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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 13
των Euclides - 1853 - 147 σελίδες
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## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...angle in the other. Ax. 1. Magnitudes which are equal to the same, are equal to each other. P. 16. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. EXP. Hyp. 1. „ 2. Concl. 1. „ 2. In As ABC, DBF, let L ABC = L DBF, and L ACB = L DFE; also let...

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

War office - 1858 - 12 σελίδες
...are there in 316 ? Find by logarithms — (1) (3-1416)4 (2) 3-1416 X -045 2-856 «. " Euclid. 1 If a side of a triangle be produced the exterior angle is greater than either of the interior and opposite angles. 2. Define a square. Describe a square on a given straight line. What is Euclid's...

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

Sandhurst roy. military coll - 1859 - 1869 σελίδες
...interest upon 166Z. 13s. in 3 years, at 4£ per cent. 10. Extract the square root of '03456. EUCLID. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. If a straight line be divided into any two parts, the rectangles contained by the whole and each...

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

Robert Potts - 1860 - 361 σελίδες
...QED COB. 1. From this it is manifest, that, if two straight lines cut each other, the angles which they make at the point where they cut, are together...greater than either of the interior opposite angles. Let ABC lie a triangle, and let the side BCbe produced to D. Then the exterior angle A CD shall be greater...

## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...their intersection, are together equal to four right angles. COR. 2. — And hence, all the consecutive angles made by any number of lines meeting in one...greater than either of the interior opposite angles. Given a triangle ABC, and its side BC produced to D, to prove that the exterior angle ACD is greater...

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

...base equal to one another, and also those terminated in the other extremity — (first case only). 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 4. Any two bides of a triangle are greater than the third. Show that the difference of any two sides...

## Lectures Delivered Before the Young Men's Christian Association ..., Τόμος 15

...problems, and thus advanced gradually as far as the 32nd proposition of Euclid, which runs thus :—" If one side of a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle...

## Guide to the Army Competitive Examinations: being a Compendium of practical ...

Alexander Hadden Hutchinson - 1861 - 100 σελίδες
...10s for 4 months at 4 per cent, per annum. 10. Extract the square root of '191810713444. Euclid. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given...

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

War office - 1861 - 12 σελίδες
...decimal of 51. 10. Find (-05)3. Extract the square root of 17 to three decimal places. EUCLID. 1. If a side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given triangle, and having one of its angles equal to a right...

## Responsions

University of Oxford - 1863
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three given straight lines, of which any two whatever...