8. The _Cosecant_ of an arc is the secant of the complement.

9. The _Versed Sine_ of an arc is the distance from the extremity of the

arc to the foot of the sine.

For the sake of brevity, these technical terms are contracted thus: for

sine _A B_, we write _sin. A B_; for cosine _A B_, we write _cos. A B_;

for tangent _A B_, we write _tan. A B_, etc.

[Illustration: INSTRUMENTS AND MATERIALS]

[Illustration: Fig. 137.]

Drawing Materials and Instruments.

Drawing tools or instruments are contrived solely for mechanical

drawing; aside from this use they are perfectly worthless, hence the

quality of these special utensils is a matter of the first consideration

to the earnest student.

There are several degrees of excellence to be found in the make-up of

drawing instruments and materials; it may be remarked with truth that

“any kind are good enough, and the best none too good,” i. e., a learner

in this delightful art should not stop at the lack of goodness or the

low grade existing in his “tools,” but rather do the best work possible

with the means at hand.

However, in order that acceptable work may be accomplished, fairly good

instruments should be procured. The advice of some one experienced in

the use and care of draughting tools should be sought before purchasing.

A drawing board, a single sheet of paper and a pencil is the simplest

“outfit” to be thought of; to this small beginning may be added, soon

afterwards, an inexpensive pair of compasses, a T-square and a couple of

triangles; a vast range of work can be executed with these few tools.

Nothing else will be needed to do fine work except, perhaps, one or two

pairs of better compasses and a few sweeps or means of drawing irregular

curves; all these had best be purchased separately; for in buying a “box

of instruments,” it may contain some articles which are not desired, or

that are of a wrong size, or even duplicates of those already possessed.

[Illustration: Fig. 138.]

An outfit recommended by the author of “Reed’s Hand Book” is as follows.

Large compasses with movable leg.

A pair of dividers.

Bow pencil.

Bow pen.

Pencil leg for large compasses.

Pen leg for large compasses.

Drawing pen.

Louis Rouillon, B. S., Instructor of Drawing in Pratt Institute, New

York, recommends the following:

Compasses, 5¹⁄₂ inches, with needle point; pen pencil and lengthening

bar.

Drawing pen, 4¹⁄₂ inches.

T-square, 24-inch blade.

45-degree triangle, 9 inches.

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