| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...: OP2 A8 P. .'. OP2 is unique. Def. 4th prop., cor. 1 Theorem 8. Triangles are similar if they have **two angles of the one equal to two angles of the other,** respectively. Given the AA^d, A2B2C2, with Z A1 = Z A2 , Z G1 = ZC2. To prove that AA^d — A A2B2C2.... | |
| George Albert Wentworth - Geometry - 1896 - 50 pages
...from two right angles, the remainder is equal to the third angle. 140. Cor. 2. If two triangles have **two angles of the one equal to two angles of the other,** the third angles are equal. 141. Cor. 3. If two right triangles have an acute angle of the one equal... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...sides are proportional and the triangles are similar. § 261 QED 263. COR. I. If two triangles hare **two angles of the one equal to two angles of the other,** the triangles are similar. 264. COR. II. If two straight lines are cut by a series of parallels, the... | |
| James Howard Gore - Geometry - 1898 - 210 pages
...angle can be found by subtracting this sum from two right angles. 82. COR. 3. If two triangles have **two angles of the one equal to two angles of the other,** the third angles are equal. 83. COR. 4. A triangle can have but one right angle, or but one obtuse... | |
| Seymour Eaton - 1899 - 340 pages
...proved that the angle BAC is not equal to the angle EDF. PROPOSITION 26. THEOREM If two triangles have **two angles of the one equal to two angles of the other,** each to each, and one side equal to one side, namely, either the side which is adjacent to the angles... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry, Plane - 1899 - 252 pages
...proportional between EF and EG. PROPOSITION XVII. 263. Theorem. Two triangles are similar if they have **two angles of the one equal to two angles of the other,** respectively. 0 A> A, Given the & A&d, A 2 B 2 d, with ZA 1 = ZA l , Zd = ZC 2 . To prove that A A... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 382 pages
...proportional between EF and EG. PROPOSITION XVII. 263. Theorem. Two triangles are similar if they have **two angles of the one equal to two angles of the other,** respectively. Given the A, with A, zcv To prove that A AiBiCi ^. A A ^B^C2 . = ZA 2 , Z (7, = Proof.... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...angles. QED From this Proposition we draw the following important inferences. 1 . If two triangles have **two angles of the one equal to two angles of the other,** each to each, then the third angle of the one is equal to the third angle of the other. 2. In any right.angled... | |
| Great Britain. Board of Education - Education - 1900
...EUCLID. 1. Define a plane angle, a. rhombus, and similar segments of circles. 2. If two triangles have **two angles of the one equal to two angles of the other** each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are... | |
| Manitoba. Department of Education - Education - 1900
...other. If AC, BD intersect then their sum is greater than the sum of AB and DC. 8. If two triangles have **two angles of the one equal to two angles of the other** each to each and one side of the one equal to one side of the other, the equal sides being adjacent... | |
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