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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 33
by Euclid, John Playfair - 1819 - 333 pages

Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...Exercise 2, page 51.) PROPOSITION 19. When two angles of a triaitjle are unequal, the greati r angle has the greater side opposite to it. Let ABC be a...triangle, of which the angle ABC is greater than the angle ACB : it is required to prove that the side AC is greater than the side AB. PROOF. AC must be either...

Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...right angle. 5. Compare Proposition 18 with Proposition 5. Lesson No. 11 PROPOSITION 19. THEOREM The greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle ACB ; then the side AC is also greater than the side AB. A, BC Proof: For if not, AC is either equal...

A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...the truth of the remaining supposition is inferred. Euclid enunciated Proposition 19 as follows : The greater angle of every triangle is subtended by the...greater side, or, has the greater side opposite to it. [For Exercises on Props. 18 and 19 see page 44.] PROPOSITION 20. THEOREM. Any two sides of a triangle...