Course of Civil Engineering: Comprising Plane Trigonometry, Surveying, and Levelling with Their Application to the Construction of Common Roads, Railways, Canals, Harbours...Samuel J. Machen, 1842 - 301 pages |
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Page 129
... 99891 99896 99900 99904 99909 998 99913 99917 99922 99926 99930 99935 99939 99943 99948 99952 999 99956 99961 99965 99970 99974 99978 99983 99987 99991 99996 band I 00 10 20 30 40 N. sin N. cos N. LOGARITHMS OF NUMBERS . 129.
... 99891 99896 99900 99904 99909 998 99913 99917 99922 99926 99930 99935 99939 99943 99948 99952 999 99956 99961 99965 99970 99974 99978 99983 99987 99991 99996 band I 00 10 20 30 40 N. sin N. cos N. LOGARITHMS OF NUMBERS . 129.
Page 130
... N. sin N. cos N. sin N.cos N. sin N.cos N. sin N.cos N. sin N.cos 0 00000 1.00000 01745 99985 03490 99939 05234 99863 06976 99756 60 100029 1.00000 0177499984 03519 99938 05263 99861 07005 ... N.cos N. sin 130 TABLE II.- -NATURAL SINES .
... N. sin N. cos N. sin N.cos N. sin N.cos N. sin N.cos N. sin N.cos 0 00000 1.00000 01745 99985 03490 99939 05234 99863 06976 99756 60 100029 1.00000 0177499984 03519 99938 05263 99861 07005 ... N.cos N. sin 130 TABLE II.- -NATURAL SINES .
Page 131
... N. sin N.cos N. sin N.cos N. sin N.cos N. sin N.cos N. sin N.cos 0 08716 99619 10453 99452 12187 99255 13917 99027 15643 98769 60 . 1 08745 99617 10482 99449 12216 99251 13946 99023 15672 98764 59 ... N. sin N.cos N. sin NATURAL SINES . 131.
... N. sin N.cos N. sin N.cos N. sin N.cos N. sin N.cos N. sin N.cos 0 08716 99619 10453 99452 12187 99255 13917 99027 15643 98769 60 . 1 08745 99617 10482 99449 12216 99251 13946 99023 15672 98764 59 ... N. sin N.cos N. sin NATURAL SINES . 131.
Page 132
... N.cos N. sin N.cos N. sin N.cos N. sin N.cos N. sin | N.cos 118 0 17365 98481 19081 98163 20791 97815 22495 97437 24192 97030 60 1 17393 98476 19109 98157 20820 97809 22523 97430 24220 97023 59 2 17422 98471 19138 98152 20848 97803 ...
... N.cos N. sin N.cos N. sin N.cos N. sin N.cos N. sin | N.cos 118 0 17365 98481 19081 98163 20791 97815 22495 97437 24192 97030 60 1 17393 98476 19109 98157 20820 97809 22523 97430 24220 97023 59 2 17422 98471 19138 98152 20848 97803 ...
Page 133
... N.cos N. sin | N.cos N. sin N.cos N. sin N.cos N. sin N.cos 0 25882 96593 27564 96126 29237 95630 30902 95106 32557 94552 60 125910 96585 27592 96118 29265 95622 30929 95097 32584 94542 59 2 25938 96578 27620 96110 29293 95613 30957 ...
... N.cos N. sin | N.cos N. sin N.cos N. sin N.cos N. sin N.cos 0 25882 96593 27564 96126 29237 95630 30902 95106 32557 94552 60 125910 96585 27592 96118 29265 95622 30929 95097 32584 94542 59 2 25938 96578 27620 96110 29293 95613 30957 ...
Other editions - View all
Course of Civil Engineering: Comprising Plane Trigonometry, Surveying, and ... John Gregory No preview available - 2018 |
Course of Civil Engineering: Comprising Plane Trigonometry, Surveying, and ... John Gregory No preview available - 2022 |
Course of Civil Engineering: Comprising Plane Trigonometry, Surveying, and ... John Gregory No preview available - 2022 |
Common terms and phrases
acres angles of elevation ascertain base line bisect boundary calculation centre chain chords circumferentor compasses cosecant Cosine Sine Cotang Cotang Sine Cosine deducted degrees diameter difference direction distance divided divisions equal error extend extremities feet field-book figure find the angle given ground height Hence horizontal instrument length line of numbers line of sines line of tangents logarithmic mark measure the angles meridian method minutes N.cos natural number natural sine needle object observed angles offsets Ordnance Survey parish perches perpendicular plane triangle plotted position Prop protractor quotient radius right angles right-angled triangle roods scale secant sextant sin N.cos N Sine Cosine Tang Sine Cotang Tang SINES AND TANGENTS spherical angles spherical excess spherical triangle surveyor taken theodolite three angles took the angle Townlands triangle ABC trigonometrical survey versed sine vertical yards
Popular passages
Page 1 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Page 211 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 180 - Mile, or jA« of the actual size. each inclosure, minute errors in many of which would escape observation, if not checked by comparison with the correctly ascertained whole. It is essential, in fact, to arrive at the total area of the Parish by direct admeasurement of the space included within its external boundary ; and the simplest and cheapest means by which a Survey and Plan may be made for effecting this object appear to me to be as follows : 1st.
Page 108 - I wanted to know the distance between two places, A and B, but could not meet with any station from whence I could see both objects. I measured a line CD — 200 yards ; from C the object A was visible, and from D the object B was visible, at each of which places I set up a pole. I also measured FC = 200 yards, and DE=200 yards, and at F and E set up poles. I then measured the angle AFC = 83°, ACF = 54° 31', ACD=53° 30', BDC = 156° 25', BDE=54° 30', and BED= 88° 30'.
Page 15 - ... fourth ; consequently, on the lines on the scale the distance between the first and second term will be equal to the distance between the third and fourth. And for a similar reason, because four proportional quantities are alternately proportional, the distance between the first and third terms will be equal to the distance between the second and fourth. Hence the following General Rule. The extent of the compasses from the first term to the second will reach, in this same direction, from the...
Page 11 - Pt. with which it must always be compared when used. The line of equal parts is marked from the right hand to the left with 0, 10, 20, 30, &c; each of these large divisions represents 10 degrees of the equator, or 600 miles. The first of these divisions is sometimes divided into 40 equal parts, each representing 15
Page 221 - ... for points of observation, the instrument cannot be placed exactly at the centre of the signal, and consequently the angle observed will be different from that which would have been found at the centre. The correction is generally very small, and is only necessary where great accuracy is required. The observer may be considered in three different positions with respect to the centre, viz. he is either in a line with the centre and one of the objects ; or a line drawn from the centre through his...
Page 50 - BFC, as the square of the radius is to the square of the tangent of half the angle BAC opposite to the base.
Page 198 - ... order to register all that is done relative to the survey in hand. This book every one contrives and rules as he thinks fit. It is, however, usually divided into three columns. The middle column contains the different distances on the chain-line, angles, bearings, &c., and the columns on the right and left are for the off-sets on the right and left, which are set against their corresponding distances in the middle column ; as also for such remarks as may occur, and may be proper to note in drawing...
Page 290 - As radius Is to the tangent of the latitude; So is the tangent of the sun's declination To the sine of the ascensional difference sought. This, converted into time, shows how much he rises...