 | George Clinton Shutts - Geometry - 1904 - 112 pages
...figure and show this to be true. Show the equality of the As in other cases. BD = B C. 126. Theorem. // two angles of a triangle are equal, the sides opposite them are equal and the triangle is isosceles. B M Let ABC represent a triangle in which the angle B is equal to angle... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...triangles are congruent. 89. In an isosceles triangle the angles opposite the equal sides are equal. 95. If two angles of a triangle are equal, the sides opposite them are equal and the triangle is isosceles. 100. If two triangles have the three sides of one respectively equal... | |
 | George William Myers - Mathematics - 1909 - 394 pages
...the vertex to the midpoint of the base bisects the vertex-angle, and is perpendicular to the base. 9. If two angles of a triangle are equal, the sides opposite them are equal. In this statement, it is assumed that two angles of a triangle are equal. From this it is inferred... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...the vertex ^4 of the triangle ABC to any point of the side BC that ZB + ZC < 2 rt. A. Use § 83. 4. If two angles of a triangle are equal, the sides opposite them are equal. Use §§ 84, 86. 5. Either leg of an isosceles triangle is greater than half of the base. 6. Show that... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...form a straight line. 6. In an isosceles triangle the angles opposite the equal sides are equal. 7. If two angles of a triangle are equal, the sides opposite them are equal. 8. The sum of the acute angles of a right triangle is a right angle. 9. An equilateral triangle is... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...the vertex A of the triangle ABC to any point of the side BC that ZB + ZC < 2 rt. A. Use § 83. 4. If two angles of a triangle are equal, the sides opposite them, are equal. Use §§ 8"4, 86. 5. Either leg of an isosceles triangle is greater than half of the base. SUGGESTION.... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...down on itself. Even to lay it down on its " trace " is more objectionable than the plan of Pappus. THEOREM. If two angles of a triangle are equal, the sides opposite the equal angles are equal, and the triangle is isosceles. The statement is, of course, tautological,... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...two sides of a triangle are equal, the angles opposite them are equal. Theorem III, § 40. (Converse) If two angles of a triangle are equal, the sides opposite them are equal. Theorem XVI, § 72. In case both a theorem and its converse are true, they may be stated together in... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...two sides of a triangle are equal, the angles opposite them are equal. Theorem III, § 40. (Converse) If two angles of a triangle are equal, the sides opposite them are equal. Theorem XVI, § 72. In case both a theorem and its converse are true, they may be stated together in... | |
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Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles. 
