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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... "
The Element of Geometry - Side 29
av John Playfair - 1836 - 114 sider
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Bok 1

Euclides - 1853
...divided in K, as was required. Which was to be done. PEOP. XII. THEOE. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the squares of the sides including the obtuse angle, by twice the rectangle contained by either of those sides, and the straight...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...of the side (AB) subtending thf ebtuse angle is greater than the squares of the sides (В С, С А) containing the obtuse angle, by twice the rectangle contained by the side upon which, when prolonged, the perpendicular falls, and the line, without the triangle, between the perpendicular and...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 sider
...perpendicular be drawn from the vertex of either of the acute angles upon the opposite side produced, the square of the side subtending the obtuse angle is greater than the sum of the squares of the sides forming the obtuse angle by twice the rectangle contained by the side...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...triangle, between the perpendicular and the obtuse angle. ABC is a triangle having a right angle at A. From B and C draw lines bisecting AC, AB, and meeting...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...acute angles to the opposite side produced, the square of the side tubtending the obtuse angle, ii greater than the squares of the sides containing the...angle, by twice the rectangle contained by the side to which, when produced, the perpendicular is drau-n, and the straight line intercepted between the...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...triangles, if a 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, of the sides contammg the obtuse angle, by twice the rectangle contained by the side upon which, when produced,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...triangles if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...triangle between the perpendicular and the obtuse angle. 8. If in a circle two straight lines cut one another which do not both pass through the centre, they...
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National Society's Monthly Paper

1856
...triangles if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...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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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 sider
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle, is...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. iDraw a straight...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle is...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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