 | Charles Butler - 1814 - 582 pages
...radius and co-sine. Thirdly. Since AD=CA—CD, and AP=AC+CP; therefore the versed sine of any arc less than a quadrant, is equal to the difference of the radius and co-sine; but of any arc greater than a quadrant, it is equal to the mm of the radius and co-situ^ Fourthly.... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...6o° = sin. 3O°. (39.) COR. 3. = -. (Eucl. i. 47.) 2 (40.) COR. 4. The versed sine of an arc less than a quadrant is equal to the difference of the radius .and cosine ; and of an arc greater than a quadrant is equal to their sum. (41.) DEF. 11. The Cotangent... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...(39.) COR. 3. Cos. 45° = sin. 45° = -^=-. (Eucl. i. 47.) (40.) COR. 4. The versed sine of an arc less than a quadrant is equal to the difference of the radius and cosine ; and of an arc greater than a quadrant is equal to their sum. (41.) DBF. 11. The Cotangent... | |
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DEF. 11. The Cotangent of an arc is a line touching the circle at the end of the first quadrant and meeting the radius produced through the end of the arc. Thus, if IBI... 