Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful Tables |
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Page 6
... Parallel Sailing Middle Latitude Sailing . Mercator's Sailing .. Nautical Charts BOOK V. NAVIGATION . 1 Page 94 95 97 103 104 106 109 · 114 117 119 123 127 130 132 133 135 138 141 144 146 149 153 BOOK VI . SPHERICAL TRIGONOMETRY . Right ...
... Parallel Sailing Middle Latitude Sailing . Mercator's Sailing .. Nautical Charts BOOK V. NAVIGATION . 1 Page 94 95 97 103 104 106 109 · 114 117 119 123 127 130 132 133 135 138 141 144 146 149 153 BOOK VI . SPHERICAL TRIGONOMETRY . Right ...
Page 43
... parallel rule consists of two flat rules , made of wood or ivory , and connected together by two cross - bars of equal length , and parallel to each other . This instrument is useful for drawing a line parallel to a given line , through ...
... parallel rule consists of two flat rules , made of wood or ivory , and connected together by two cross - bars of equal length , and parallel to each other . This instrument is useful for drawing a line parallel to a given line , through ...
Page 44
... parallel tɔ AB , through the points of division of BC . Then , in the trian- gle ADE , the base , DE , is one tenth of an inch ; and , since the line AD is divided into ten equal parts , and through the points of division lines are ...
... parallel tɔ AB , through the points of division of BC . Then , in the trian- gle ADE , the base , DE , is one tenth of an inch ; and , since the line AD is divided into ten equal parts , and through the points of division lines are ...
Page 52
... parallel to AC . Because the triangles BCH , FCI are similar , we have CB : CF :: BH : FI ; or R : cos . b :: sin . a : FI . Therefore , sin . a cos . b FI = R Also , CB : CF :: CH : CI ; or R : cos . b :: cos . a : CI . . Therefore ...
... parallel to AC . Because the triangles BCH , FCI are similar , we have CB : CF :: BH : FI ; or R : cos . b :: sin . a : FI . Therefore , sin . a cos . b FI = R Also , CB : CF :: CH : CI ; or R : cos . b :: cos . a : CI . . Therefore ...
Page 63
... parallel sides into their per pendicular distance . For demonstration , see Geometry , Prop . 7 , B. IV . Ex . 1. What is the area of a trapezoid whose parallel sides are 156 and 124 , and the perpendicular distance between them 57 feet ...
... parallel sides into their per pendicular distance . For demonstration , see Geometry , Prop . 7 , B. IV . Ex . 1. What is the area of a trapezoid whose parallel sides are 156 and 124 , and the perpendicular distance between them 57 feet ...
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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.