Astrologers

"The world is the book where the eternal Wisdom wrote its own concepts"

"I learn more from the anatomy of an ant or a blade of grass...than from all the books which have been written since the beginning of time. This is so, since I have begun...to read the book of God...the model according to which I correct the human books which have been copied badly and arbitrarily and without attention to the things that are written in the original book of the Universe."

"Facile est ventis dare vela secundis, Fecundumque solum varias agitare per artes, Auroque atque ebori decus addere, cum rudis ipsa Materies niteat."

"Rationi nulla resistunt. Claustra nec immensæ moles, ceduntque recessus: Omnia succumbunt, ipsum est penetrabile cœlum."

"Volat hora per orbem."

"Nascentes morimur, finisque ab origine pendet."

"Æquo stat fœdere tempus."

"Victuros agimus semper, nec vivimus unquam."

"Quis cœlum possit nisi cœli munere nosse? Et reperire deum nisi qui pars ipse deorum est?"

"Materiae ne quaere modum; sed perspice vires Quas ratio, non pondus habet; ratio omnia vincit."

"Exemplumque dei quisque est in imagine parva."

"Per varios usus artem experientia fecit, Exemplo monstrante viam."

"Semper enim ex aliis alias proseminat usus."

"Certis legibus omnia parent."

"Omnia mortali mutantur lege creata, Nec se cognoscunt terræ vertentibus annis, Et mutant variam faciem per sæcula gentes, At manet incolumis mundus suaque omnia servat."

"Quis credat tantas operum sine numine moles Ex minimis, caecoque creatum foedere mundum?"

"Labor est etiam ipse voluptas."

"Quot post excidium Troiae sunt eruta regna? Quot capti populi? quoties Fortuna per orbem Servitium imperiumque tulit, varieque revertit?"

"Impendendus homo est, deus esse ut possit in ipso."

"[T]here is a possibility that some of the works ascribed to Sened ibn 'Alī are really works of Al-KhowarazmI, whose name immediately precedes his."

"Multicultural education is certainly important, but it should not be about bundling children into preordained faith schools. Awareness of world civilisation and history is necessary. Religious madrasas may take little interest in the fact that when a modern mathematician invokes an "algorithm" to solve a difficult computational problem, she helps to commemorate the secular contributions of Al-Khwarizmi, the great ninth-century Muslim mathematician, from whose name the term algorithm is derived ("algebra" comes from his book, Al Jabr wa-al-Muqabilah). There is no reason at all why old Brits as well as new Brits should not celebrate those grand connections. The world is not a federation of religious ethnicities. Nor, one hopes, is Britain."

"Of course the Arabs themselves never laid claim to the invention, always recognizing their indebtedness to the Hindus both for the numeral forms and for the distinguishing feature of place value. Foremost among these writers was the great master of the golden age of Bagdad, one of the first of the Arab writers to collect the mathematical classics of both the East and the West, preserving them and finally passing them on to awakening Europe. This man was Mohammed the Son of Moses, from Khowarezm, or, more after the manner of the Arab, Mohammed ibn Mūsā al-Khowārazmī, a man of great learning and one to whom the world is much indebted for its present knowledge of algebra and of arithmetic. Of him there will often be occasion to speak; and in the arithmetic which he wrote, and of which Adelhard of Bath (c. 1130) may have made the translation or paraphrase, he stated distinctly that the numerals were due to the Hindus. This is as plainly asserted by later Arab writers, even to the present day. Indeed the phrase ilm hindī, "Indian science," is used by them for arithmetic, as [is] also the adjective hindī alone."

"As regards algebra, the early Arabs failed to adopt either the Diophantine or the Hindu notations. An examination of [the algebra of Al-Khwarizmi] shows that the exposition was altogether rhetorical, i.e., devoid of all symbolism."

"al-Khwārizmī “not having taken algebra from the Greeks,. . . must have either invented it himself, or taken it from the Indians. Of the two, the second appears to me the most probable”"

"I have decided first to consider the majority of the authors who up to now have written about [algebra], so that I can fill in what they have missed out. They are very many, and among them Mohammed ibn Musa [Al-Khwarizmi], an Arab, is believed to be the first [...] I believe that the word “algebra” came from him, because some years ago, Brother Luca [Pacioli] of Borgo San Sepolcro of the Minorite order, having set himself the task of writing on this science, as much in Latin as in Italian, said that the word “algebra” was Arabic [...] and that the science came from the Arabs. Many who have written after him have believed and said likewise, but in recent years, a Greek work on this discipline has been discovered in the Library of our Lord in the Vatican, composed by a certain Diophantus of Alexandria, a Greek author [...] Antonio Maria Pazzi and I have translated five books (of the seven) [...] In this work we have found that he cites the Indian authors many times, and thus I have been made aware that this discipline belonged to the Indians before the Arabs."

