 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 Calendar - Page 72by University of South Africa - 1913Full view - About this book
 | 1880 - 160 pages
...part, together with the square on the other part. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Great Britain. Civil Service Commission - 1880 - 670 pages
...equal to the rectangle contained by OB and ОС. 6. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...together equal to the squares of the four sides. 4. 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... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...paper, but to make use of the whole set. («) 1. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side, upon... | |
 | Education Ministry of - 1882 - 300 pages
...except when the line is bisected. SECTION IV. 1. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Marianne Nops - 1882 - 278 pages
...AB. Wherefore the straight line, &c. — QEF PROPOSITION XII., THEOREM. In obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the squares on the sides containing it, by twice the rectangle contained by one of those sides and the... | |
 | Moffatt and Paige - 1883 - 602 pages
...the square on A H. QEF Proposition XII. Theorem. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle by twice the rectangle contained by the side upon... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute anglet to the opposite side produced, the square on the side subtending the obtuse angle it greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained... | |
 | University of Cambridge - 1884 - 624 pages
...its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which,... | |
 | Education - 1884 - 708 pages
...to the square on half the line. Prop, s, Bk. H. 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...side subtending the obtuse angle is greater than the squares containing the obtuse angle, by twice the rectangle contained by the side upon which, when... | |
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