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[[Image:Urania.propitia.png|thumb|right|The title page of the ''Urania propitia'' by Maria Cunitz (1650)]]
'''''Urania Propitia''''' is a book of astronomical tables written by [[Maria Cunitz]] and published in 1650. As Maria Cunitz was the daughter of both a physician and mathematician, it was her ability to grasp complex mathematics quickly and transcribe her findings as a polyglot that allowed her to do what not many women had done before her.
 
== Introduction ==
 
'''''Urania Propitia''''' was a simplification of the [[Rudolphine Tables]] written by [[Johannes Kepler]] in 1627. Kepler's dedication to Emperor [[Ferdinand II, Holy Roman Emperor|Ferdinand II]] which was originally dedicated to [[Rudolf II]] was filled with complex and tedious logarithms. It was because of Kepler's ingenious yet tiresome use of logarithms that led Cunitz to simplify the Rudolphine Tables and make Kepler's work more accessible to the public.
The tables are mostly astrological, but the instructions are completely astronomical. Written in both German for "the fatherland" and Latin to make it more accessible, the instructions are more practical in German and technical in Latin. Beyond the instructions, Maria Cunitz's book is split into three parts.
 
=== Part 1: Tables for spherical astronomy ===
 
The first part is the mathematical starting point. These include "sexagesimal sines, solutions of small right triangles in minutes and seconds, and tables for spherical astronomy for degrees of the ecliptic of: declination, right ascension, oblique ascension for latitudes 0 degrees to 72 degrees at 2 degree intervals..."
 
=== Part 2: Tables of average motions ===
 
It is the second part that the heart of Maria Cunitz's simplification is brought forward. Using the geometry and spherical astronomy from part one, Cunitz brings the rotational motions of the planets and moons into light using various mathematical formulas. One of the formulas from the Rudolphine Tables,
:<math> M = E - \epsilon \cdot \sin E </math>
which is also known as "Kepler's equation" normally has no "geometrical or algebraic solution for E." However, when M is given it becomes more possible to but find "E from M to any degree of precision by iteration or interpolation." The major accomplishment Cunitz brought was the ability to compute v (velocity) from M without the necessity to use "E as a coefficient of interpolation". Thus, Cunitz was able to simplify the Rudolphine Tables and determine the position of a planet in its orbit as a function of time.
 
=== Part 3: Tables for computation of eclipses ===
 
These tables were used for both the location of eclipses and the time of eclipses. This includes the use of the "golden astronomical number", the parallax of the moon and sun in a variety in longitude, latitude, altitude, ect..., and a catalog of other fixed stars in the universe.
 
== Cosmology ==
 
Cunitz's cosmology has variations of both [[Tycho Brahe]] and [[Johannes Kepler]]. While the basic structure of her cosmology is like Tycho's with the sun and moon orbiting around the Earth while the rest of the planets orbit around the sun, the physics within the cosmos involves ellipticals and "aphelions."<ref>{{cite book|last=Buchwald|first=Jed|title=A Master of Science History|year=2012|publisher=California Institute of Technology Press|location=Pasadena, CA|pages=82–92}}</ref>
 
== Historical significance ==
 
Beyond the rewards that came from a simplification of the [[Rudolphine Tables]], a scientific advance written by a woman in the seventeenth century was an accomplishment in itself. It was common for male scientists before [[Maria Cunitz]] to attribute their discoveries to muses. For Urania Propitia, [[Urania]] in [[Greek mythology]] was the muse of Astronomy and "Propitia" translates to favoring in Latin. This suggests that Maria Cunitz both saw Urania as her muse while also making strides for women as scientists because she could be so easily compared to the ancient Greek astronomer.<ref>{{cite journal|last=Schiebinger|first=Londa|title=Feminine Icons: The Face of Early Modern Science|journal=Chicago Journals|year=1988|volume=Vol. 14|series= No. 4|page=676|jstor=1343667}}</ref>
== References ==
 
{{Reflist}}
[[Category:History]]
[[Category:Mathematics books]]

Latest revision as of 01:01, 1 May 2014

Hi, everybody!
I'm Dutch male :D.
I really like The Vampire Diaries!

my site :: Hostgator Coupon Codes (http://ccucontest.commons.co.kr)