Elements of Plane And Spherical Trigonometry With Their Applications to Mensur
Elements of Plane And Spherical Trigonometry With Their Applications to Mensur
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In our eReader you can find the full English version of the book. Read Elements of Plane And Spherical Trigonometry With Their Applications to Mensur Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Plane And Spherical Trigonometry With Their Applications to Mensur
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This table may be computed in the fol lowing manner : According to Art. 197, cosine of latitude is to radius, as the departure is to the difference of longitude ; that is, as a part of a parallel of latitude is to a like part of the equator, of any meridian.
But by Art. 28, cosine : R : : R : secant ; hence 1' of a parallel : V of a meridian : : R : sec. Latitude. But on Mercator's chart the distance between the meridians is the same in all latitudes ; that is, a minute on a parallel of latitud...e is equal to a minute at the equator, or a geographical mile. Hence the length of one minute, on any part of a me- ridian, is equal to the secant of the latitude. Thus, The first minute of the meridian = the secant of 1' ; second " " = " 2', third " " = " 3', &c. , &c.
The table of meridional parts is formed by adding together the minutes thus found. Thus, Mer. Parts of 1' sec. 1' ; Mer. Parts of 2'= sec. I'+sec. 2' ; Mer. Parts of 3'=sec. I'+sec. 2'+sec. 3'; Mer. Parts of 4' sec. I'+sec. 2'+sec.
What to read after Elements of Plane And Spherical Trigonometry With Their Applications to Mensur?
You can find similar books in the "Read Also" column, or choose other free books by Elias Loomis to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
This table may be computed in the fol lowing manner : According to Art. 197, cosine of latitude is to radius, as the departure is to the difference of longitude ; that is, as a part of a parallel of latitude is to a like part of the equator, of any meridian.
But by Art. 28, cosine : R : : R : secant ; hence 1' of a parallel : V of a meridian : : R : sec. Latitude. But on Mercator's chart the distance between the meridians is the same in all latitudes ; that is, a minute on a parallel of latitud...e is equal to a minute at the equator, or a geographical mile. Hence the length of one minute, on any part of a me- ridian, is equal to the secant of the latitude. Thus, The first minute of the meridian = the secant of 1' ; second " " = " 2', third " " = " 3', &c. , &c.
The table of meridional parts is formed by adding together the minutes thus found. Thus, Mer. Parts of 1' sec. 1' ; Mer. Parts of 2'= sec. I'+sec. 2' ; Mer. Parts of 3'=sec. I'+sec. 2'+sec. 3'; Mer. Parts of 4' sec. I'+sec. 2'+sec.
What to read after Elements of Plane And Spherical Trigonometry With Their Applications to Mensur?
You can find similar books in the "Read Also" column, or choose other free books by Elias Loomis to read onlineMoreLess
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