The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 182
ENTS. Proposition 36. Theorem. If from any point ivithouf a circle two straight lines be draion^one of which cuts the circle, and the other touches it; the rectanglecontained by the whole line which cuts the circle, and the part of itwithout the circle, shall be equal to the square on the line… … Construction. Case I. I^et DCA not pass through thecentre of the circle ABC; find the centre E; [IIL L from E draw EF perpendicular to AC; [I. 12. and join EB, EC, ED. Proof. Because EF drawn from the centre cuts the chordAC at right angles at F, .*. AF = FC. [IIL 3. And because AC is bisected at…
Euclid's Elements · Geometry · Mathematics, Greek
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