Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
From inside the book
Results 1-5 of 8
Page 87
... equator ? Ans . , 78,293,218 square miles . P G H K D B Let PEP'Q represent a meridian of the earth ; EQ the equator ; P , P ' the poles ; AB one of the tropics , and GH one of the polar circles . Then PK will represent the height of ...
... equator ? Ans . , 78,293,218 square miles . P G H K D B Let PEP'Q represent a meridian of the earth ; EQ the equator ; P , P ' the poles ; AB one of the tropics , and GH one of the polar circles . Then PK will represent the height of ...
Page 135
... equator is a great circle perpendicular to the earth's axis . Meridians are great circles passing through the poles of the earth . Every place on the earth's surface has its own meridian . ( 190. ) The longitude of any place is the arc ...
... equator is a great circle perpendicular to the earth's axis . Meridians are great circles passing through the poles of the earth . Every place on the earth's surface has its own meridian . ( 190. ) The longitude of any place is the arc ...
Page 136
... equator . Latitude is reckoned north and south of the equator , from 0 ° to 90 ° . Parallels of latitude are the circumferences of small circles parallel to the equator . The difference of latitude of two places is the arc of a me ...
... equator . Latitude is reckoned north and south of the equator , from 0 ° to 90 ° . Parallels of latitude are the circumferences of small circles parallel to the equator . The difference of latitude of two places is the arc of a me ...
Page 139
... equator . Let AB be a rhumb - line , or the track described by a ship in sailing from A to B on a uniform course . Let the whole distance be divided into portions Ab , bc , & c . , so small E P A h that the curvature of the earth may be ...
... equator . Let AB be a rhumb - line , or the track described by a ship in sailing from A to B on a uniform course . Let the whole distance be divided into portions Ab , bc , & c . , so small E P A h that the curvature of the earth may be ...
Page 144
... equator , and DE any parallel of lati- tude ; then will CA be the radius of the equator , and FD the radius of the parallel . Let DE be the distance sailed by the ship F on the parallel of latitude , then the difference of longitude ...
... equator , and DE any parallel of lati- tude ; then will CA be the radius of the equator , and FD the radius of the parallel . Let DE be the distance sailed by the ship F on the parallel of latitude , then the difference of longitude ...
Other editions - View all
Common terms and phrases
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Popular passages
Page 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Page 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Page 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Page 54 - 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.
Page 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Page vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Page 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.