 | David Sands Wright - Geometry - 1906 - 104 pages
...interior angles on the same side of the transversal meet at an angle of ninety degrees. 6. Theorem. In an isosceles triangle, the angles opposite the equal sides are equal. 1. The vertical angle of an isosceles triangle is 12°, how many degrees in each of the angles at the... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...55 Prove Ex. 54 by drawing the triangles on opposite sides of the base. PROPOSITION XIX. THEOREM 173 In an isosceles triangle, the angles opposite the equal sides are equal. HYPOTHESIS. ABC is an isosceles triangle, having AB = AC. CONCLUSION. ZB = Z C. PROOF Draw AD bisecting... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...opposite sides of the base. 56 HK and MN bisect each other at P. Prove PROPOSITION XIX. THEOREM 173 In an isosceles triangle, the angles opposite the equal sides are equal. HYPOTHESIS. ABC is an isosceles triangle, having AB = AC. CONCLUSION. ZB = Z C. PROOF Draw AD bisecting... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...determine the distance of a vessel from the foot of a tower erected on the shore ? THEOREM III 89. In an isosceles triangle the angles opposite the equal sides are equal. Given : Isosceles A ABC in which AB = AC. To Prove : ZB = ZC. Proof : Draw AD bisecting ZA. Then, since... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...angles CBD and CDB, what other sides and angles of the triangles are equal ? PROP. IV. THEOREM 50. In an isosceles triangle, the angles opposite the equal sides are equal. ADB Draw line AB. With any radius greater than \ AB and with A as a centre draw an arc ; with the same... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...angles CBD and CDB, what other sides and angles of the triangles are equal ? - ' o PROP. IV. THEOREM 50. In an isosceles triangle, the angles opposite the equal sides are equal. £L> Draw line AB. With any radius greater than J AB and with A as a centre draw an arc ; with the... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...at C, on this perpendicular, and in line with O and P. They then found PROPOSITION IV. THEOREM 74. In an isosceles triangle the angles opposite the equal sides are equal. ADB Given the isosceles triangle ABC, with AC equal to BC. To prove that Z A = Z B. Proof. Suppose... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...If the sum of two adjacent angles is a straight angle, their exterior sides 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... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 286 pages
...side, equiangular, equilateral, collinear points, concurrent lines. PROPOSITIOX VIII. THEOREM. 98. In an isosceles triangle the angles opposite the equal sides are equal. ADB Given the A ABC, in which AC = BC. To prove %A='%.B. lu As ACD and BCD, CD = CD, Iden. AC = BC,... | |
 | Robert Louis Short, William Harris Elson - Mathematics - 1910 - 202 pages
...isosceles triangle has two sides equal. An equilateral triangle has three sides equal. THEOREM III 78. In an isosceles triangle the angles opposite the equal sides are equal. Draw line AB. With A and B as centers and the same radius greater than 1 AB, describe arcs intersecting... | |
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In an isosceles triangle the angles opposite the equal sides are equal. 