"That fondness for science, … that affability and condescension which God shows to the learned, that promptitude with which he protects and supports them in the elucidation of obscurities and in the removal of difficulties, has encouraged me to compose a short work on calculating by al-jabr and al-muqabala , confining it to what is easiest and most useful in arithmetic."

"‘To describe all regions of the earth and to establish all local times would be tedious and unfeasible since, for innumerable times and for boundless regions, the meridians have been recorded with respect to Arin, in such a way that it would not be difficult to determine from this radix by geometrical and arithmetical rules the other places and times... if we are removed in longitude from this (place, namely Arin), then the distance between our place and the locality of Arin must be taken into account’ for calculating the mean positions of planets."

"That he [Al-Khwarizmi] should have borrowed from Diophantus is not at all probable; … It is far more probable that the Arabs received their first knowledge of algebra from the Hindus, who furnished them with the decimal notation of numerals, and with various important points of mathematical and astronomical information."

"The Scorpio period of the year (at least in the Northern Hemisphere) is the time when the life force withdraws from all outer forms in nature and is concentrated in the seed. It is striking that the cultural symbol for this time of the year in the United States is the Halloween pumpkin with its insides removed, leaving only an empty shell with a blankly staring face. In fact, the jack-o-lantern is a symbol of death, a symbolic skull with the glimmering remains of the departed life force represented by the candle within it. Traditionally, the Halloween feast (the Eve of All Saints Day) was a time when the dead came back to life and when human beings in the physical body could most immediately contact departed spirits of all kinds, as well as their own patron saints. It is significant that children are allowed at this time to wander out at night, past their usual bed time, and that they are not supposed to go from house to house begging for food until the Sun (the symbol of physical life) has completely set!"

"Ostanes, the Mede, was one of the celebrated early alchemists. Several writers have recorded for us the existence of a book called The Book of the Divine Prescriptions, which seems to have been the most famous writing of these Persian sages."

"Pliny tells us that Demokritos was instructed in magic by Ostanes the Mede."

"The nature is pleased to nature The nature overcomes the nature The Nature dominated nature."

"The manuscripts in which these early Greek treatises have been preserved to us seem to be derived from an encyclopaedia compiled during the tenth century, at Constantinople, from the works of various alchemists. ...The Greek text. now published by M. Berthelot and M. [Ch. Em.] Ruelle, custodian of the Library of Ste.-Geneviève, is derived from a careful collation of all these sources, and is accompanied with notes by M. Berthelot bringing light and order into the mystical obscurity in which from the beginning the alchemists enveloped their doctrines. First among these is the 'Physica et Mystica,' ascribed to Democritus of Abdera, a collection of fragments, among which a few receipts for dyeing in purple may be genuine, while the story of magic and the alchemical teaching are evidently spurious. The philosopher is made to state that his studies were interrupted by the death of his master, Ostanes the Magian. He therefore evoked his spirit from Hades, and learned from him that the books which contained the secrets of his art were in a certain temple. He sought them there in vain, till one day, during a feast in the sanctuary, a column opened, and revealed the precious tomes, in which the doctrines of the Master were summed up in the mysterious words: 'Nature rejoices in Nature, Nature conquers Nature, Nature rules Nature.' The unknown Alexandrian who wrote under the name of Democritus gives not only receipts for making white alloys of copper, but others which, he positively asserts, will produce gold. M. Berthelot, however, shows in his notes that they can only result in making amalgams for gilding or alloys resembling gold or varnishes which will give a superficial tinge to metals"

"And because this Experimental Science is wholly ignored by the general run of students, for that reason I can not convince people of its utility unless I show at the same time its excellence and its property. This science alone, then, knows how to test perfectly by experience what can be done by nature, what by the industry of art, what by imposture; what the incantations, conjurations, invocations, deprecations, sacrifices (which are magical devices) seek and dream of; and what is done in them, so that all falsity may be removed and that only the truth of art and nature be retained. This science alone teaches one to consider all the insanities of magicians, not that they may be confirmed but that they may be avoided, just as logic considers sophistical argument."

"Mathematics is the gate and key of the sciences. ... Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy."

"There are in fact four very significant stumbling blocks in the way of grasping the truth, which hinder every man however learned, and scarcely allow anyone to win a clear title to wisdom, namely, the example of weak and unworthy authority, longstanding custom, the feeling of the ignorant crowd, and the hiding of our own ignorance while making a display of our apparent knowledge."

"Many secrets of art and nature are thought by the unlearned to be magical."

