| Euclides - 1855
...4.—If one angle of a triangle be a right angle, the sum of the other two if a right angle. Cor. 5.—If **one angle of a triangle be equal to the sum of the** other two, it is a right angle. Cor. 6.—If one angle of a triangle be greater than the 8nm of the... | |
| Cambridge univ, exam. papers - 1856
...equal to each other, the sides also which subtend the equal angles, shall be equal to each other. If **one angle of a triangle be equal to the sum of the** other two, the triangle can always be divided into two isosceles triangles. 2. The angles which one... | |
| Isaac Todhunter - 1859
...universally true. EXAMPLES. 1. If A = a, shew that B and b are equal or supplemental, as also G and c. 2. If **one angle of a triangle be equal to the sum of the** other two, the greatest side is double of the distance of its middle point from the opposite angle.... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...having the angle A double the angle C; shew that the side BC is less than double the side AB. 32. If **one angle of a triangle be equal to the sum of the** other two, the greatest side is double of the distance of its middle point from the opposite angle.... | |
| Isaac Todhunter - Spherical trigonometry - 1863 - 132 pages
...universally true. EXAMPLES. 1. If A =a, shew that B and b are equal or supplemental, as also C and c. 2. If **one angle of a triangle be equal to the sum of the** other two, the greatest side is double of the distance of its middle point from the opposite angle.... | |
| Euclides - 1864
...having the angle A double the angle C; shew that the side BC is less than double the side AB. 32. If **one angle of a triangle be equal to the sum of the** other two, the greatest side is double of the distance of its middle point from the opposite angle.... | |
| Euclides - 1864
...both AB and CD are on the same side of EF. Prop. xxxn. From this proposition, it is obvious that if **one angle of a triangle be equal to the sum of the** other two angles, that angle is a right angle, as is shewn in Euc. in. 31, and that each of the angles... | |
| Euclides - 1864
...both AB and CD are on the same side of EF. Prop, xxxii. From this proposition, it is obvious that if **one angle of a triangle be equal to the sum of the** other two angles, that angle is a right angle, as is shewn in Euc. in. 31, and that each of the angles... | |
| Samuel H. Winter - 1864
...the sum of three angles in terms of the sines and cosines of the angles themselves. 5. Investigate **an expression for the area of a plane triangle in terms of** the sides. 6. Show how by observing the angular distances from one another of three distant objects,... | |
| Euclides - 1864
...both AB and CD are on the same side of EF. Prop. xxxiz. From this proposition, it is obvious that if **one angle of a triangle be equal to the sum of the** other two angles, that angle is a right angle, as is shewn in Euc. in. 31, and that each of the angles... | |
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