 | Sandhurst roy. military coll - 1859 - 672 pages
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three...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... | |
 | 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... | |
 | 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is...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 be... | |
 | Civil service - 366 pages
...the other two sides of the triangle, but shall contain a greater angle. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is...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... | |
 | John Paxton Hall - 1860 - 186 pages
...the other two sides of the triangle, but shall contain a greater angle. PROF. XXXII. — If a side of any triangle be produced, the exterior angle is...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... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...the other two sides of the triangle, but shall contain a greater angle. 3. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is...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... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...the same : and thence show that two straight lines cannot have a common segment. 4. If the side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 5. Describe a square on a given straight line. 6. Define " a gnomon" and " a rectangle." 7. The parallelograms... | |
 | Herbert Spencer - Psychology - 1882 - 722 pages
...therefore also the angles CBA, BAC, ACB, are together equal to two right angles. " Therefore if a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion is reached, as well... | |
 | College of preceptors - 1882 - 528 pages
...any triangle ABO is bisected by Bit, which cuts the base in D ; prove that BO is greater than GD. 4. The three interior angles of every triangle are together equal to two right angles. Enunciate the two corollaries of this Proposition, but give the proof of the second corollary only.... | |
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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 equal to two right angles. 
