A Treatise on Mathematical Instruments: Including Most of the Instruments Employed in Drawing, for Assisting the Vision, in Surveying and Levelling, in Practical Astronomy, and for Measuring the Angles of Crystals : in which Their Construction, and the Methods of Testing, Adjusting, and Using Them, are Concisely ExplainedJ. Weale, 1859 - 170 pages |
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... 10 20 30 40 50 60 70 00 + L 2 70 H V A TREATISE MATHEMATICAL ON INSTRUMENTS , INCLUDING MOST OF THE. 11 Hours 40 of Miles 10 20 30 40 30 20 Equal Parts ! Latitudes 60 Chords 60 70 80 80 10 Sine V. Sines Secants S 99. Plate 1 .
... 10 20 30 40 50 60 70 00 + L 2 70 H V A TREATISE MATHEMATICAL ON INSTRUMENTS , INCLUDING MOST OF THE. 11 Hours 40 of Miles 10 20 30 40 30 20 Equal Parts ! Latitudes 60 Chords 60 70 80 80 10 Sine V. Sines Secants S 99. Plate 1 .
Page 15
... latitudes † . Corresponding lines of hours and latitudes may also be con structed ( as represented in our figure ) more simply , and on a scale twice as large as by the preceding method , as follows : With the chord of 45 ° set off from ...
... latitudes † . Corresponding lines of hours and latitudes may also be con structed ( as represented in our figure ) more simply , and on a scale twice as large as by the preceding method , as follows : With the chord of 45 ° set off from ...
Page 16
... latitudes , must be so constructed necessarily . In the accom- panying diagram ( plate 1 , fig 2 ) we have laid down the hours and latitudes to a radius equal to the whole length of the scale , the other lines being laid down to the ...
... latitudes , must be so constructed necessarily . In the accom- panying diagram ( plate 1 , fig 2 ) we have laid down the hours and latitudes to a radius equal to the whole length of the scale , the other lines being laid down to the ...
Page 17
... latitude in- dicated by the degrees on the corresponding points of the line of chords . Example . - A ship in latitude 60 ° N. sailing E. 79 miles , required the difference of longitude between the beginning and end of her course ...
... latitude in- dicated by the degrees on the corresponding points of the line of chords . Example . - A ship in latitude 60 ° N. sailing E. 79 miles , required the difference of longitude between the beginning and end of her course ...
Page 18
... latitude , which are to be numbered 0 to 90 , from the equator to either pole for the latitudes . With distances from the center to the divisions set off upon w E as semi - minor axes , and the distance from c to N or s , equal to ...
... latitude , which are to be numbered 0 to 90 , from the equator to either pole for the latitudes . With distances from the center to the divisions set off upon w E as semi - minor axes , and the distance from c to N or s , equal to ...
Other editions - View all
A Treatise On Mathematical Instruments: Including Most of the Instruments ... John Fry Heather No preview available - 2022 |
A Treatise on Mathematical Instruments: Including Most of the Instruments ... John F Heather No preview available - 2016 |
Common terms and phrases
accuracy adjustment altitude arc of excess artificial horizon attached azimuth beam compasses bisected bubble called chain chords chromatic dispersion clamp coincide columns compasses construction correction cosec cross wires dark glasses described diaphragm difference direct image Ditto ditto divided drawing edge equal extent will reach eye-piece feet figure fixed focal length goniometer graduated Gunter's chain half hinge-joint horizon glass inches index error index glass instru instrument intersection latitude lens lenses line of collimation line of sines logarithmic marked means measured ment meridian microscope moved object object-glass observed parallax parallel plate screws pencil perpendicular plane position primary divisions prism protractor radius rays reading reflected image reflector refracting telescopes refraction represent right ascension round scale sextant side sixth column spirit level square staff station strument subdivisions tangents telescope theodolite transit transverse distance tube turning vernier plate vernier scale vertical circle zero
Popular passages
Page 148 - ... half by turning the small screw at one end of the level. Repeat the operation till the bubble retains the same position in both positions of the level, and the axis will be horizontal. To adjust the Line of Collimation in Azimuth. — Direct the telescope to some distant, small, and well-defined object, and bisect it by one extremity of the middle vertical wire, giving the telescope the azimuthal motion necessary for this purpose by turning the screw s. By elevating or depressing the telescope,...
Page 143 - ... for that being constant, the result would in some measure be vitiated thereby. " When both the reflected and direct images require to be darkened, as is the case when the sun's diameter is measured, and when his altitude is taken with an artificial horizon, the attached dark glasses ought not to be used : instead of them, those which apply to the eye-end of the telescope will answer much better ; the former having their errors magnified by the power of the telescope, will, in proportion to this...
Page 101 - ... is out of adjustment, and requires correcting. The end to which the bubble retires must then be noticed, and the bubble made to return one.half the distance by turning the parallel plate screws, and the other half by turning the capstan.headed screw at the end of the bubble. tube. The telescope must now again be reversed, and the operation...
Page 131 - Then press downwards the branches ee, which will cause the points to make punctures in the paper at opposite sides of the circle ; which being afterwards connected, the line will pass through the given angular point, if the instrument was first correctly set. In this manner, at one setting of the instrument, a great number of angles may be laid off from the same point. It is not essential that the centre be over the given point, when applied to...
Page 125 - ... of its run by turning these screws. The bubble will now retain its position while the vernier plate is turned completely round, showing that the internal azimuthal axis about which it turns is truly vertical. The bubbles of the levels on the vernier plate, being now, therefore, brought to the centers of their tubes, will be adjusted to show the •vertically of the internal azimuthal axis.
Page 93 - Ten arrows must be provided with the chain, about 12 inches long, pointed at one end, so as to be easily pressed into the ground, and turned at the other end, so as to form a ring, to serve for a handle. In using the chain marks are first to be set up at the extremities of the line to be measured. Two persons are then required to perform the measurement. The chain leader starts with the ten arrows in his left hand, and one end of the chain in his right, while the follower remains at the starting...
Page 24 - From the center at a draw the line ag for the axis of the gnomon agi, and from g let fall the perpendicular gi upon the horizontal meridian line an, and there will be formed a triangle ag i.
Page 9 - ON SCALES. Scales of equal parts are used for measuring straight lines, and laying down distances, each part answering for one foot, one yard, one chain, &c., as may be convenient, and the plan will be larger or smaller as the scale contains a smaller or a greater number of parts in an inch. Scales of equal parts may be divided into three kinds ; simply divided scales, diagonal scales, and vernier scales.
Page 133 - E., and W. respectively. Add up these several columns, and, if the work is so far correct, the sum of the northings will equal the sum of the southings, and the sum of the eastings will equal the sum of the westings. Then in two additional columns enter the whole quantities of northing and easting, made at the termination of each of the several...
Page 102 - Place the instrument half way between the stakes a and b, and read the staff A, placed on the stake a, and also the staff B, placed on the stake b ; call the two readings, A...