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The Satan does not inhabit or supervise the underworld – his sphere of activity is the human world – and is only to be thrown into the fire at the end of time. [87] He appears throughout the Old Testament not as God's enemy but as his minister, "a sort of Attorney-General with investigative and disciplinary powers", as in the Book of Job. [87]
The other two additional units are more ambiguous. The garmida is mentioned repeatedly but without its size being indicated; it is even sometimes treated as an area, [17] and as a volume. [18] The cord is given two different definitions; in the Mishnah it is 50 ells, [19] but in the Gemara it is only 4 ells. [20]
He established a theorem that is without Euclidean analogue, that two spherical triangles are congruent if corresponding angles are equal, but he did not distinguish between congruent and symmetric spherical triangles. [15] Another theorem that he establishes is that the sum of the angles of a spherical triangle is greater than 180°. [15]
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
The apparent size of the Sun and the Moon in the sky. The size of the Earth's shadow in relation to the Moon during a lunar eclipse; The angle between the Sun and Moon during a half moon is 90°. The rest of the article details a reconstruction of Aristarchus' method and results. [4] The reconstruction uses the following variables:
New York's Cardinal Timothy Dolan turns 75 Thursday, and is required to submit his resignation to the Vatican. The formality starts the clock on a time of transition for the Archdiocese of New York.
Islamic centuries to corresponding Gregorian years [5]. 1st century AH (622 – 719 CE); 2nd century AH (719 – 816) 3rd century AH (816 – 913) 4th century AH (913 – 1009)
In America, a small drink is 16 oz., a medium is 21 oz., and a large is 30 oz. Singapore and Canada just about measure up, while cups in Hong Kong, Australia, India -- and basically every other ...