 | 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... | |
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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... 
