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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 school Euclid: comprising the first four books, by A.K. Isbister - Σελίδα 35
των Euclides - 1862
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Great Britain. Parliament. House of Commons - 1858 - 690 σελίδες
...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 interior and...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PROP. XLIV. — To a given straight...

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W. Davis Haskoll - 1858 - 324 σελίδες
...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 interior and...and the three interior angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the above in triangular...

Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 σελίδες
...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 produced uo D ; then...

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

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...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...every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure made by producing the sides successively...

Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...than the third side. Madras ^e difference of any two sides is always less than the third side. " 4. The three interior angles of every triangle are together equal to two right angles. How many degrees are there in an angle of a regular octagon? 5. In any right angled triangle, tire...

A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 494 σελίδες
...produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. 9 & 10. Em. H. 1 & 2.) THEOREM V. Parallelograms standing on the same base, and...

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

Royal college of surgeons of England - 1860
...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 interior and...every triangle are together equal to two right angles. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a...

A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 σελίδες
...triangle, but shall contain a greater angle. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line...

Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...triangle, but shall contain a greater angle. 3. PROP. XXXII. — If a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight...

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

Robert Potts - 1860 - 361 σελίδες
...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 interior and...every triangle are together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to D. Then the exterior angle A CD shall...




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