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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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...in E. Join EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. 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 riffht angles. Let ABC be a triangle, and let one of its sides BC be...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...to the given straight line BC. Which was to be done. PROP. 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 equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - 1853
...the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior angle is equal to the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one...

National Society's Monthly Paper

1855
...given straight line of an unlimited length, from u given point without it. 3. 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. Equal triangles upon the same hase and upon...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...Any two sides of a triangle are together greater than the third side. 4. 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. If two sides of any triangle be produced, the two exterior...

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - عدد الصفحات: 184
...show that these two triangles are not necessarily equal to one another. 4. 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. 5. If a straight line be divided into any two...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three angles of every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and...

Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - 1856 - عدد الصفحات: 216
...any two points, F, E, on the one of the lines, are equdistant from the other line. TIIEOREM 27. 79. In any triangle, if one of the sides be produced, the exterior angle is equal to both the interior and opposite angles ; and the three interior angles are equal to two right angles....

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - عدد الصفحات: 318
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle oe produced, the exterior angle is equal to the two interior and opposite angles ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and...




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