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" In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the... "
Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ... - Σελίδα 96
των Euclides - 1864
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. 10. To describe a square that shall be equal to a given rectilineal figure. 11. Define a rectilineal...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. 6. Show how to draw a straight line from a given point, either without or in the circumference, which...

Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - 1880 - 178 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

Report of Her Majesty's Civil Service Commissioners, Together with ..., Τόμος 24

Great Britain. Civil Service Commission - 1880 - 670 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 σελίδες
...sides containing the acute angle. 127. The square on the side subtending an obtuse angle of a triangle is greater than the squares on the sides containing the obtuse angle. 128. If the square on one side of a triangle be less than the squares on the other two sides, the angle...

The Oxford examiner, ed. by M.W.I. Shilleto, Τεύχη 1-5

Mary W I. Shilleto - 1882 - 418 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. The base BC of an isosceles triangle ABC is produced to a point D ; AD is joined, and in AI) a point...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. If the triangle be isosceles, the square on the side subtending the obtuse angle is equal to twice...

Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares...angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...

The Competitor, Τόμοι 3-4

1883 - 248 σελίδες
...opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle by twice the...produced, the perpendicular falls, and the straight lino intercepted without the triangle between the perpendicular and the obtuse angle. In any triangle...




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