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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.
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages

Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...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....

Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...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....

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 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...

The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

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...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 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...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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,...

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 514 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...

Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

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...