 | Marianne Nops - 1882 - 278 pages
...AB. Wherefore the straight line, &c. — QEF PROPOSITION XII., THEOREM. In obtuse-angled triangles the square on the side subtending the obtuse angle...is greater than the squares on the sides containing it, by twice the rectangle contained by one of those sides and the projection of the other upon it,... | |
 | 1882 - 486 pages
...in an obtuse-angled triangle, the square on the side subtending the obtuse angle exceeds the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of them, and its continuation to meet a perpendicular on it from the opposite angle. 7. If one... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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... | |
 | Humanities - 1883 - 548 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... | |
 | Education - 1884 - 708 pages
...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 pages
...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 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...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... | |
 | 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... | |
 | 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... | |
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... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse... 
