 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
 | Civil service - 366 pages
...of the half and the part produced. PEOP. 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... | |
 | War office - 1861 - 260 pages
...to one another, and the diameter bisects them. 2. 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 - 1861 - 572 pages
...Progression, then b + c, c+a, a + b are in Harmonical Progression. cular be drawn from an acute angle 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 rectangle contained by the side on which,... | |
 | War office - 1861 - 714 pages
...have an angle equal to a given rectilineal angle. 3. 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 - 1862 - 140 pages
...the square on AH. QEF PROPOSITION 12.— THEOKEM. 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,... | |
 | Euclides - 1862 - 172 pages
...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... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...line made up of the half and the part produced. 10. 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 - 1864 - 262 pages
...to the square on A HQBF PROPOSITION XII. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the aide subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle,... | |
 | Euclides - 1864 - 448 pages
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produved, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twive the rectangle contained by the side upon... | |
 | Robert Potts - 1865 - 528 pages
...to the square on AH. QEF PROPOSITION X1L THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...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... | |
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