| 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... | |
| 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... | |
| 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... | |
| 1903 - 898 pages
...whole he loses Is. Gd. How many bullseyes does he make 1 GEOMETRY. Time : two hours. 1. Prove that the **greater angle of every triangle is subtended by the greater side or** bus the greater side opposite to it. ABC is a triangle having an obtuse angle at A. AB is produced... | |
| Euclid - Euclid's Elements - 1904 - 488 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.** PROPOSITION 20. THEOREM. Any two sides of a triangle are together greater tlum the third side. Let... | |
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