| Woolwich roy. military acad - 1884 - 148 pages
...that the sum of the triangles APB, PCD is half the parallelogram. 5. In an obtuse-angled triangle, **if a perpendicular be drawn from either of the acute angles to the opposite side produced,** prove that the square of the side subtending the obtuse angle is greater than the squares of the sides... | |
| Oxford univ, local exams - 1885 - 358 pages
...square on the line between the points of section. 7. Describe a square upon a given straight line. 8. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| Education - 1885 - 630 pages
...between the points of section, is equal to the square on half the line. Euclid, Bk. II., Prop. 5. 2. In **obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite** sideproduced, the square on the side subtending the obtuse angle, is greater than the squares on the... | |
| E. J. Brooksmith - Mathematics - 1889 - 354 pages
...parts, is invariable, in whatever way the line may be so divided. 5. In an obtuse-angled triangle, **if a perpendicular be drawn from either of the acute angles to the opposite side produced,** prove that the square of the side subtending the obtuse angle is greater than the squares of the sides... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...angles. Enunciate and prove a similar theorem as regards the figure of Ex. 208. PROPOSITION 12. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...the square on the line between the points of section, is equal to the square on half the line. 2. In **obtuse-angled triangles if a perpendicular be drawn...of the acute angles to the opposite side produced,** prove that the square on the side subtending the obtuse angle is greater than the squares on the sides... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...section, is equal to the square on half the line. 8. In obtuse-angled triangles, if a perpendicular be 9 **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... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...the rectangle contained by the whole and one part shall be equal to the square on the other. 12. In **obtuse-angled triangles, if a perpendicular be drawn...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... | |
| Euclid - Geometry - 1892 - 460 pages
...in medial section at A. PROPOSITION 12. THEOREM. In an obtuse.angled 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... | |
| |