 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.  Science Examination Papers - Page 243by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
 | Lewis Sergeant - 1873 - 182 pages
...parallel to g BC, by Prop. 25. Proposition 30. — Theorem. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. If BC be produced to D, the a angle ACD = the two angles at A and B. CONSTRUCTION. — Draw CE parallel... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...point A parallel to the given straight line BC. XXXII. — If a side of any triangle lie produced, tht exterior angle is equal to the two interior and opposite angles; and the three interior angles of evary triangle are equal to two right cmgles. Let ABC be a triangle, and... | |
 | Edward Atkins - 1874 - 426 pages
...the given straight line BC. QEF Proposition 32. — 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 equal to two right angles. Let ABC be a triangle, and... | |
 | Euclides - 1874 - 120 pages
...the given straight lino BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle be produced, tJie 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. * Let ABC be a triangle,... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...iACBis = L DBC, and .-. AC is \\ to BD. (i. 20) PROPOSITION XXIV. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; also the three interior angles of every triangle are together equal to two right angles. Jf & Let ABC... | |
 | Braithwaite Arnett - 1874 - 130 pages
...a straight line equal to a given straight line. 2. Prove that if a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. Trisect a given finite straight line. 3. If a straight line be divided into two equal and also into... | |
 | Education Department,London - 1876 - 1010 pages
...line of unlimited length, from a given point without it. 2. 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. Through a given... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...greater angle shall be greater than the base of the other. 3. 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. Triangles on... | |
 | Edward Atkins - 1876 - 130 pages
...the given straight line BC. QEF Proposition 32. — Theorem. Jf 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. Let ABC be a triangle, and... | |
 | Henry Major - 1876 - 784 pages
...enunciation (only) of the twenty-seventh proposition Of Book I. 3. 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. 1. Find the value... | |
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