A Quote by Archimedes

How many theorems in geometry which have seemed at first impracticable are in time successfully worked out! — © Archimedes
How many theorems in geometry which have seemed at first impracticable are in time successfully worked out!
There are infinitely many variations of the initial situation and therefore no doubt indefinitely many theorems of moral geometry.
For a long time when I was first starting out, I didn't have an agent, I hadn't really gone to many auditions... I was very unaware of how the industry worked so I didn't have the preconceptions or worries.
The Soul which is approaching its' liberation, as it looks back over past lives... down the vistas of the centuries along which it has slowly been climbing,... is able to see there the way in which the bonds were made, the causes which set it in motion. It is able to see how many of those causes have worked themselves out and... how many... are still working themselves out.
The first time I read a crime novel - I think it may have been an Elmore Leonard book - it took some time for me to realise how the genre worked. There were about 20 characters on the first page, and I wasn't used to this. I started to enjoy it when I saw that was how crime books worked.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!
When I first started out, I said to myself, if this doesn't happen there will be something else that I can do. That seemed possible because I knew how to do so many different kinds of jobs.
As long as we work within the budget and are responsible, which by the way it's amazing how many people aren't but we are. We've worked within the budget. We've worked within the time and we're making the movie that we want. That's the reward and I couldn't be happier.
I got my first computer in the 6th grade or so. As soon as I got it, I was interested in finding out how it worked and how the programs worked and then figuring out how to write programs at just deeper and deeper levels within the system.
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
The idealist's program of political or economic reform may be impracticable, absurd, demonstrably ridiculous; but it can never be successfully opposed merely by pointing out that this is the case. A negative opposition cannot be wholly effectual: there must be a competing idealism; something must be offered that is not only less objectionable but more desirable.
Just when I got out of school, I seemed to get hired for a lot of dramatic things, and people tend to remember you how they've seen you the first time.
Every show is a mess at its first preview. No one's had enough time to rehearse in costumes, traffic patterns backstage haven't been worked out, machinery weighing thousands of pounds is being operated for the first time. And, also, it's the first time all the material you've written is before the public.
Kepler's discovery would not have been possible without the doctrine of conics. Now contemporaries of Kepler-such penetrating minds as Descartes and Pascal-were abandoning the study of geometry ... because they said it was so UTTERLY USELESS. There was the future of the human race almost trembling in the balance; for had not the geometry of conic sections already been worked out in large measure, and had their opinion that only sciences apparently useful ought to be pursued, the nineteenth century would have had none of those characters which distinguish it from the ancien régime.
I have seen things few of my countrymen have. The first time I went on an aeroplane I couldn't work out how the lavatories worked up in the sky.
I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few courses that seem to be qualitatively different. Geometry was the first exciting course I remember. Instead of memorizing facts, we were asked to think in clear, logical steps. Beginning from a few intuitive postulates, far reaching consequences could be derived, and I took immediately to the sport of proving theorems.
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