 | William Somerville Orr - Science - 1854 - 534 pages
...to be done. PROPOSITION XII.— THEOEEM. In an obtuse-angled triangle (ABC), if a perpendicular (AD) be drawn from either of the acute angles to the opposite side prolonged, the square of the side (AB) subtending thf ebtuse angle is greater than the squares of the... | |
 | John Playfair - Geometry - 1855 - 334 pages
...the square of AH. PROP. XII. THEOR. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced,...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,... | |
 | Euclides - 1855 - 270 pages
...from it a part equal to their difference, and so on continually. PROP. XIL THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either...the opposite side produced, the square of the side tubtending the obtuse angle, ii greater than the squares of the sides containing the obtuse angle,... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...part, is equal to the square of the straight line, which is made up of the whole line and that part. In obtuse angled triangles, if a perpendicular be...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
...another, and the diameter bisects them, that is, divides them into two equal parts. 3. In obtuse-angled triangles if a perpendicular be drawn from either...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... | |
 | 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 produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse... | |
 | War office - 1861 - 260 pages
...angles of parallelograms are equal to one another, and the diameter bisects them. 2. In obtuse-angled triangles, if a perpendicular be drawn from either...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... | |
 | War office - 1861 - 714 pages
...interest of 3£ per cent, yearly? 10. Extract the square root of -0006780816. EUCLID. 2. In obtuse-angled triangles if a perpendicular be drawn from either...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... | |
 | Euclides - 1862 - 140 pages
...the rectangle AB . BH, is equal to the square on AH. QEF PROPOSITION 12.— THEOKEM. In obtuse-angled triangles, if a perpendicular be drawn from either...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... | |
 | Euclides - 1862 - 172 pages
...the rectangle AB, BH, is equal to the square of AH. Q. R F. PROP. XII — THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either...of the acute angles to the opposite side produced; then the square of the side subtending the obtuse angle is greater than the squares of the sides containing... | |
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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... 
