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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... "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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National Society's Monthly Paper

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

Cambridge univ, exam. papers - 1856
...angles 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...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...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...angles 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...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...
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general Report on Public Instruction in the lower Provinces of the Bengal ...

JOHN GRAY - 1857
...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...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858
...angles 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...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...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858
...angles 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...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...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 324 pages
...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...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...angles 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...which when produced the perpendicular falls, and the st. line intercepted without the triangle between the perpendicular and the obtuse angle. CONS. —...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...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 rectangle contained by the side on which when produced the perpendicular falls, and the straight line intercepted without the triangle...
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Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...angles 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...triangle between the perpendicular and the obtuse angle. In any isosceles triangle ABC, if AD be drawn from the vertex to any point in the base, show that the...
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