 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...triangle, if a perpendicular is 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 sum of the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced,... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...projection of the other upon it. § 321. (4) In an obtuse-angled triangle the square on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the product of either of these sides and the projection of the other upon... | |
 | 1903 - 896 pages
...drawn from either of the acute angles to 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 by twice the rectangle contained by the side on which, when produced,... | |
 | 1903 - 188 pages
...triangle, if a perpendicular is 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 a certain rectangle. (ft) Shew that, if... | |
 | James McMahon - Geometry, Plane - 1903 - 380 pages
...in an obtuse triangle. 62. THEOREM 21. In an obtuse-angled triangle the square on the side opposite 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 and the projection of the... | |
 | 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 side on which, when produced,... | |
 | 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 of the sides containing... | |
 | Lawrence Robert Dicksee - Accounting - 1907 - 128 pages
...the algebraic identity (a + 6)2 = a"+ 2a& + b*. Q. 7. — Prove that in any 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 one of those sides and the projection... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...cutting a given straight line in extreme and mean ratio. PROPOSITION 12. In obtuse-angled triangles 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 one of the sides... | |
 | Trinity College (Dublin, Ireland) - 1909 - 546 pages
...line joining their centres. 6. Prove that in an obtuse-angled triangle the square of the side opposite the obtuse angle is greater than the sum of the squares on the other sides by twice the rectangle under one side and the projection on it of the other side. 7. Prove... | |
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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... 
