 ... the side 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...  Annual Report - Page 361868Full view - About this book
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...enunciation of\\.. 12 can be expressed in a more easily remembered form. In obtuse_angled triangles the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it by twice the rectangle contained by either of these sides... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...squares on the sides containing that angle. Use Euc. I. 47 and I. 24. 20. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing that angle. 21. Enunciate and prove the converses of the... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...line may be equal to the square on the part produced. PROPOSITION 12. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute...the opposite side produced, the square on the side opposite the obtuse angle is greater than the sum of the srjuares on tlte other sides, by twice tite... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...line may be equal to the square on the part produced. PROPOSITION 12. In an obtuse-angled triangle, if a perpendicular be drawn from either of the acute...the opposite side produced, the square on the side opposite the obtuse angle is greater than the sum of tJie squares on the other sides, by twice the... | |
 | Education - 1899 - 824 pages
...the problem may have a solution. 3. In obtuse-angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced,...side subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle, bv twice the rectangle contained by the... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...in medial section at A. PROPOSITION 12. THEOREM. In an obtuse.angled triangle, if a perpendicular is drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle, by twice the rectangle contained by the... | |
 | Education - 1900 - 898 pages
...AC, and CN ie drawn perpendicular to AB, show that BC1 = 2AB . BN. 7. G. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either of these sides,... | |
 | 1903 - 898 pages
...quadrilateral formed by joining these points within 1 per cent. Or, 2A. Show that in an obtuse-angled triangle if a perpendicular be drawn from either of the acute...the opposite side produced, the square on the side opposite the obtuse angle is greater than the sum of the squares on the sides forming the obtuse angle... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...triangle, if a perpendicular is drawn from either of the acute angles to the opposite side pivduced, the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle, by ticice the rectangle contained by the... | |
 | University of Sydney - 1906 - 738 pages
...together greater than double the median that bisects the third side. ~>. In an obtuse angled triangle, the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either... | |
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