 | George Albert Wentworth - 1889 - 276 pages
...Corollary II. The sum of the acute angles of a right triangle is equal to 90°. y i /" / 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. X 33. Theorem. The sum of the angles of a quadrilateral is equal... | |
 | George Albert Wentworth - 1889 - 264 pages
...31. Corollary II. The sum of the acute angles of a right triangle is equal to 90°. ~ , 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 33. Theorem. The sum of the angles of a quadrilateral 'is equal to... | |
 | William Kingdon Clifford - Mathematics - 1891 - 312 pages
...Fio. 21. The other form into which our proposition may be thrown is that either of the exterior angles of a triangle is equal to the sum of the two interior angles opposite to it. For, in the figure, the exterior angle A c D, together with A c B, makes two... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...6. Construct a right-angled triangle, having given one side and the angle opposite. PROPOSITION 32. An exterior angle of a triangle is equal to the sum of the two interior opposite angles; and the sum of the three interior angles of a triangle is equal to two right angles.... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...perimeter of a triangle is less than twice the sum of the medians. PROPOSITION XXVIII. 119. Theorem. An exterior angle of a triangle is equal to the sum of the opposite interior angles. Let ABC represent a triangle, D AC an exterior angle, and В and С the... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...third side. 136. Theorem. The sum of the angles of a triangle is equal to 180 degrees. 137. Corollary. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 138. Corollary. The sum of the acute angles of a right triangle is... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...6. Construct a right-angled triangle, having given one side and the angle opposite. PROPOSITION 32. An exterior angle of a triangle is equal to the sum of the two interior opposite angles ; and the sum of the three interior angles of a triangle is equal to two right angles.... | |
 | John Macnie - Geometry - 1895 - 386 pages
...(47) 121. COB. 1. Each angle of a triangle is the supplement of the sum of the other two. 122. COR. 2. An exterior angle of a triangle is equal to the sum of the two remote interior angles. For its supplement is also the supplement of those two. 123. COR. 3.... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...interior angles. Can you give a reason for the fact stated in the following theorem ? PJRINCIPLE 20. — An exterior angle of a triangle is equal to the sum of the opposite interior angles. 71. Find angle c and angle b. 72. Every degree is divided into 60 equal... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...AC and AE. To PROVE — angle m is measured by \ (arc CE — arc BD). Join CD. Then m + w=s. § 59 [An exterior angle of a triangle is equal to the sum of the two opposite interior angles.] Hence m = s—w. Ax. 3 But s is measured by i arc CE. § 197 And... | |
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The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. 
