 | War office - 1858 - 578 pages
...of a triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. State Euclid's corollaries to this proposition. VOLUNTARY PORTION. 1. Given the centre of the circle... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. 9 & 10. Em. H. 1 & 2.) THEOREM V. Parallelograms standing on the same base, and... | |
 | Education - 1859 - 414 pages
...than the third side. Madras ^e difference of any two sides is always less than the third side. " 4. The three interior angles of every triangle are together equal to two right angles. How many degrees are there in an angle of a regular octagon? 5. In any right angled triangle, tire... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure made by producing the sides successively... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles : and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight... | |
 | Civil service - 366 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
 | Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together equal to two right angles." One day, when he was busied with the demonstration of this theorem, his father caught him in the act... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to D. Then the exterior angle A CD shall... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a... | |
 | John Paxton Hall - 1860 - 186 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
| |
If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. 
