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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... "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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The Element of Geometry

John Playfair - Geometry - 1836 - 114 pages
...angles to the opposite side produced, tht square of the side subtending the obtuse angle, is greater than the squares of the sides containing the obtuse...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...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...perpendicular falls, and the straight line intercepted between the perpendieu lar and the obtuse angle. XIII. In every triangle the square of the side subtending...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 471 pages
...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...twice the rectangle contained by the side upon which, tchen produced, the perpendicular falls, and the straight line intercepted between the perpendicular...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - Geometry - 1837 - 215 pages
...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...triangle, between the perpendicular and the obtuse angle. Obs. — While it is, of course, not to be expected, that the pupils can express the result of a demonstration...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 88 pages
...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...triangle, between the perpendicular and the obtuse angle. Obs. This proposition is so short, and each step so necessary to the proof, that to attempt to simplify...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...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...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 318 pages
...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...perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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...triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse angled triangle, having the obtuse ,12 1 angle ACB, and from the point A let AD...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - Geometry - 1838 - 416 pages
...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...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...
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The Elements of Euclid

Euclid - Geometry - 1838 - 416 pages
...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...twice the rectangle contained by the side upon which, wnen produced, the perpendicular falls, and the straight line intercepted without the triangle between...
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