...the mathematician uses an indirect definition of congruence, making use of the fact that the axiom of parallels together with an additional condition can replace the definition of congruence.
None of the individual metal hunks of an airplane have the property of flight, but when they are attached together in the right way, the result takes to the air. A thin metal bar won't do you much good if you're trying to control a jaguar, but several of them in parallel have the property of containment. The concept of emergent properties means that something new can be introduced that is not inherent in any of the parts.
The story of any one man's real experience finds its startling parallel in that of every one of us.
Happily for America, happily, we trust, for the whole human race, they pursued a new and more noble course. They accomplished a revolution which has no parallel in the annals of human society.
A farmer who had a quarrelsome family called his sons and told them to lay a bunch of sticks before him. Then, after laying the sticks parallel to one another and binding them, he challenged his sons, one after one, to pick up the bundle and break it. They all tried, but in vain. Then, untying the bundle, he gave them the sticks to break one by one. This they did with the greatest ease. Then said the father, "Thus, my sons, as long as you remain united, you are a match for anything, but differ and separate, and you are undone".
Pure love is matchless in majesty; it has no parallel in power and there is no darkness it cannot dispel.
There are some remarkable parallels between basketball and politics. Michael Jordan has already mastered the skill most needed for political success: how to stay aloft without visible means of support.
I've always felt that homophobic attitudes and policies were unjust and unworthy of a free society and must be opposed by all Americans who believe in democracy. The civil rights movement thrives on unity and inclusion, not division and exclusion. My husband's struggle parallels that of the gay rights movement.
Whoever wishes to acquire a deep acquaintance with Nature must observe that there are analogies which connect whole branches of science in a parallel manner, and enable us to infer of one class of phenomena what we know of another. It has thus happened on several occasions that the discovery of an unsuspected analogy between two branches of knowledge has been the starting point for a rapid course of discovery.
What is one to think of those fools who tell one that the artist is always subordinate to nature? Art is a harmony parallel with nature.
Time doth transfix the flourish set on youth And delves the parallels in beauty's brow.
In some parallel universe, there was a Gansey who could tell Blue that he found the ten inches of her bare calves far more tantalizing than the thirteen cubic feet of bare skin Orla sported. But in this universe, that was Adam’s job. He was in a terrible mood.
In bullfighting there is an interesting parallel to the pause as a place of refuge and renewal. It is believed that in the midst of a fight, a bull can find his own particular area of safety in the arena. There he can reclaim his strength and power. This place and inner state are called his querencia. As long as the bull remains enraged and reactive, the matador is in charge. Yet when he finds his querencia, he gathers his strength and loses his fear. From the matador's perspective, at this point the bull is truly dangerous, for he has tapped into his power.
and because what we learn in the dark remains all our lives, a noise like the sea, displacing the day's pale knowledge, you'll come to yourself in a glimmer of rainfall or frost, the burnt smell of autumn, a meeting of parallel lines, and know you were someone else for the longest time, pretending you knew where you were, like a diffident tourist, lost on the one main square, and afraid to enquire.
But nearly every woman I know has a roughly similar story - in fact, dozens of them: stories about being obsessed with a celebrity, work colleague or someone they vaguely knew for years; living in a parallel world in their head; conjuring up endless plots and scenarios for this thing that never actually happened.
In the parallel universe the laws of physics are suspended. What goes up does not necessarily come down, a body at rest does not tend to stay at rest and not every action can be counted on to provoke an equal and opposite reaction. Time, 'too, is different. It may run in circles, flow backward, skip about from now to then. The very arrangement of molecules is fluid: Tables can be clocks, faces, flowers.
We landed, in fact, parallel to a canal, like there were two runways: one for us and one for waterfowl.
[Buddhism and Christianity] are in one sense parallel and equal; as a mound and a hollow, as a valley and a hill. There is a sense in which that sublime despair is the only alternative to that divine audacity. It is even true that the truly spiritual and intellectual man sees it as sort of dilemma; a very hard and terrible choice. There is little else on earth that can compare with these for completeness. And he who does not climb the mountain of Christ does indeed fall into the abyss of Buddha.
In the end I sort of though we created a companion who was so alive and dynamic and so wedded to the doctor that you’d need a whole universe to contain her in. The only way to get rid of her is to send her into a parallel world from which she can never return; otherwise she would stay with the doctor forever.
It was like I existed in a kind of parallel universe, thinking thoughts and feelings that no one else understood.
This is not a story of heroic feats, or merely the narrative of a cynic; at least I do not mean it to be. It is a glimpse of two lives running parallel for a time, with similar hopes and convergent dreams.
There never were, since the creation of the world, two cases exactly parallel.
When I'm playful I use the meridians of longitude and parallels of latitude for a seine, and drag the Atlantic Ocean for whales. I scratch my head with the lightning and purr myself to sleep with the thunder.
The spiritual master and Krishna are two parallel lines. The train, on two tracks, moves forward. The spiritual Master and Krishna are like these two tracks. They must be served simultaneously. Krishna helps one to find bona fide Spiritual Master and bona fide Spiritual Master helps one to understand Krishna. If one does not get bona fide Spiritual Master, then how he can ever understand Krishna ? You cannot serve Krishna without Spiritual Master, or serve just Spiritual Master without serving Krishna. They must be served simultaneously.
The fact of evolution is the backbone of biology, and biology is thus in the peculiar position of being a science founded on an unproved theory -is it then a science or a faith? Belief in the theory of evolution is thus exactly parallel to belief in special creation - both are concepts which believers know to be true but neither, up to the present, has been capable of proof.
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