CONTENTS OF APPENDIX 



A. — To proTO that Tan Convergency = Tan Dep . Tan Mid Lat - - 516 



B. — In Graduating a Chart on the Gnomonic Projection - - 517 



C. —To prove Chord = 2 rad I Vers (90 + 2) -1 ! - - - 519 



T^ m T^ 1 .• . ii HT J- Cos ^ . Cos d Vers A -nr. 



D. — To prove Reduction to the Meridian = ^~. • -ft- — ^/ - ozu 



^ Sm 2 fern 1 



E. — To show that the Distance of Horizon in EngUsh Miles 



= yj- height in feet - - - - - 521 



F.— Base by Sound - - - - - - - 522 



G.— Form for Deck Book - - - " ' '. - 523 



H. — ,, Chronometer Comparison Book - - - - 524 



j._Table of Chords of Arcs - - - - - - 525 



L. — ,, Lengths of Degrees, Minutes and Seconds - - - 537 



M. — „ Reduction to the Meridian .... 551 



N. — ,, Dip for Calculating Heights .... 553 



O. — ,, Angles subtended by Various Lengths at Different Dis- 

 tances ------- 554 



P. — ,, Distance of Visible Horizon .... 555 



Q. — „ Distance of Sea Horizon .... - 556 



R. — ,, for Ten-foot pole -...-- 557 



S. — ,, of Time in Decimals of a Day ... - 558 



X. — ,, Metrical and English Barometers - - - - 553 



U. — „ Corresponding Thermometers - - - - 56) 



V. — ,, Foreign Measures of Depth - - - - 50 1 



W. — „ Angles subtended by known Distance - - - 502 



