 | Joseph Charles Parkinson - 1860 - 154 pages
...greater angle. 3. PROP. XXXII. — 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. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | John Paxton Hall - 1860 - 186 pages
...greater angle. PROF. XXXII. — 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. Enunciate and prove the corollaries of the last proposition. PROP.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...QEF PROPOSITION XXXII. THEOREM. 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. Let ABCbe a triangle, and let one of its sides UCbe produced to... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...24. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of any triangle are equal to two right angles. Fig. 18. !>„ Reference to Prop. XXIX. Book I. will show... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...right angles. ELEMENTS OF GEOMETRY. PROPOsrnojf XXVII. — THEOREM. 94. Jf any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and ^ E let one of its sides, BC be produced towards P ; then the exterior angle... | |
 | Euclides - 1862 - 172 pages
...PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then 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. (References— Prop. i. 13, 29, 31 ; ax. 2.) Let ABC be a triangle,... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and ojiposile angles. Let ABC be a triangle, and д E let one of its sides, В С be produced towards D... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...*28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX. Book I. will show that the angle... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Let ABC be a triangle, and AE lot one of its sides, BC be pro- /\ duced towards D ; then the exterior... | |
 | Benjamin Greenleaf - Geometry - 1863 - 502 pages
...equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles. Lot ABC bo a triangle, and lot one of its sides, BC be produced towards D ; then the exterior angle... | |
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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 together equal to two right angles. 
