 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
 | Euclides - 1856 - 168 pages
...twice the squares of AC, C D. LV.— EUCLID II. 12. 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... | |
 | Euclides - 1858 - 248 pages
...than either of the int. and opposite angles. 12. II. 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... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...of the half and the part produced. 8. PROP. XII. 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... | |
 | 1858 - 398 pages
...of the half and the part produced. 8. PUOP. XII. 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... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, tho square of the side subtending the obtuse angle is greater than GEOMETRICAL MEMORANDA. — PERPEls-DICULARS.... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...described upon the sides which contain the right angle. 2. 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...square on AH. QEF • PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawtt from either of the acute angles to the opposite side...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... | |
 | Euclides - 1860 - 288 pages
...section. PROPOSITION XII. THEOREM. 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 squares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...the half and the part produced. 8. PROP. XII. — 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... | |
 | John Paxton Hall - 1860 - 186 pages
...of the half and the part produced. PROP. XII. — 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... | |
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