 | Euclid, Thomas Tate - 1849 - 120 pagina’s
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...obtuse angle, by twice the rectangle contained by the Me upon which, when produced, the perpendicular falls, and the straight line intercepted without the... | |
 | 1850 - 488 pagina’s
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...obtuse angle, by twice the rectangle contained by that side upon which when produced, the perpendicular falls, and the straight line intercepted without... | |
 | George Roberts Perkins - 1850 - 332 pagina’s
...the three remainders, and it will be the area. PROPOSITION X. THEOREM. In any obtuse-angled triangle, the square of the side subtending the obtuse angle is greater than the sum of the squares of the other two sides, by twice the rectangle of the base and the distance of the... | |
 | Great Britain. Committee on Education - 1850 - 942 pagina’s
...Parallelograms upon the same base, and between the same parallels, are equal. 3. In an obtuse angled triangle, the square of the side subtending, the obtuse angle is greater than the sum of the squares of the sides containing it by twice the rectangle, contained by the base and the... | |
 | Euclides - 1852 - 152 pagina’s
...perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the sides subtending the obtuse angle is greater than the squares...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse angle ACB, and from the point A let AD be drawn... | |
 | Euclides - 1853 - 146 pagina’s
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle,...triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle, having the obtuse angle ACS; and from the point A let AD be drawn... | |
 | University of Sydney - 1853 - 134 pagina’s
...triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...triangle between the perpendicular and the obtuse angle. 8. The angle at the centre of a circle is double of the angle at the circumference upon the same base.... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...side upon which, when produced, the perpendicular fulls, and the straight line intercepted without the triangle, between the perpendicular and the obtuse... | |
 | Euclid, John Playfair - 1853 - 336 pagina’s
...triangles, if a perpendicular be drawn from any of the acute angles to the opposite side produced, the square of the side subtending the obtuse angle...the rectangle contained by the side upon which, when pwduced, the perpendicular falls, and the straight line intercepted between the perpendicular and the... | |
 | Euclides - 1853 - 176 pagina’s
...to the opposite side produced, the square of the side subtending the obtuse angle is greater tJian the squares of the sides containing the obtuse angle,...side upon which, when produced, the perpendicular jails, and the straiglit line intercepted without the triangle between the perpendicular and 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 of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the... 
