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" ... subtending the obtuse angle, is greater than the squares of 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... "
The first two books of the Elements of Euclid, with additional figures ... - Σελίδα 109
των Euclides - 1852
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...angles to the opposite side produced, the square of the side subtending the obtuse angle is greatcf than the squares of the sides containing the obtuse...triangle between the perpendicular and the obtuse angle. Prop. XIII. Theor. In every triangle, the square of the side subtending any of the acute angles, is...

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...angles to the opposite side produced, the square of the side subtending the obtuse anule it greatt-i than the squares of the sides containing the obtuse angle, by twice the rectangle contained br the side upon which, when produced, the perpendicular falls, and the straight line intercepted without...

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...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...twice the rectangle contained by the side upon which, vchen produced, the perpendicular Jails, and the straight line intercepted without the triangle between...

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...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...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 * perpendicular...




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