The Complete Mathematical and General Navigation Tables: Including Every Table Necessary to be Used with the Nautical Almanac in Finding the Latitude and Longitude : with Their Description and Use, Comprising the Principles of Their Construction, and Their Direct Application to Plane and Spherical Trigonometry, Navigation, Nautical Astronomy, Dialling, Practical Gunnery, Mensuration, Guaging &c. &c, Τόμος 1Baldwin and Cradock, 1828 - 664 σελίδες |
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Σελίδα xxxix
... natural versed sines . Table XXI . , which is also new , contains the correction of the auxiliary angle when the ... sine of an arch being the natural versed sine of the same arch . The numbers contained in the remaining 90 degrees of ...
... natural versed sines . Table XXI . , which is also new , contains the correction of the auxiliary angle when the ... sine of an arch being the natural versed sine of the same arch . The numbers contained in the remaining 90 degrees of ...
Σελίδα 53
... sine , natural versed sine supplement , natural co - versed sine , natural sine or natural cosine of any arch , may be readily taken out at sight . The numbers expressed in this Table may be ... Natural versed sines, and natural sines.
... sine , natural versed sine supplement , natural co - versed sine , natural sine or natural cosine of any arch , may be readily taken out at sight . The numbers expressed in this Table may be ... Natural versed sines, and natural sines.
Σελίδα 55
... Sine of the Arc of 2 Minutes . As radius 1 : 2 :: .0002908882 to .0005817764 , and .0005817764 -.00000000000005817764 ; which , therefore , is the sine of the ... Natural Versed Sine of 30 Degrees NB DESCRIPTION AND USE OF THE TABLES . 55.
... Sine of the Arc of 2 Minutes . As radius 1 : 2 :: .0002908882 to .0005817764 , and .0005817764 -.00000000000005817764 ; which , therefore , is the sine of the ... Natural Versed Sine of 30 Degrees NB DESCRIPTION AND USE OF THE TABLES . 55.
Σελίδα 56
... Natural Versed Sine of 30 Degrees NB , in the Diagram . Since the versed sine of an arc is represented by that part of the diame- ter which is contained between the sine and the arc ; therefore N B is the versed sine of the arc B F ...
... Natural Versed Sine of 30 Degrees NB , in the Diagram . Since the versed sine of an arc is represented by that part of the diame- ter which is contained between the sine and the arc ; therefore N B is the versed sine of the arc B F ...
Σελίδα 57
... natural versed sinès are given to every tenth second of the semicircle ; the corresponding arcs being arranged at ... sine supplement , natural co - versed sine under 90 degrees , or natural cosine , of a given degree , is found in the ...
... natural versed sinès are given to every tenth second of the semicircle ; the corresponding arcs being arranged at ... sine supplement , natural co - versed sine under 90 degrees , or natural cosine , of a given degree , is found in the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
24 hours ascension at noon auxiliary angle celestial object co-secant co-sine co-tangent column computed Constant log Correction of ditto corresponding course and distance decimal declination at noon degrees departure Diff difference of latitude difference of longitude dist east equation Example fixed star Greenwich Half sum hence horizontal parallax hypothenuse King's Island leg AC mean merid meridian meridian of Greenwich meridional altitude meridional difference middle latitude miles minutes moon's apparent altitude Moon's reduced Moon's true natural number natural versed sine Nautical Almanac observed altitude perpendicular place of observation planet's Port Jackson Problem Prop proportional log radius reduced right ascension refraction required the true RULE secant seconds semi-diameter side A B spherical distance spherical triangle spherical trigonometry subtracted sun's declination sun's lower limb Sun's reduced right Sun's right ascension Table tangent true altitude true central altitude true central distance watch
Δημοφιλή αποσπάσματα
Σελίδα 19 - Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from 180°. The difference of the required angles is then found by Theorem II. Half the difference added to half the sum gives the greater angle, and, subtracted, gives the less angle.
Σελίδα 484 - AZIMUTH, in astronomy, an arch of the horizon, intercepted between the meridian of the place and the azimuth, or vertical circle passing through the centre of the object, which...
Σελίδα 212 - For the purpose of measuring angles, the circumference is divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; each minute into 60 equal parts called seconds.
Σελίδα 63 - And, if the logarithm of any number be divided by the index of its root, the quotient will be equal to the logarithm of that root. Thus the index or logarithm of 64 is 6 ; and, if this number be divided by 2, the quotient will be = 3, which is the logarithm of 8, or the square root of 64.
Σελίδα 63 - Also, between the mean, thus found, .and the nearest extreme, find another geometrical mean, in the same manner ; and so on, till you are arrived within the proposed limit of the number whose logarithm is sought.
Σελίδα 487 - ... reckoned from the north in north latitude, but from the south in south latitude. » In observations of the altitude of the sun'< loiter limb (by afore enervation) it is u«u»l to »<M 12' for tic cBecl of dip, parallax, ami sern diameter.
Σελίδα 159 - When there happens to be a remainder after the division ; or when the decimal places in the divisor are more than those in the dividend ; then ciphers may be annexed to the dividend, and the quotient carried on as far as required.
Σελίδα 681 - The Young Navigator's Guide to the Sidereal and Planetary Parts of Nautical Astronomy.
Σελίδα 649 - ... position with respect to a luminous body, can cast a circular shadow ; likewise all calculations of eclipses, and of the places of the planets, are made upon supposition that the earth is a sphere, and they all answer to the true times when accurately calculated. When an eclipse of the moon happens, it is observed sooner by those who live eastward than by those who live westward ; and, by frequent experience, astronomers have determined that, for every fifteen degrees difference of longitude,...
Σελίδα 183 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.