| 1883 - 548 sider
...the sum of the squares on the sides which contain the acute angle ; (e}. In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it ; (/). In an isosceles triangle whose vertical angle... | |
| Euclid, Isaac Todhunter - 1883 - 428 sider
...divided at H, to that the rectangle AB, BH it equal to the square on AH. QEF PROPOSITION 12. THEOREM. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute anglet to the opposite side produced, the square on the side subtending the obtuse angle it greater... | |
| 1884 - 708 sider
...the line between the points of section, is equal to the square on half the line. Prop, s, Bk. H. 3. In obtuse-angled triangles, if a perpendicular be...subtending the obtuse angle is greater than the squares containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced,... | |
| Stewart W. and co - 1884 - 272 sider
...BD ; and FH is the square of AH ; therefore the rectangle AB, BH is equal to the square of AH. . — In obtuse-angled triangles, if a perpendicular be...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... | |
| Woolwich roy. military acad - 1884 - 148 sider
...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 sider
...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...than the squares on the sides containing the obtuse augle by twice the rectangle contained by the side on which, when produced, the perpendicular falls... | |
| 1885 - 630 sider
...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... | |
| Canada. Department of the Interior - 1888 - 756 sider
...squares on half the line and on the line between the points of section. 6. In an obtuse angled triangle the square on the side subtending the obtuse angle is greater than the squares on the other sides by twice the rectangle contained by one ot those sides, and the pai't of it produced, included... | |
| E. J. Brooksmith - 1889 - 356 sider
...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... | |
| George Johnston Allman - 1889 - 266 sider
...the sum of the squares on the sides which contain the acute angle ; (e). In an obtuse-angled triangle the square on the side subtending the obtuse angle is greater than the sum of the squares on the sides containing it ; (/). In an isosceles triangle whose vertical angle... | |
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