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" ... subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle... "
The first two books of the Elements of Euclid, with additional figures ... - Σελίδα 109
των Euclides - 1852
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National Society's Monthly Paper

1856 - 376 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. 7. Equal straight lines in a circle will all lie at equal distances from the centre. 8. Draw a straight...

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

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. 10. If two circles cut one another, they shall not have the same centre. 11. Equal straight lines in...

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

Euclides - 1856 - 168 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Let ABC (Fig. 42) be a triangle having the obtuse angle...

general Report on Public Instruction in the lower Provinces of the Bengal ...

JOHN GRAY - 1857 - 784 σελίδες
...sides of a triangle are together greater than the third side. the squares of the sides containing it by twice the rectangle contained by the side upon...perpendicular falls, and the straight line intercepted with the triangle between the perpendicular and the obtuse angle. 3. A straight line is drawn from...

Parliamentary Papers, Τόμος 25

Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that...

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

1858 - 398 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. 9. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that...

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

W. Davis Haskoll - 1858 - 422 σελίδες
...the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS. 45 the squares of the sides containing the obtuse angle,...triangle between the perpendicular and the obtuse angle. In every triangle the square of the side subtending an acute angle is less than the squares of the...

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

Euclides - 1858 - 248 σελίδες
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares...which when produced the perpendicular falls, and the st. line intercepted without the triangle between the perpendicular and the obtuse angle. CONS. —...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 2

Euclides - 1858 - 136 σελίδες
...perpendicular It drawn from cither of tlte acute ¿s to the opposite sidt produced, the square of the fide subtending the obtuse angle is greater than the squares of the sides containing the rib'use angle by tiriee the rect. contained by the side upon which when produced the perp. falh, and...

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

Sandhurst roy. military coll - 1859 - 672 σελίδες
...perpendicular be drawn from either of the acute nngles to the opposite side produced, the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angles by twice the rectangle contained by the side upon which, when produced, the perpendicular falls,...




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