According to Ptolemy's Almagest, Hipparchus measured the longitude of Spica and other bright stars.

According to Ptolemy's map, they lived in Jutland, which is in agreement with Pomponius Mela, who placed them in Scandinavia ( Codanonia ).

According to the structure's plans, the ground floor was to centre around Ptolemy's universe, the middle floor Copernicus ' theory, and the top floor, Hörbiger's theory.

According to Ptolemy's Geography, their inland towns were Illiberis, Ruscino, Tolosa colonia, Cessero, Carcaso, Baetirae, and Narbon colonia.

According to the book, after Ptolemy's defeat of Antiochus III in 217 BC at the battle of Raphia, he visited Jerusalem and the Second Temple.

According to the historical scheme proposed by T. F. O ' Rahilly the Builg are identical with or a sub-group of the Érainn or Iverni, who arrived in Ireland ca 500 BC and are attested in Ptolemy's 2nd century AD Geography.

According to Ptolemy's Treatise on geography, written in the 2nd Century A. D., the ancient land of Gangaridi was stretched between the rivers Bhagirathi-Hoogly ( lower Ganges ) and Padma-Meghna.

According to Forbes magazine Armenia had the second worst economy in the world in 2011.

According to the Fraser Institute, Alberta has very high levels of economic freedom and rates Alberta as the most free economy in Canada, and second most free economy amongst U. S. states and Canadian provinces.

According to John T. Townsend, " it is not before the last decades of the second century that one finds undisputed traces of the work.

According to Gow, Housman could never remember his students ' names, maintaining that " had he burdened his memory by the distinction between Miss Jones and Miss Robinson, he might have forgotten that between the second and fourth declension.

According to Ridenti, who cites the Fernando Henrique Cardoso administration as an example of the first group and the Luiz Inácio Lula da Silva administration as an example of the second, " we have it cyclically ".

According to the stories, the derelict disappeared ; others elaborating further that the derelict reappeared minus the prize crew, then disappeared again with a second prize crew on board.

According to a second principle of classification, a concordant coastline is a coastline where bands of different rock types run parallel to the shore.

* Entropic forces: According to the second law of thermodynamics, a system progresses to a state in which entropy is maximized.

According to the World Health Organization, physical inactivity is second only to tobacco smoking as a health risk in developed countries, and this is associated with many tens of billions of dollars of healthcare costs.

According to the memoirs of Chen Jieru, Chiang's second wife, she contracted gonorrhea from Chiang soon after their marriage.

According to Payscale, Dartmouth College alums have among the highest average starting salaries ($ 58, 200 ) in the United States, as well as the second highest average income ten years after graduation ($ 123, 000 ), placing after Harvey Mudd College and tying with Princeton University.

According to the third Canon of the second ecumenical council: " Because it is new Rome, the bishop of Constantinople is to enjoy the privileges of honor after the bishop of Rome.

According to the pseudo-historical Kojiki and Nihonshoki ( collectively known as ), Sujin was the second son of Emperor Kaika Sujin's mother was Ikagashikome no Mikoto, a stepmother of his father.

According to Kojiki and Nihonshoki, Ankō was the second son of Emperor Ingyō.

According to the centimeter gram second system of units ( cgs ), the gauss is the unit of magnetic field B and the equivalent of esu / cm ^ 2, while the oersted is the unit of magnetizing field H. One tesla is equal to 10 < sup > 4 </ sup > gauss, and one ampere per meter is equal to 4π × 10 < sup >− 3 </ sup > oersted.

The Gospel According to Mark (,, to euangelion kata Markon ), commonly shortened to the Gospel of Mark or simply Mark, is the second book of the New Testament.

According to the biblical history Ezra and Nehemiah arrived in Jerusalem in the middle of the 5th century BCE, the first empowered by the Persian king to enforce the Torah, the second with the status of governor and a royal mission to restore the walls of the city.

" According to Bronwen Walter, professor of Irish Diaspora Studies at Anglia Ruskin University, " the adoption of a hyphenated identity has been much more problematic for the second generation Irish in Britain.

According to the EU's statistics body Eurostat, Italian public debt stood at 116 % of GDP in 2010, ranking as the second biggest debt ratio after Greece ( with 126. 8 %).

