...an arc is its defect from a quadrant ; and its supplement is its defect from a semicircumference. 2. The sine of an arc is a perpendicular let fall from one of its extremities upon a diameter passing through the other. 3. The versed sine of an arc is that...

...difference from a semicircle ; and the supplement of an angle is its differ" ence from two right angles. 13. The sine of an arc is a perpendicular let fall from one extremity upon a diameter passing through the other. 14. The versed sine of an arc is that part of the diameter...

...quadrant, or between an angle and a right angle, is called the complement of the arc or the angle. Cor. 6. The sine of an arc is a perpendicular let fall from one of its extremities upon the diameter which passes through the other extremity. Cor. 7. The versed sine...

...arcs. Def. 2. The perpendicular BX is called the sine of the arc AB. Hence the sine of an drc is the perpendicular let fall from one extremity of the arc upon the diameter passing through the other extremity of the same arc. Def. 3. AT is the tangent of AB. Def. 4. OT is...

...versa. The trigonometrical lines are sometimes called trigonometrical functions* of an arc or angle. Of these trigonometrical lines, we now proceed to...sine of the arc BM, because it is a perpendicular let fair from one extremity M of the arc upon the diameter drawn through the other extremity B. 15. Two...

...versfi. The trigonometrical lines are sometimes called trigonometrical functions* of an arc or angle. Of these trigonometrical lines, we now proceed to...the arc AM. The same line MP is likewise the sine of tho arc DM, because it is a perpendicular let fall from one extremity M of the arc upon the diameter...

...difference from a semicircle, and the supplement of an angle is its difference from two right angles. The sine of an arc is a perpendicular let fall from one extremity upon a diameter passing through-the other extremity. The versed sine of an arc is that part of the...

...several trigonometric lines may be traced as follows. 1st. The sine being, by Art. 21, the perpendicular from one extremity of the arc upon the diameter drawn through the other extremity, we shall have sin AB = BС, sin AB' = B' С', sin A A" B" = B" С', sшAA"B" we have B"' о, and if...

...whose radius is unity, the sine of an arc, or of the angle at the center measured by; that arc, is the perpendicular let fall from one extremity of the arc upon the diameter passing through the other extremity. The trigonometric tangent is that part of the tangent drawn at...

...circle whose radius is unity ; — The SINE of an arc, or of the angle measured by that arc, is (he perpendicular let fall from one extremity of the arc, upon the diameter passing through the other extremity. The COSINE M the distance, from Hie centre to the foot of the...