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
... Distances The Determination of Areas Plotting a Survey . The Traverse Table ... To find the Area of a Field Trigonometrical Surveys .. Variation of the Needle .. Leveling Topographical Maps - Setting out Rail - way Curves .. Surveying ...
... Distances The Determination of Areas Plotting a Survey . The Traverse Table ... To find the Area of a Field Trigonometrical Surveys .. Variation of the Needle .. Leveling Topographical Maps - Setting out Rail - way Curves .. Surveying ...
Page 46
... distance from 7 to 7 , and so on for other lines . о 3 ' 8 ' 9 10 The sector also contains a line of chords , arranged like the line of equal parts already mentioned . Two lines of chords are drawn , one on each arm of the sector ...
... distance from 7 to 7 , and so on for other lines . о 3 ' 8 ' 9 10 The sector also contains a line of chords , arranged like the line of equal parts already mentioned . Two lines of chords are drawn , one on each arm of the sector ...
Page 63
... 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 ? Ans . , 7980 feet . Ex . 2. How many ...
... 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 ? Ans . , 7980 feet . Ex . 2. How many ...
Page 70
... distance between them 26 ? Ans . , 2136.7527 . The radius of the circle in this example will be found to be 50 . PROBLEM XII . ( 102. ) To find the area of a ring included between the cir cumferences of two concentric circles . RULE ...
... distance between them 26 ? Ans . , 2136.7527 . The radius of the circle in this example will be found to be 50 . PROBLEM XII . ( 102. ) To find the area of a ring included between the cir cumferences of two concentric circles . RULE ...
Page 78
... distance AH is 561 feet ; the distance DK is 820 feet ; 66 66 HI is 858 feet ; 66 66 KL is 825 feet ; 66 ID is 825 feet ; 66 66 LG is 330 feet . The perpendicular BH is 18 feet ; the perpendicular KE is 19 feet ; CI is 20 feet ; " 66 LF ...
... distance AH is 561 feet ; the distance DK is 820 feet ; 66 66 HI is 858 feet ; 66 66 KL is 825 feet ; 66 ID is 825 feet ; 66 66 LG is 330 feet . The perpendicular BH is 18 feet ; the perpendicular KE is 19 feet ; CI is 20 feet ; " 66 LF ...
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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.