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Aside from these points the paper criticised the lax use of such statements as "Two parallel lines meet at infinity," or "A straight line always cuts a circle in two points," etc. Such statements, unexplained, were characterized as an abuse of English and common sense. This paper aroused a spirited discussion. Many elementary text-books are extremely illogical in their treatment of these subjects. It was urged that high school students should not be burdened more than necessary with thesedoi:10.1111/j.1949-8594.1905.tb04542.x fatcat:slqu76yi5recjoueou2vcz7aau