The convex hull of a compact subset of an infinite dimensional topological vector space need not be a compact set.

[A] delighted shout from the children swung him toward the door again. His sister, Mrs. Gerard, stood there in carriage gown and sables, radiant with surprise. Phil! You! Exactly like you, Philip, to come strolling in from the antipodes—dear fellow! recovering from the fraternal embrace and holding both lapels of his coat in her gloved hands.

Locke, whom there is no reason to suspect of being a favourer of idleness or libertinism, has advanced, that whoever hopes to employ any part of his time with efficacy and vigour, must allow some of it to pass in trifles.

… spend all I have; only give me so much of your time in exchange of it, as to lay an amiable siege to the honesty of this Ford’s wife …