"For the things of this world cannot be made known without a knowledge of mathematics. For this is an assured fact in regard to celestial things, since two important sciences of mathematics treat of them, namely theoretical astrology and practical astrology. The first … gives us definite information as to the number of the heavens and of the stars, whose size can be comprehended by means of instruments, and the shapes of all and their magnitudes and distances from the earth, and the thicknesses and number, and greatness and smallness, … It likewise treats of the size and shape of the habitable earth … All this information is secured by means of instruments suitable for these purposes, and by tables and by canons .. For everything works through innate forces shown by lines, angles and figures."

"Argument is conclusive... but... it does not remove doubt, so that the mind may never rest in the sure knowledge of the truth, unless it finds it by the method of experiment. For if any man who never saw fire proved by satisfactory arguments that fire burns, his hearer's mind would never be satisfied, nor would he avoid the fire until he put his hand in it that he might learn by experiment what argument taught."

"For sounds like thunder, and coruscations like lightning, may be made in the air, and they may be rendered even more horrible than those of nature herself. A small quantity of matter, properly manufactured, not larger than the human thumb, may be made to produce a horrible noise and coruscation. And this may be done many ways, by which a city or an army may be destroyed, as was the case when and his men broke their pitchers and exhibited their lamps, fire issuing out of them with inestimable noise, destroyed an infinite number of the army of the Midianites."

"Mix together saltpetre, luru vopo vir con utriet [powdered charcoal], and sulphur, and you will make thunder and lightning, if you know the method of mixing them."

"Reasoning draws a conclusion and makes us grant the conclusion, but does not make the conclusion certain, nor does it remove doubt so that the mind may rest on the intuition of truth, unless the mind discovers it by the path of experience."

"Prudens quaestio dimidium scientiae."

"Oh how delightful is the taste of wisdom to those who are thus steeped in it from its very fount and origin. They who have not tried this cannot feel the delight of wisdom, just as a sick man cannot estimate the flavour of food. But because they are affected with this sort of mental sickness, and their intellect in this matter is as it were deaf from their very birth, so as not to appreciate the delight of harmony, on this account they grieve not at this so great loss of wisdom, though indeed without doubt it is an infinite loss."

"If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics..."

"I shall draw... a figure (which all these matters are made clear as far as possible on a surface, but the full demonstration would require a body like the eye... The eye of a cow, pig, and other animals can be used for illustration, if anyone wishes to experiment."

"Roger Bacon had shown how easy it is, and how vain, to survey the operations of Nature and idly refer her wondrous works to chance or accident, or to the immediate interposition of God."

"Friar Bacon walk'd in Oxford between two steeples, but he that would have discovered his Thoughts, by his steps, had been more his Fool than his Fellow."

"In his Opus Majus he demonstrates, that if a transparent body, interposed between the eye and an object, be convex towards the eye, the object will appear magnified. This observation our author certainly had from Alhazen... this writer [Bacon] gives us figures, representing the progress of rays of light through his spherical segment, as well as endeavours to give reasons why objects are magnified... From the writings of Alhazen and these observations and experiments of Bacon together, it is not improbable that some monks gradually hit upon the construction of spectacles, to which Bacon's lesser segment, not withstanding his mistake concerning it, was a nearer approach than Alhazen's... Whoever they were that pursued the discoveries of Bacon, they probably observed, that a very small convex glass, when held at a greater distance from a book, would magnify the letters more than when it was placed close to them, in which position only Bacon seemed to have used it. In the next place, they might try whether two of these small segments of a sphere placed together, or a glass convex on both sides, would not magnify more than one of them. They would then find, that two of these glasses, one for each eye, would answer the purpose of reading better than one; and lastly they might find, that different degrees of convexity, suited different persons. It is certain that spectacles were well known in the 13th century, and not long before. ...It would certainly have been a great satisfaction to us to have been able to trace the actual steps in the progress of this most useful invention, without which most persons who have a taste for reading must have had the melancholy prospect of passing a very dull and joyless old age; and must have been deprived of the pleasure of entertaining themselves by conversing with the absent and the dead, when they were no longer capable of acting their part among the living. Telescopes and microscopes are to be numbered among the superfluities of life when compared to spectacles, which may now be ranked almost among the necessities of it; since the arts of reading and writing are almost universal."

"Great as Bacon was, he was far from being free from the mistakes and prejudices of those who went before him. Even some of the most wild and absurd opinions of the antients have the sanction of his approbation and authority. He does not hesitate to assent to an opinion... that visual rays proceed from the eye; giving this reason for it, that every thing in nature is qualified to discharge its proper functions by its own powers, in the same manner as the sun, and other celestial bodies. He acknowledges, however, that the presence of light, as well as several other circumstances, is necessary to vision."