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Answer for the clue "Lines through circles ", 7 letters:
secants

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n. (plural of secant English)

Usage examples of secants.

They saw little of Mr Martin for the rest of the day, and sometimes it seemed that he was as eager as his pupils to abandon sines, tangents and secants: he was in fact arranging his very large collection of the Brazilian coleoptera, hastily gathered and only now revealing its full wealth of new species, new genera, and even new families.

In spite of his dear friend Queenie’s patient explanations of tangents, secants and sines, he had never had a really firm grasp of the principles of spherical trigonometry.

In spite of his dear friend Queenie's patient explanations of tangents, secants and sines, he had never had a really firm grasp of the principles of spherical trigonometry.