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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.
The geometry of the three first books of Euclid, by direct proof from ... - Seite 24
von Euclides - 1856
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## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 292 Seiten
...the alternate angles EAD, ADC are equal, EF is parallel (I. 25) to BC. Proposition 30. Theorcm. — If one side of a triangle be produced, the exterior angle is equal to the two opposite interior angles; and the three interior angles of any triangle are equal to two right angles....
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## The Competitor, Bände 3-4

1883
...between the angles which the line drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and that the three angles of every triangle are together...
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## The Cambridge Examiner, Band 2

1882
...together equal to two right angles, these two straight lines are in one and the same straight line. 6. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 7. The greater side of every triangle is opposite...
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## Class lessons on Euclid

Marianne Nops - 1882
...straight lines meeting at one point are together equal to four right angles. PROPOSITION XVI., THEOREM 9. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let BC, a side of A ABC, be produced to D. The...
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## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 Seiten
...the given straight line BG. 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 together equal to two right angles. Let ABC be a triangle, and...
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## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 Seiten
...equal. 35. The bisectors of two opposite vertical angles are in the same straight line. PROP. 16. THEOR. If one side of a triangle be produced, the exterior * angle is greater than either of the interior opposite angles. Given ABAC, having BC produced to D. To prove...
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## Annual Report

1886
...other ; and if the equal sides be produced, the angles on the other side of the base are also equal. 8. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Straight lines which are parallel to the same...
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## The Practical Teacher, Band 2

1883
...equal to the angle contained by the two lides equal to them of the other. See Prop. VIII. Bk. I. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. See Prop. XVI. Bk. I. 20 [MARCH, 1882. Music....
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## The Practical Teacher; with which is Incorporated the Practical ..., Band 2

Joseph Hughes - 1883
...equal to the angle contained by the two sides equal to them of the other. See Prop. VIII. Bk. I. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. See Prop. XVI. Bk. I. THE PRACTICAL TEACHER. [MARCH,...
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## Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

...perpendicular to a given straight line of unlimited length, from a given point without it. 2. If a side of a triangle be produced, the exterior angle...the two interior and opposite angles; and the three interior angles are equal to two right angles. If ABC be any triangle, and through D the middle point...
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