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 29
Page 29
... computed for the minutes placed opposite to them , increased by 30 " , and are not strictly applicable to any other number of seconds ; nevertheless , the differences for the most part change so slowly , that the error resulting from ...
... computed for the minutes placed opposite to them , increased by 30 " , and are not strictly applicable to any other number of seconds ; nevertheless , the differences for the most part change so slowly , that the error resulting from ...
Page 65
... computed the following table of the areas of regular polygons , in which the side of each poly- gen is supposed to be a unit . Names . TABLE OF REGULAR POLYGONS . Sides . Arcas . Triangle , 3 0.4330127 . Square , 4 1.0000000 . Pentagon ...
... computed the following table of the areas of regular polygons , in which the side of each poly- gen is supposed to be a unit . Names . TABLE OF REGULAR POLYGONS . Sides . Arcas . Triangle , 3 0.4330127 . Square , 4 1.0000000 . Pentagon ...
Page 68
... computed from the radius of the circle , and either the chord or height of the arc . Thus , let AB be the chord , and DE the A height of the arc ADB , and C the center D B E C of the circle . Then , in the right - angled tri- angle ACE ...
... computed from the radius of the circle , and either the chord or height of the arc . Thus , let AB be the chord , and DE the A height of the arc ADB , and C the center D B E C of the circle . Then , in the right - angled tri- angle ACE ...
Page 77
... compute the excavation or embankment for a rail - way . ( 115. ) By the preceding rule may be computed the amount of excavation or embankment required in constructing a rail- road or canal . If we divide the line of the road into ...
... compute the excavation or embankment for a rail - way . ( 115. ) By the preceding rule may be computed the amount of excavation or embankment required in constructing a rail- road or canal . If we divide the line of the road into ...
Page 81
... Compute the amount of excavation of the hill ABCD from the following data : The distance AH is 325 feet ; the perpendicular BH is 12 feet ; 66 66 HI is 672 feet ; 66 66 CI is 13 feet . 66 66 ID is 534 feet . The base of the cutting to ...
... Compute the amount of excavation of the hill ABCD from the following data : The distance AH is 325 feet ; the perpendicular BH is 12 feet ; 66 66 HI is 672 feet ; 66 66 CI is 13 feet . 66 66 ID is 534 feet . The base of the cutting to ...
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.