 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...the one are respectively equal to a side and the two adjacent angles of the other. PROPOSITION VIII. In an isosceles triangle the angles opposite the equal sides are equal. Corollary. The straight line bisecting the vertical angle of an isosceles triangle bisects the base,... | |
 | George Anthony Hill - Geometry - 1888 - 202 pages
...now proved, because the same reasoning •will hold good for any two triangles that can be drawn. 4. Theorem. — In an isosceles triangle the angles opposite the equal sides are equal. HYPOTHESIS. ABC an isosceles triangle. AC and BC the equal sides. CONCLUSION. ZABC = ZBAC. ADD PROOF.... | |
 | George Anthony Hill - Geometry - 1888 - 200 pages
...good for any two triangles that can be drawn. 3. Name all the equal parts in the A ABC and DEF. 4. Theorem. — In an isosceles triangle the angles opposite the equal sides are equal. HYPOTHESIS. ABC an isosceles triangle. AC and BC the equal sides. CONCLUSION. Z. ADB PROOF. Successive... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...equal Z D, and is not less than Z D. .-, Z A is greater than Z D. QEO PROPOSITION XXIX. THEOREM. 154. In an isosceles triangle the angles opposite the equal sides are equal. A Let ABC be an isosceles triangle, having the sides AB and AC equal. To prove Z 11 =•- Z C. Proof.... | |
 | George Albert Wentworth - 1889 - 264 pages
...each to each. 39. Corollary. Two right triangles are equal if their legs are equal, each to each. 40. Theorem. In an isosceles triangle the angles opposite the equal sides are equal. 41. Corollary. An equilateral triangle is equiangular. 42. Theorem. If in a triangle two angles are... | |
 | George Albert Wentworth - 1889 - 276 pages
...each to each. 39. Corollary. Two right triangles are equal if their legs are equal, each to each. 40. Theorem. In an isosceles triangle the angles opposite the equal sides are equal. 41. Corollary. An equilateral triangle is equiangular. 42. Theorem. If in a triangle two angles are... | |
 | James Wallace MacDonald - Geometry - 1889 - 80 pages
...triangle is equal to the sum of the two opposite interior angles. Proposition XXXIV. A Theorem. 71. In an isosceles triangle the angles opposite the equal sides are equal. Proposition XXXV. A Theorem. 72. If two angles of a triangle are equal, the sides opposite these angles... | |
 | James Wallace MacDonald - Geometry - 1894 - 76 pages
...triangle is equal to the sum of the two opposite interior angles. Proposition XXXIV. A Theorem. 71. In an isosceles triangle the angles opposite the equal sides are equal. COROLLARY. An equilateral triangle is also equiangular. Proposition XXXV. A Theorem. 72. If two angles... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...triangle is 40° 14' 48", what is the value of the other acute angle ? Proposition 25. Theorem. 111. In an isosceles triangle the angles opposite the equal sides are equal. Hyp. Let ABC be an isosceles A having AC = BC. To prove /_ A = Z B. Proof. Draw the line CD from the... | |
 | Education - 1890 - 770 pages
...four hypotheses regarding two straight lines from which they can be proved parallel. 4. Prove that in an isosceles triangle the angles opposite the equal sides are equal. 5. When are polygons mutually equiangular ? Explain the term homologous sides. 6. To what is the sum... | |
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In an isosceles triangle the angles opposite the equal sides are equal. 
