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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. "
The Teaching of Geometry - الصفحة 182
بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339
عرض كامل - لمحة عن هذا الكتاب

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle i* equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let^-BCbeatriangle,andletone of its sides 5...

First Practical Lines of Geometrical Drawing ...

J F H. De Rheims - 1865
...the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite sides and angles...

An introduction to plane and spherical trigonometry

Alfred Challice Johnson - 1865
...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior...and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled...

The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...introduction to the analytical method. Thus, take for example i. 32, in which we are required to prove that the exterior angle is equal to the two interior and opposite angles. First, draw the line CE, assuming that it divides the exterior angle into parts that are respectively...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - عدد الصفحات: 400
...the given straight line BC. QEF PROPOSITION 32. THEOREM. If a side of any triangle &« produced, tlie 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 let one of its sides...

Elementary Geometry, المجلد 1

James Maurice Wilson - 1868
...Exercises on parallels . ...... ..17 SECTION III. PLANE TRIANGLES. THEOREM 8. If one side of a triangle is produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of any triangle are together equal ' to two right angles ii 20 THEOREM 9. An isosceles triangle has the...

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

Robert Potts - 1868 - عدد الصفحات: 410
...BC. (I. 27.) PROPOSITION XXXII. THEOREM. If a tide of any triangle be produced, the exterior angle it equal to -the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides...

Minutes of the General Council of Medical Education & Registration ..., المجلد 6

General Medical Council (Great Britain) - 1869
...What is the common modern classification of Duties ? HIGHER MATHEMATICS. 1. If a side of a triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 2. In equal circles equal angles stand upon...

Elementary geometry

James Maurice Wilson - 1869
...SECTION III. TRIANGLES. THEOREM 7. If one side of a triangle is produced, the exterior angle will be equal to the two interior and opposite angles, and the three interior angles of any triangle will be together equal to two right angles . . . . . • .20 Four Corollaries. THEOREM...




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