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 29av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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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