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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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 45
... suppose the hypothenuse radius , ( where it can be done , ) being the most simple of the three . 1. Extend the compasses from 90 ° to 53.8 ' on the line of sines , that extent will reach from 480 to 384 on the line of numbers . 2 ...
... suppose the hypothenuse radius , ( where it can be done , ) being the most simple of the three . 1. Extend the compasses from 90 ° to 53.8 ' on the line of sines , that extent will reach from 480 to 384 on the line of numbers . 2 ...
Σελίδα 54
... suppose that in working any problem , by a table calcu lated to seconds , and carried to 7 places of decimals , the result of the operation should produce 9.9999998 a sine or co - sine . By the tables this is the sine of any arc be- ( I ) ...
... suppose that in working any problem , by a table calcu lated to seconds , and carried to 7 places of decimals , the result of the operation should produce 9.9999998 a sine or co - sine . By the tables this is the sine of any arc be- ( I ) ...
Σελίδα 62
... suppose I measured 500 yards along the side of the river in a straight line AB and found the two angles be- tween this line and the ob- ject to be CAB = 74 ° .14 ′ , and CBA 49 ° .23 ' . Re- quired the distance between each station and ...
... suppose I measured 500 yards along the side of the river in a straight line AB and found the two angles be- tween this line and the ob- ject to be CAB = 74 ° .14 ′ , and CBA 49 ° .23 ' . Re- quired the distance between each station and ...
Σελίδα 64
... Suppose I wanted to know the distance between two places A and B , accessible at both ends of the line AB , and that I measured AC 735 yards , and BC = 840 , also the angle ACB 55 ° .40 ' . What is the distance between A and B ? BC + AC ...
... Suppose I wanted to know the distance between two places A and B , accessible at both ends of the line AB , and that I measured AC 735 yards , and BC = 840 , also the angle ACB 55 ° .40 ' . What is the distance between A and B ? BC + AC ...
Σελίδα 66
... Suppose the base line in the foregoing example had been 908.36 feet , the angle ACB = 14 ° .34 ' , and ACD = 60 ° .50 ' ; also the angle ADC 96 ° .44 ' , and BDC = 115 ° .23 ′ ; what would have been the distance AB in this case ? Answer ...
... Suppose the base line in the foregoing example had been 908.36 feet , the angle ACB = 14 ° .34 ' , and ACD = 60 ° .50 ' ; also the angle ADC 96 ° .44 ' , and BDC = 115 ° .23 ′ ; what would have been the distance AB in this case ? Answer ...
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.