| John Leslie - 1809 - 524 pages
...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... | |
| Olinthus Gregory - Plane trigonometry - 1816 - 244 pages
...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... | |
| Edward Riddle - 1824
...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... | |
| George Clinton Whitlock - Mathematics - 1848 - 324 pages
...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... | |
| Charles William Hackley - Trigonometry - 1851 - 372 pages
...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... | |
| Charles William Hackley - Trigonometry - 1851 - 372 pages
...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... | |
| Frederick Overman - Machine design - 1851 - 444 pages
...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... | |
| William Chauvenet - 1852
...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... | |
| WILLIAM CHAUVENET - 1855
...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... | |
| 1863
...difference from a semicircle, and the supplement of an angle is its difference from two right angles. 6. **The sine of an arc is a perpendicular let fall from one** extremitv upon a diameter passing through the other. • 7. The versed sine of an arc is that part... | |
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