According to the Bologna statistics of the European Union, Italian is spoken as a mother tongue by 65 million people in the EU ( 13 % of the EU population ), mainly in Italy, and as a second language by 14 million ( 3 %).

The economy of Japan is the third largest national economy in the world after the United States and the People's Republic of China and is the world's second largest developed economy According to the International Monetary Fund, the country's per capita GDP ( PPP ) was at $ 34, 739 or the 25th highest in 2011.

According to the 2001 edition of the National Jewish Population Survey, in the United States ' Jewish community — the world's second largest — 4. 3 million Jews out of 5. 1 million had some sort of connection to the religion.

According to Suetonius, a physician later established that only one wound, the second one to his chest, had been lethal.

According to Jacques Barzun: Voltaire, who had felt annoyed by the first essay the Arts and Sciences, was outraged by the second, on the Origin of Inequality Among Men, declaring that Rousseau wanted us to “ walk on all fours ” like animals and behave like savages, believing them creatures of perfection.

According to the scriptures, Bahubali, also known as Gommateshvara, was the second of the one hundred sons of Rishabha and king of Podanpur.

According to Cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms real multiplication to addition.

According to (), the first historical mention of the statement of this theorem appears in ().

According to Birkhoff's theorem, it is the only vacuum solution that is spherically symmetric.

According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.

According to the theorem, it is possible to expand any power of x + y into a sum of the form

According to Noether's theorem, the conservation of energy is a consequence of the fact that the laws of physics do not change over time.

According to the theorem, within every sufficiently powerful logical system ( such as Principia ), there exists a statement G that essentially reads, " The statement G cannot be proved.

* According to a theorem of Nikolay Nikolov and Dan Segal, in any topologically finitely-generated profinite group ( that is, a profinite group that has a dense finitely-generated subgroup ) the subgroups of finite index are open.

According to the spin-statistics theorem, particles with integer spin occupy symmetric quantum states, and particles with half-integer spin occupy antisymmetric states ; furthermore, only integer or half-integer values of spin are allowed by the principles of quantum mechanics.

According to Rice's theorem, if there is at least one computable function in a particular class C of computable functions and another computable function not in C then the problem of deciding whether a particular program computes a function in C is undecidable.

According to the Rouché – Capelli theorem, the system is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix.

According to the optical Raychaudhuri's theorem, this requires a violation of the averaged null energy condition.

According to the theorem, the reconstructed signal will match the original signal provided that the original signal contains no frequencies at or above this limit.

According to the Nyquist theorem, error-free detection of the line code requires a channel bandwidth of at least the Nyquist rate, which is half the line code pulse rate.

According to Shannon's source coding theorem, the optimal code length for a symbol is − log < sub > b </ sub > P, where b is the number of symbols used to make output codes and P is the probability of the input symbol.

According to the CPT theorem of particle physics, antihydrogen atoms should have many of the characteristics regular hydrogen atoms have ; i. e., they should have the same mass, magnetic moment, and transition frequencies ( see atomic spectroscopy ) between their atomic quantum states.

According to Liouville's theorem, any bounded complex analytic function defined on the whole complex plane is constant.

According to Allen Weiss, in Mirrors of Infinity, this optical effect is a result of the use of the tenth theorem of Euclid ’ s Optics which asserts that “ the most distant parts of planes situated below the eye appear to be the most elevated .” In Fouquet ’ s time, interested parties could cross the canal in a boat, but walking around the canal provides a view of the woods that mark what is no longer the garden and shows the distortion of the grottos previously seen as sculptural.

According to the virial theorem, the gravitational binding energy of a star is about two times its internal thermal energy.

According to the correspondence principle and Ehrenfest's theorem as a system becomes larger or more massive ( action >> Planck's constant ) the classical dynamics tends to emerge, with some exceptions, such as superfluidity.

According to the Kutta – Joukowski theorem, lift is the product of circulation, airspeed, and air density.

According to the Shannon – Hartley theorem, the channel capacity of a properly-encoded signal is proportional to the bandwidth of the channel and the logarithm of the signal-to-noise ratio ( SNR ) ( assuming the noise is additive white Gaussian noise ).

According to the inverse function theorem, the matrix inverse of the Jacobian matrix of an invertible function is the Jacobian matrix of the inverse function.

According to one leading historian of statistics, he may have been the earliest discoverer of Bayes theorem.