The latest version of Ortelius is maintained by the Ortelius Community managed by DeployHub and OpenMake Software. Join the Ortelius GitHub Project. What Ortelius Does. The current position of ORTELIUS is at North Sea (coordinates 51.45765 N / 4.00752 E) reported 0 min ago by AIS. The vessel ORTELIUS (IMO: 8509181, MMSI 244180151) is a Passenger Ship built in 1989 (31 years old) and currently sailing under the flag of Netherlands. Maps by Abraham Ortelius. Following the death of their father, Abraham Ortelius (1527-1598) and his sisters became map illuminators or colourists; and Ortelius also dabbled in buying and selling general antiques. From 1558 onwards, he is recorded as purchasing multiple copies of maps in order to colour them, but also began.
sin(theta) = a / c | csc(theta) = 1 / sin(theta) = c / a |
cos(theta) = b / c | sec(theta) = 1 / cos(theta) = c / b |
tan(theta) = sin(theta) / cos(theta) = a / b | cot(theta) = 1/ tan(theta) = b / a |
csc(-x) = -csc(x)
cos(-x) = cos(x)
sec(-x) = sec(x)
![Ortelius Ortelius](https://cdn2.bigcommerce.com/n-zfvgw8/wkatj7/products/118973/images/135956/SmithCo_1880_web__90213.1551807602.500.659.jpg?c=2)
cot(-x) = -cot(x)
sin2(x) + cos2(x) = 1 | tan2(x) + 1 = sec2(x) | cot2(x) + 1 = csc2(x) |
sin(x y) = sin x cos y cos x sin y | ||
cos(x y) = cos x cosy sin x sin y |
tan(x y) = (tan x tan y) / (1 tan x tan y)
sin(2x) = 2 sin x cos x
cos(2x) = cos2(x) - sin2(x) = 2 cos2(x) - 1 = 1 - 2 sin2(x)
tan(2x) = 2 tan(x) / (1 - tan2(x))
sin2(x) = 1/2 - 1/2 cos(2x)
cos2(x) = 1/2 + 1/2 cos(2x)
The best free mac cleaner. sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 )
cos x - cos y = -2 sin( (x-y)/2 ) sin( (x + y)/2 )
angle | 0 | 30 | 45 | 60 | 90 |
---|---|---|---|---|---|
sin2(a) | 0/4 | 1/4 | 2/4 | 3/4 | 4/4 |
cos2(a) | 4/4 | 3/4 | 2/4 | 1/4 | 0/4 |
tan2(a) | 0/4 | 1/3 | 2/2 | 3/1 | 4/0 |
Ortelius 2 2 3 X 4
a/sin(A) = b/sin(B) = c/sin(C) (Law of Sines)
| (Law of Cosines) |
Ortelius 2 2 3 X 4.5
(a - b)/(a + b) = tan 1/2(A-B) / tan 1/2(A+B) (Law of Tangents)