But as the point comes near the center it suddenly, although still moving under the same simple law as from the beginning, makes a very short turn upon its path and flies off rapidly almost in a straight line, out to an infinite distance.
The geometer of to-day knows nothing about the nature of the actually existing space at an infinite distance; he knows nothing about the properties of this present space in a past or future eternity.
If the Euclidean assumptions are true, the constitution of those parts of space which are at an infinite distance from us, "geometry upon the plane at infinity," is just as well known as the geometry of any portion of this room.
Thus we are led to say: Every line through S which joins it to any point at an infinite distance in p is parallel to p.
If, on the other hand, we move the point A to an infinite distance in p, then the line q which passes through A will be a line which does not cut p at any finite point.
The centripetal body cannot be carried to an infinite distance downward, nor the centrifugal body to an infinite distance upward.
Now, as an infinite distance cannot be passed over, no circular motion passing over it is possible, so as to come round to the point of departure.
But between the persons mentioned, him and us, there is such an infinite distance, that it is wonderful how the one descends to the room of the other, to become a sacrifice for us.
One is that sin is the cause of enmity between God and man, and sets us at an infinite distance—that sin is a heinous provocation of his wrath.
I would desire that this might first take impression on your hearts,—that sin sets God and man at infinite distance, and not only distance, but disaffection and enmity.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "infinite distance" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
