The Complete Mathematical and General Navigation Tables: Including Every Table Required with the Nautical Almanc in Finding the Latitude and Longitude: with an Explanation of Their Construction, Use, and Application to Navigation and Nautical Astronomy, Trigonometry, Dialling, Gunnery, EtcSimpkin, Marshall, & Company, 1838 |
Dentro del libro
Resultados 1-5 de 69
Página xix
... terms are substituted for the mystical abstruseness of analytical expressions ; and thus the whole of that hitherto occult and highly interesting sci- ence is brought down to the standard of ordinary capacities , and re- duced to the ...
... terms are substituted for the mystical abstruseness of analytical expressions ; and thus the whole of that hitherto occult and highly interesting sci- ence is brought down to the standard of ordinary capacities , and re- duced to the ...
Página 27
... terms , that will , in general , express the required proportional part . Example . Required the moon's longitude , and latitude , semidiameter , and horizon- tal parallax , August 2nd , 1824 , at 3:10 " , mean time , in longitude 60:30 ...
... terms , that will , in general , express the required proportional part . Example . Required the moon's longitude , and latitude , semidiameter , and horizon- tal parallax , August 2nd , 1824 , at 3:10 " , mean time , in longitude 60:30 ...
Página 35
... terms which make up the mean second difference , in both parts of the Table , is , in such case , to be taken . The manner of applying the equation of second difference to the proportional part of the moon's motion in latitude and ...
... terms which make up the mean second difference , in both parts of the Table , is , in such case , to be taken . The manner of applying the equation of second difference to the proportional part of the moon's motion in latitude and ...
Página 62
... term 2. 3. or 10. & c . of the geometrical series of whole num- bers . In these series it is obvious , that if any two indices be added together , their sum will be the index of that number which 62 DESCRIPTION AND USE OF THE TABLES .
... term 2. 3. or 10. & c . of the geometrical series of whole num- bers . In these series it is obvious , that if any two indices be added together , their sum will be the index of that number which 62 DESCRIPTION AND USE OF THE TABLES .
Página 63
... terms : thus , the index 8. minus the index 3 = 5 ; and the terms corresponding to these indices are 256 and 8 , the quo- tient of which , viz . , 32 , is the number corresponding to the index 5 , in the first series . And , if the ...
... terms : thus , the index 8. minus the index 3 = 5 ; and the terms corresponding to these indices are 256 and 8 , the quo- tient of which , viz . , 32 , is the number corresponding to the index 5 , in the first series . And , if the ...
Contenido
355 | |
361 | |
368 | |
374 | |
381 | |
385 | |
394 | |
405 | |
83 | |
102 | |
114 | |
116 | |
123 | |
147 | |
154 | |
179 | |
193 | |
202 | |
209 | |
215 | |
221 | |
227 | |
236 | |
248 | |
262 | |
272 | |
285 | |
294 | |
296 | |
301 | |
305 | |
309 | |
315 | |
319 | |
321 | |
330 | |
337 | |
349 | |
413 | |
419 | |
426 | |
432 | |
451 | |
462 | |
515 | |
525 | |
531 | |
551 | |
565 | |
570 | |
580 | |
588 | |
601 | |
606 | |
640 | |
647 | |
652 | |
670 | |
680 | |
695 | |
701 | |
708 | |
720 | |
726 | |
732 | |
739 | |
745 | |
Términos y frases comunes
90 degrees add the log angle of meeting answering approximate auxiliary angle celestial object co-secant co-sine co-tangent co-versed sine comp computed Constant log Corr correction course and distance decimal fraction departure Diff difference of latitude difference of longitude distance sailed earth equal equator Example find the Angle find the Difference fixed star given angle Given arch given log given side hence hypothenuse A C leg AC mean solar merid meridian meridional difference middle latitude miles minutes moon's apparent altitude moon's horizontal parallax multiplied natural number natural sine natural versed sine Nautical Almanac noon observation perpendicular B C plane PROBLEM prop proportional log quadrant radius reduced refraction right angled right ascension right-hand rising and setting secant semidiameter ship side A B side BC sidereal day spherical distance spherical triangle star's subtracted Table tabular tangent trigonometry true altitude tude versed sine supplement
Pasajes populares
Página 59 - 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.
Página 206 - 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.
Página 258 - If two triangles have two angles of the one equal to two angles...
Página 59 - ... progression, to which those indices belong. Thus, the indices 2 and 3, being added together, make 5 ; and the numbers 4 and 8, or the terms corresponding to those indices, being multiplied together, make 32, which is the number answering to the index 5.
Página 59 - 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.
Página 152 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Página 153 - 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.
Página 154 - REDUCTION OF DECIMALS. CASE I. . To reduce a Vulgar Fraction to a Decimal Fraction of equal value.
Página 177 - II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Página 243 - II. the difference of latitude and departure corresponding to each course and distance, and set them in their respective columns : then the difference between the sums of the northings and southings will be the difference of latitude made good, of the same name with the greater ; and the difference between the sums of the eastings and westings will be the departure made good, of the same name with the greater quantity.