If a line S2 cut an arc aa at b, so that the two segments ab, ba lie on opposite sides of the line, then projecting the figure so that the line Sl goes off to infinity, the tangent at b is projected into the asymptote, and the arc ab is projected into a hyperbolic leg touching the asymptote at one extremity; the arc ba will at the same time be projected into a hyperbolic leg touching the same asymptote at the other extremity (and on the opposite side), but so that the two hyperbolic legs may or may not belong to one and the same branch.
The original matter touching the sperm whale to be found in their volumes is necessarily small; but so far as it goes, it is of excellent quality, though mostly confined to scientific description.
The sensitive impartiality which withheld him from touching perhaps the most interesting period in the history of the constitution did not save him from the charge of partisanship. The Quarterly Review for 1828 contains an article on the Constitutional History, written by Southey, full of railing and reproach.
There is a touching epistle (Medea to Jason) in the Heroides of Ovid.
So with a joyful consciousness of performing a magnanimous deed--interrupted several times by the tears that dimmed her velvety black eyes--she wrote that touching letter the arrival of which had so amazed Nicholas.
So ignorant are most landsmen of some of the plainest and most palpable wonders of the world, that without some hints touching the plain facts, historical and otherwise, of the fishery, they might scout at Moby Dick as a monstrous fable, or still worse and more detestable, a hideous and intolerable allegory.
Everywhere he saw the stewards' accounts, according to which the serfs' manorial labor had been diminished, and heard the touching thanks of deputations of serfs in their full-skirted blue coats.
At the time, I devoted three days to the studious digesting of all this beer, beef, and bread, during which many profound thoughts were incidentally suggested to me, capable of a transcendental and Platonic application; and, furthermore, I compiled supplementary tables of my own, touching the probable quantity of stock-fish, etc., consumed by every Low Dutch harpooneer in that ancient Greenland and Spitzbergen whale fishery.
To prevent their growing lanky, they should be kept with their heads almost touching the glass; and as the pots get filled with roots they must be shifted into others, 7 or 8 in.
While heretical on so many points, he was a firm believer in supernatural Christianity, and frequently took the field in defence of prophecy and miracle, including anointing the sick and touching for the king's evil.