 | Education - 1885 - 630 pages
...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 - 358 pages
...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 - 756 pages
...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 - 356 pages
...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 - 266 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... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 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 - 538 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 - 102 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 - 154 pages
...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 - 508 pages
...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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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... 
