A Treatise on TrigonometryG.W. Jones, 1890 - 160 Seiten |
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Seite 44
... right , read −.44098 ; or , better , throw out 90 ° , and take out nat - sin 26 ° 10 ' . So , to take out log - tan 60 ° 20 ′ : Over log tangent and 60 ° and opposite 20 ' on the right ... nearest tabular angles be- tween which the given ...
... right , read −.44098 ; or , better , throw out 90 ° , and take out nat - sin 26 ° 10 ' . So , to take out log - tan 60 ° 20 ′ : Over log tangent and 60 ° and opposite 20 ' on the right ... nearest tabular angles be- tween which the given ...
Seite 94
... right , so are p , P or q , Q. Q.E. D. COR . 2. In a right spherical triangle , not biquadrantal , the hypothenuse is nearer right than either oblique side . For ・.⋅ cos r = cosp cos q , and cosp , cos q≤1 , ..cos r cosp , cos q ...
... right , so are p , P or q , Q. Q.E. D. COR . 2. In a right spherical triangle , not biquadrantal , the hypothenuse is nearer right than either oblique side . For ・.⋅ cos r = cosp cos q , and cosp , cos q≤1 , ..cos r cosp , cos q ...
Seite 96
... right , since the defects of the tables permit this discrepancy in the two results ; if such discrepancy exist , the ... nearer right than p , or when r , p are both right . [ th . 5 cr . 2 The formula gives two values to P ...
... right , since the defects of the tables permit this discrepancy in the two results ; if such discrepancy exist , the ... nearer right than p , or when r , p are both right . [ th . 5 cr . 2 The formula gives two values to P ...
Seite 111
... right angle ; · . · b is nearer right than p and than a , [ th . 5 cr . 2 . : . if A , a be of { the same opposite species , there is one triangle . no The arc a reaches the base at one point and subtends the angle a or the supplement ...
... right angle ; · . · b is nearer right than p and than a , [ th . 5 cr . 2 . : . if A , a be of { the same opposite species , there is one triangle . no The arc a reaches the base at one point and subtends the angle a or the supplement ...
Seite 114
... nearer right than B : then . sin B < 1 , and в , b are of the same species , [ th . 7 cr . 1 ... there is one triangle . The terminal arc of a passes through the vertex c twice : in the one position A is subtended by arc a , in the ...
... nearer right than B : then . sin B < 1 , and в , b are of the same species , [ th . 7 cr . 1 ... there is one triangle . The terminal arc of a passes through the vertex c twice : in the one position A is subtended by arc a , in the ...
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Häufige Begriffe und Wortgruppen
abscissa algebraic arc-ordinate area swept axis celestial sphere centre circle computation cos² cosc cosecant cosp cot Q cotangent difference of latitude difference of longitude direction draw ecliptic equal equator formulæ formulæ of th geom horizon hour-angle hypothenuse law of sines let xop log-cot log-sin logarithmic meridian miles nat-sin nearer right negative angle oblique angle oblique triangle observer's obtuse opposite ordinate perpendicular plane angle plane sailing polar pole positive and less positive angle possible errors prime vertical PROB projection quarter radians radius ratios right angles right ascension right spherical triangle right triangles sailing secant segment side sin b sin sin² Solve species straight line subtended sun's tan² tangent terminal line thence THEOR theorem triangle ABC trigonometric functions values vertex vertical angle wherein
Beliebte Passagen
Seite 126 - There are in general use three different kinds of time, True Solar Time — also called Apparent Solar Time — Mean Solar Time, and Sidereal Time. True or Apparent Solar Time is measured by the diurnal motion of the Sun, the length of the day being the interval between two successive transits of the Sun over the same meridian, and the time of day being the hour-angle of the Sun westward from the meridian. Owing to the obliquity of the ecliptic and to the lack of uniformity of the motion of the Earth...
Seite 121 - As to the horizon : The altitude of a star is its angular distance from the horizon measured on a vertical circle ; and the arc of the horizon intercepted between this circle and the south point of the horizon is the star's azimuth. Owing to the rotation of the celestial sphere, the horizon-coordinates change every moment.
Seite 10 - The radian is the plane angle with its vertex at the center of a circle that is subtended by an arc equal in length to the radius.
Seite 75 - Two observers on the same side of a balloon, and in the same vertical plane with it, are a mile apart, and find the angles of elevation to be 17° and 68° 25' respectively : what is its height ? [1836 feet.
Seite 107 - The law of sines states that in any spherical triangle the sines of the sides are proportional to the sines of their opposite angles: sin a _ sin b __ sin c _ sin A sin B sin C...
Seite 88 - Each angle of a spherical triangle is greater than the difference between two right angles and the sum of the other two angles.
Seite 73 - A wall is surrounded by a ditch ; from the edge of this ditch the angle of elevation of a point on the top of the wall is found to be 35° ; and at a distance of 100 yards from the ditch the angle of elevation of the same point...
Seite 20 - If the radius of a circle be divided in extreme and mean ratio, the greater segment is equal to one side of a regular inscribed decagon.
Seite 104 - ... cos a = cos b cos с + sin b sin с cos A ; (2) cos b = cos a cos с + sin a sin с cos в ; ^ A. (3) cos с = cos a cos b + sin a sin b cos C.
Seite 42 - C = 1 + 4 sin £A sin £B sin £C. 37. tan A + tan B + tan C = tan A tan B tan C.