ given side greater Greenwich Hence horizon horizontal parallax hypoth hypothenuse less line of numbers line of sines log sine measured meridian miles moon's N.sine N.cos Naut Nautical Almanac noon North oblique observed obtuse opposite angle parallax parallel perpendicular plane sailing Plate pole prime vertical PROPOSITION quadrant Rad x sine rad2 radius rhumb line right angles right ascension right-angled spherical triangle RULE scale of chords scale of equal SCHOLIUM secant side AC sine A sine sine BC Sine Co-sine sphere spherical angle spherical triangle ABC star star's subtract sun's declination supplement tang tangent of half three angles three sides Trigonometry true altitude versed sine
Δημοφιλή αποσπάσματα
Σελίδα 21 - 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 2 - 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 28 - The CO-SINE of an arc is the sine of the complement of that arc as L.
Σελίδα 107 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 31 - An angle at the circumference of a circle is measured by half the arc that subtends it. Let BAC be an angle at the circumference : it has for its measure half the arc "BC, which subtends it.
Σελίδα 136 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Σελίδα 258 - 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 28 - 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.
Σελίδα 27 - 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.