Trigonometry Quotes
And last of all we have the secondary forms of crystals bursting in upon us, and sparkling in the rigidity of mathematical necessity and telling us, neither of harmony of design, usefulness or moral significance, - nothing but spherical trigonometry and Napier's analogies. It is because we have blindly excluded the lessons of these angular bodies from the domain of human knowledge that we are still in doubt about the great doctrine that the only laws of matter are those which our minds must fabricate, and the only laws of mind are fabricated for it by matter.
James Clerk Maxwell
The development of Indian trigonometry, based on sine as against chord of the Greeks, a necessity for astronomical calculations with his own concise notation which expresses the full sine table in just one couplet for easy remembrance. One of the two methods suggested by him for the sine table is based on the property that the second order sine differences were proportional to sines themselves.
Aryabhata
I had one experience which gave me some slant on the way large organizations run. I was not allowed to take spherical trigonometry because I'd sprained my ankle. Because I'd sprained my ankle I had an incomplete in gym, phys ed. And the rule was that if you had an incomplete in anything, you were not allowed to take an overload. I argued with some clerical person in the administration office, and was stopped there. It's an experience which I've remembered since, and advised people not to be stopped at the first point.
William Shockley
In the application of the ordinary principles of geometry and trigonometry to such Astronomical measures... it may sometimes be expedient to resolve the process into several successive steps, and these steps may perhaps require different kinds of treatment. But... all are simple and within ordinary comprehension, and the only complexity arises from the circumstance that the student may find it necessary to have a clear view of several such steps at once...
George Biddell Airy
To give here an elaborate account of Pappus would be to create a false impression. His work is only the last convulsive effort of Greek geometry which was now nearly dead and was never effectually revived. It is not so with Ptolemy or Diophantus. The trigonometry of the former is the foundation of a new study which was handed on to other nations indeed but which has thenceforth a continuous history of progress.
Ptolemy
My specific... object has been to contain, within the prescribed limits, the whole of the student's course, from the confines of elementary algebra and trigonometry, to the entrance of the highest works on mathematical physics. A learner who has a good knowledge of the subjects just named, and who can master the present treatise, taking up elementary works on conic sections, application of algebra to geometry, and the theory of equations, as he wants them, will, I am perfectly sure, find himself able to conquer the difficulties of anything he may meet with; and need not close any book of Laplace, Lagrange, Legendre, Poisson, Fourier, Cauchy, Gauss, Abel, Hindenburgh and his followers. or of any one of our English mathematicians, under the idea that it is too hard for him.
Augustus De Morgan
[wrote_the_exam]What keeps me awake at night: wondering whether human species is just too stupid to figure out the Universe. I just wonder. I lose sleep over that. Because we define ourselves as intelligent- because we made up the test to say that. And we sit alone at the top of the intelligence chart because we invented the exam, and all the other species of life on Earth are not. So who's to say that the first species (us) to be intelligent (us) has just enough intelligence to actually decode everything that's decodable in the Cosmos? [...] Think of the next closest thing to us, the bonobo chimp- 98½% identical DNA, yet you cannot teach them trigonometry, they have no concept of it. So if that's only 1½% difference in our DNA- and so imagine 1½% beyond us, rather than below us, in intelligence. [...] Their toddlers would be talking about things that would completely confound us.
Neil deGrasse Tyson
The beginning of Christendom, is, strictly, at a point out of time. A metphysical trigonometry finds it among the spiritual Secrets, at the meeting of two heavenward lines, one drawn from Bethany along the Ascent of the Messias, the other from Jerusalem against the Descent of the Paraclete. That measurement, the measurement of eternity in operation, of the bright cloud and the rushing wind, is, in effect, theology.
Charles Williams
It would be inconvenient to interrupt the account of Menaechmus's solution of the problem of the two mean proportionals in order to consider the way in which he may have discovered the conic sections and their fundamental properties. It seems to me much better to give the complete story of the origin and development of the geometry of the conic sections in one place, and this has been done in the chapter on conic sections associated with the name of Apollonius of Perga. Similarly a chapter has been devoted to algebra (in connexion with Diophantus) and another to trigonometry.
Thomas Little Heath
I'm excited about going back to 'Today,' but, at odd moments, I'll grit my teeth in anxiety. I feel like a student before the start of school. I've got my new shoes and my book bag, but I'm not sure I'll remember how to do trigonometry. During my maternity leave, I haven't used many words of more than one syllable.
Jane Pauley
Since you are now studying geometry and trigonometry, I will give you a problem. A ship sails the ocean. It left Boston with a cargo of wool. It grosses 200 tons. It is bound for Le Havre. The mainmast is broken, the cabin boy is on deck, there are 12 passengers aboard, the wind is blowing East-North-East, the clock points to a quarter past three in the afternoon. It is the month of May. How old is the captain.
Gustave Flaubert
![Aristarchos of Samos... was able to use trigonometry to figure out... the distance between the Earth and the Sun. His conclusion... the Sun was about twenty times farther... than the Moon and therefore twenty times bigger than the Moon. In other words, the Sun was... over five times bigger than the Earth in diameter. This insight prompted Aristarchos to propose the heliocentric hypothesis long before Nicolaus Copernicus... It turned out to be quite difficult to tell precisely when the Moon was 50% illuminated, and the correct Sun-Moon angle... isn't 87 degrees but about 89.85 degrees... This makes... the Sun... almost twenty times further away... and about 109 times larger than the Earth... [T]his wasn't corrected until almost two thousand years later, so when Copernicus came along... the overall scale of his Solar System model was about twenty times too small... (Max Tegmark)](https://cdn.quotesdtb.com/img/quotes_images_webp/35/max-tegmark-able-almost-1015835.webp)