 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...the angle EBD. is greater than C. Corollary. At least two anyles of a triangle are acute. 2. Theorem. If two angles of a triangle are equal, the opposite sides are equal and the triangle is isosceles. C Proof. The perpendicular erected at the middle point of the base divides... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...angle EBD. is greater than ('. Corollary. At least two angles of a triangle are aoute. 2. Theorem. If two angles of a triangle are equal, the opposite sides are equal and the triangle is isosceles. C D Proof. The perpendicular erected at the middle point of the base... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...angles of a triangle are acute. :. ./. .. ,• •»• -••-••• >• ' ^ .~ • 2. Theorem. If two angles of a triangle are equal, the opposite sides are equal and the triangle is isosceles. C Proof. The perpendicular erected tit the middle point of the base... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...general description, and the statement is therefore one having a single condition, and its converse is If two angles of a triangle are equal, the opposite sides are equal. 319. Cavalieri's Theorem. — // two solids contained between the same two parallel planes are such... | |
 | Webster Wells - 1909 - 154 pages
...45°. (The sum of the angles of any triangle is equal to two right angles.) § 84. 4. Hence, GE = DG. (If two angles of a triangle are equal, the opposite sides are equal.) * I 90. 5. Then, DE* = 2 x GE* = 2 x 202 = 800. DE = 6. Also, EF BO (If two straight lines are cut... | |
 | William Ernst Paterson - Logarithms - 1911 - 262 pages
...greater angle. (c) If all the sides of a triangle are equal, all the angles are equal. Prop. 11, (a) If two angles of a triangle are equal, the opposite sides are equal. (V) If two angles are unequal, the greater angle is opposite a greater side. (c) If all the angles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...hypothesis and the conclusion of each of the following statements: (a) If iron is heated, it expands. (6) If two angles of a triangle are equal, the opposite sides are equal. (c) Two triangles are congruent if the side's of the one are respectively equal to the sides of the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...theorems of plane geometry : (a) The sum of two sides of a triangle is greater than the third side. (6) If two angles of a triangle are equal, the opposite sides are equal. (c) If two sides of a triangle are unequal, the opposite angles are unequal, etc. (d) Two triangles... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...general description, and the statement is therefore one having a single condition, and its converse is If two angles of a triangle are equal, the opposite sides are equal. 319. Cavalieri's Theorem. — If two solids contained between the same two parallel planes are such... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...hypothesis and the conclusion of each of the following statements : (a) If iron is heated, it expands. (6) If two angles of a triangle are equal, the opposite sides are equal. (c) Two triangles are congruent if the sides of the one are respectively equal to the sides of the... | |
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If two angles of a triangle are equal, the opposite sides are also equal, and the triangle is isosceles. 
