The Atlas, by the cartographer Abraham Ortelius, was realized in 1570, and is considered by the experts the first Atlas in history.
In fact, for the first time it is possible to find all the available cartographic information. It is composed in an orderly and uniform format, proportionate to the maps of each region of the known world, and completed by historical, gastronomic, artistic facts.
We have 1 facsimile edition of the manuscript 'Ortelius Atlas': Atlas de Abraham Ortelius 'Theatrum orbis Terrarum' facsimile edition, published by CM Editores, 2014
Ortelius 2 Perpetual License includes all minor updates and feature releases within the current version, Ortelius 2. Does not include major upgrades to next major point release, e.g., version 3.0. License may be used with up to 2 computers within a single household. Back to Contents Definitions of Trigonometric Functions Draw a unit circle with center O. Let a central angle with initial side OP and terminal side OQ contain x radians (that is, the arc PQ has length x). The vessel is re-flagged and renamed “Ortelius”. As Plancius, Ortelius was a Dutch / Flemish cartographer. Abraham Ortelius (1527 – 1598) published the first modern world atlas, the Theatrum Orbis Terrarum or Theatre of the World in 1570. At that time, the atlas was the most expensive book ever printed. Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x 9. Which could be the other equation? 2y = x 4.5 y = x 3 6y = 6x 27 y = x 4.5.
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)
Ortelius 2 2 3 X 4
cos(-x) = cos(x)sec(-x) = sec(x)
tan(-x) = -tan(x)
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 |
Colorsnapper2 1 6 18. 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) Markdown 1 2 – advanced markdown editor word.
cos2(x) = 1/2 + 1/2 cos(2x)
sin x - sin y = 2 sin( (x - y)/2 ) cos( (x + y)/2 )
Ortelius 2 2 3 X 42
cos x - cos y = -2 sin( (x-y)/2 ) sin( (x + y)/2 )
![Ortelius 2 2 3 X 4 Ortelius 2 2 3 X 4](https://cdn2.bigcommerce.com/n-zfvgw8/wkatj7/products/91440/images/108929/ChenangoCo_1829_web__12816.1543858007.1280.1280.jpg?c=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 4.2
Given Triangle abc, with angles A,B,C; a is opposite to A, b oppositite B, c opposite C:Ortelius 2 2 3 X 4.5
a/sin(A) = b/sin(B) = c/sin(C) (Law of Sines)
| (Law of Cosines) |
(a - b)/(a + b) = tan 1/2(A-B) / tan 1/2(A+B) (Law of Tangents)