## The Practical Miner's Guide: Comprising a Set of Trigonometrical Tables, Adapted to All Purposes of Oblique Or Diagonal, Vertical, Horizontal, and Traverse Dialling ... : Also, a Treatise on the Art and Practice of Assaying Silver, Copper, Lead, and Tin ... : Together with a Collection of Essential Tables, Rules, and Illustrations, Exclusively Applicable to the Mining Business ... |

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adit angle Answer appear applied assay base bearing called centre consequently contained copper course cross Decimals depth diagonal dial dialling diameter difference direction discovered distance ditto divide draft drawing driving dwts east equal error EXAMPLE fath fathoms feet fixed foot given gives hand History horizontal hypothenuse inches known lead length lode mark means measure method miner mining minutes multiply nearly observed obtain operation opposite perpendicular practice PROBLEM produce proportion prove radius remainder remark respecting right angles rope RULE sample scale shaft side silver slide square stand standard subtract sunk suppose surface survey Tabular taken thing third traverse Treatise triangle true underlay vols weight whole winze yarns

### Popular passages

Page 131 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 217 - USED IN THE FOREGOING WORK. Acclivity, the rising steepness of a hill. Aliquot, such a part of a number or quantity as is contained in it so many times without a remainder. Angle, the space between two lines which cross each other. Base, the bottom, the foundation. Bisect, to divide into two parts. Complement, so much of an angle as is wanting to make a right angle. Construction, the contriving such lines and figures as will show the truth of a problem. Corollary, conclusion drawn from antecedent...

Page iii - PRACTICAL MINER'S GUIDE. Comprising a Set of Trigonometrical Tables adapted to all the purposes of Oblique or Diagonal, Vertical, Horizontal, and Traverse Dialling ; with their application to the Dial, Exercise of Drifts, Lodes, Slides, Levelling, Inaccessible Distances, Heights, &c.

Page 25 - Look in the third table, and opposite the given angle (as in the former cases) the corresponding numbers to one fathom of base will be seen, which, being multiplied by the given length of the base, produces the hypothenuse and perpendicular.

Page 95 - Again take 14 feet, 5£ inches from the same scale, and apply it to the other line BC for the base ; draw the hypothenuse to join AC, which by the same scale will be found to measure 197 feet. FOR THE ANGLE. With the chord of 60° in your compasses and centre A, describe an arc ed cutting AB and AC in d and e ; then take the distance ed in your compasses, and setting one foot on the brass pin at the beginning of the chords on your scale, observe how many degrees the other foot reaches to, which will...

Page 14 - Divide as in whole numbers, and point off as many figures for decimals in the quotient, as the decimal places in the dividend exceed those in the divisor.

Page 154 - Add the logarithm of the given side to the sine of the angle opposite to the side required, and from the sum subtract the sine of the angle opposed to the given side; the remainder will be the logarithm of the side required. SYSTEM. There is much propriety in the remark, that " system is the handmaid of science," and the term may be considered as used in contradistinction to disorder, irregularity, or random.

Page 186 - ... fathoms 2 feet 8 inches at the end of the 6th draft, and 55 fathoms from the western mouth of the tunnel. • PROBLEM. It is intended to sink a shaft on the end of a level driven from Pendarves' shaft, and the following is the survey from the centre of Pendarves' shaft to the end of the level ; viz.

Page xvi - ... signifying that the former of the two quantities between which it is placed is to be divided by the latter. ; as, or to,'.'.

Page 170 - ... north of east, and so of all the rest. In winding up this course of instruction, we will take a short survey, and go through with it at length, and the student may accompany us if he pleases ; for we are still of the same opinion as when we wrote the first volume, that practical teaching is the best.