 | Moffatt and Paige - 1879 - 428 pages
...equilateral triangle is also equiangular. Proposition VI. Theorem. If two angles of a triangle be equal to one another, the sides also which subtend, or are...a triangle having the angle ABC equal to the angle AC B. Then the side AB shall be equal to the side A C. For, if AB be not equal to AC, one of them is... | |
 | Euclides - 1879 - 146 pages
...angles shall pass through the vertex. PROPOSITION VI. THEOREM. If two angles of a triangle be equal to one another, the sides also which subtend, or are...angles, shall be equal to one another. Let ABC be A in which £ ABC = L ACB. Then shall AB = AC. A Constr. For, if AB be not equal to AC, one of them is... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...that every equilateral triangle is equiangular. 6. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles shall be equal to one another. What name is given to a triangle which has two sides equal ? Same proposition. What property of equiangular... | |
 | Edward Harri Mathews - 1879 - 94 pages
...Christmas 1874. MALE CANDIDATES. EUCLID. 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition in Euclid is the converse of this ? 2. If from the ends of one side of a triangle... | |
 | Joseph Wollman - 1879 - 120 pages
...Scholarship Examination 1874. EUCLID. I. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition in Euclid is the converse of this ? This is the 6th proposition in the First Book,... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...triangle be equal to each other, the sides which are opposite to them will also be equal to each other. Let ABC be a triangle having the angle ABC equal to the angle A CB • then will AB be equal to A C. Then because in the triangles DBC, A CB, DB is equal AC, BCcommon,... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...PROPOSITION 6. THEOREM. If two angles of a triangle be equal to one another, the sides also which attend, or are opposite to, the equal angles, shall be equal...triangle, having the angle ABC equal to the angle A CB • the side AC shall be equal to the side AB. For if AC be not equal to AB, one of them must... | |
 | 1880 - 594 pages
...Notes of a Lesson on "The Tropics." Euclid. — i. If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. What is the converse of this proposition ? 2. Any three sides of a quadrilateral are together greater... | |
 | Walter Percy Workman - 1880 - 248 pages
...prejudices will vanish. The abbreviation for the square on AB should not be used too often. i. Euc. i. 6. Let ABC be a triangle, having the angle ABC equal to the angle ACB ; the side AC shall be equal to the side AB. For if AC be not equal to AB, one of them must be greater than the... | |
 | Education Ministry of - 1880 - 238 pages
...contained by AB and CD, " rect. AB. CD." 1. If two angles of a triangle be equal to one another, the sides which subtend, or are opposite to, the equal angles shall be equal to one another. What proposition in Euclid is the converse of this ? 2. If from the ends of one side of a triangle... | |
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IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. 
