Though we cannot SEE angles, we can INFER them, and this with great precision. Our sense of touch, stimulated by necessity, and developed by long training, enables us to distinguish angles far more accurately than your sense of sight, when unaided by a rule or measure of angles.
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Chapter 5. Of Our Methods of Recognizing One AnotherEdwin Abbot
It was a long way down. Before she had gone very far the curious dizziness she had known before came over her again, a dizziness not entirely induced by the spirals she whirled around, but a deeper, atomic unsteadiness as if not only she but also the substances around her were shifting. There was something queer about the angles of those curves. She was no scholar in geometry or aught else, but she felt intuitively that the bend and slant of the way she went were somehow outside any other angles or bends she had ever known. They led into the unknown and the dark, but it seemed to her obscurely that they led into deeper darkness and mystery than the merely physical, as if, though she could not put it clearly even into thoughts, the peculiar and exact lines of the tunnel had been carefully angled to lead through poly-dimensional space as well as through the underground — perhaps through time, too.
C. L. Moore
Perhaps there is nobody who would sacrifice his life for the sake of maintaining that the three angles of a triangle are together equal to two right angles, for such a truth does not demand the sacrifice of our life; but, on the other hand, there are many who have lost their lives for the sake of maintaining their religious faith. Indeed, it is truer to say that martyrs make faith than that faith makes martyrs. For faith is not the mere adherence of the intellect to an abstract principle; it is not the recognition of a theoretical truth, the process in which the will merely sets in motion our faculty of comprehension; faith is an act of the will — it is a movement of the soul towards a practical truth, towards a person, towards something that makes us not merely comprehend life, but that makes us live.
Miguel de Unamuno
Time, so to say, runs at right angles to the page at each point on the curve.
Joan Robinson
Besotted Being! You think yourself the perfection of existence, while you are in reality the most imperfect and imbecile. You profess to see, whereas you can see nothing but a Point! You plume yourself on inferring the existence of a Straight Line; but I CAN SEE Straight Lines, and infer the existence of Angles, Triangles, Squares, Pentagons, Hexagons, and even Circles. Why waste more words? Suffice it that I am the completion of your incomplete self. You are a Line, but I am a Line of Lines, called in my country a Square: and even I, infinitely superior though I am to you, am of little account among the great nobles of Flatland, whence I have come to visit you, in the hope of enlightening your ignorance.
Edwin Abbot
Two signs of learned person are: acceptance of other people's criticism, and being knowledgeable about the angles and dimensions of rhetoric and debate.
Husayn ibn Ali
Abbot, Edwin
Abbot, Jack
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