| Education - 1885
...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,...the rectangle contained by the side upon which, when** produce-!, the perpendicular falls, and the straight line intercepted without the triangle between... | |
| Oxford univ, local exams - 1885
...Describe a square upon a given straight line. 8. In obtuse-angled triangles, if a perpendicular be drawn **from either of the acute angles to the opposite side...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... | |
| Canada. Department of the Interior - 1888
...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 - Mathematics - 1889
...about its diameter will also be a rhombus. 5. In obtuse-angled triangles, if a perpendicular be drawn **from either of the acute angles to the opposite side...angle by twice the rectangle contained by the side** on which, when produced, the perpendicular falls and the straight line intercepted without the triangle,... | |
| George Johnston Allman - Geometry - 1889 - 237 pages
...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... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pages
...is equal to the square on half the line. 2. In obtuse-angled triangles, if a perpendicular be drawn **from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side** on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...enunciation of\\.. 12 can be expressed in a more easily remembered form. In obtuse_angled triangles **the square on the side subtending the obtuse angle is greater than the** sum of the squares on the sides containing it by twice the rectangle contained by either of these sides... | |
| Rupert Deakin - Euclid's Elements - 1891 - 79 pages
...shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular be drawn **from either of the acute angles to the opposite side...angle by twice the rectangle contained by the side** on which, when produced, the perpendicular falls and the straight line intercepted without the triangle... | |
| James Andrew Blaikie, William Thomson - Geometry - 1891
...squares on the sides containing that angle. Use Euc. I. 47 and I. 24. 20. 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 that angle. 21. Enunciate and prove the converses of the... | |
| Queensland. Department of Public Instruction - Education - 1892
...diagonals ol a square are themselves squares. 20 5. In an obtuse-angled triangle, if a perpendicular drawn **from either of the acute angles to the opposite side...angle, by twice the rectangle contained by the side** on which when produced, the perpendicular falls, and the line inter cepted without the triangle, between... | |
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