 | Euclides - 1853 - 334 pagina’s
...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... | |
 | William Somerville Orr - 1854 - 534 pagina’s
...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... | |
 | Thomas Lund - 1854 - 520 pagina’s
...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... | |
 | Robert Potts - 1855 - 1050 pagina’s
...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...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... | |
 | Euclides - 1855 - 270 pagina’s
...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... | |
 | John Playfair - 1855 - 334 pagina’s
...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,... | |
 | Cambridge univ, exam. papers - 1856 - 200 pagina’s
...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...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... | |
 | W F. Richards - 1856 - 198 pagina’s
...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,...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... | |
 | 1856 - 376 pagina’s
...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...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... | |
 | Euclides - 1856 - 168 pagina’s
...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...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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In obtuse-angled 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 greater than the squares of the sides containing the obtuse angle, by twice the... 
