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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
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - عدد الصفحات: 59
...the base, the sum of the other sides, and the vertical angle are given. 2. 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. At what angles are the sides of a regular duodecagon...

The Pupil-teacher: A Monthly Journal of Practical Educational ..., المجلد 3

1857
...to the base; and prove that the line so drawn bisects the other side. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles. If the triangle is equilateral, what is the relation between the exterior angle and the adjacent interior...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...C.3&2, P.29 2 3 P. 4. Cor. P. 15. PROP. 32. — THEOR. — (Very Important.) 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. CONSTRUCTION. — P. 31. To draw a st. line,...

Report of Her Majesty's Civil Service Commissioners: Together with ..., المجلد 3

Great Britain. Civil Service Commission - 1858
...sides of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the...

Parliamentary Papers, المجلد 25

Great Britain. Parliament. House of Commons - 1858
...sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - عدد الصفحات: 12
...line shall be equidistant from the two extremities of the finite line ? 2. 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. State Euclid's corollaries to this proposition....

The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - عدد الصفحات: 324
...side of every triangle is opposite to the greater angle. The 32nd, Book I. 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 equal to two right angles. Reference to Fig. 33 will illustrate the value of the...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - عدد الصفحات: 234
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - عدد الصفحات: 1869
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Hence show that all the exterior angles of any...

The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...make at the point where they cut, are together equal to four right angles. 4. 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. 5. Parallelograms upon equal bases and between...




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