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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) cyclopædia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846
...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. A Y str. line BD is divided into 2 parts in pt. C, BD« = BC 8 +CD 8 + 2. BC. CD, Prop. ta. add to...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846
...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. A V str. line BD is divided into 2 parts in pt. C, BD8 = BC a +CD8+2. BC. CD, Prop.«. add to each...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 317 pages
...subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, 6y twice the rectangle contained by the side upon which,...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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The Mechanic's Magazine, Museum, Register, Journal and Gazette, Volume 38

1843
...by (12 Prop. 2 Book Eu.) It is.— " The square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by one of the sides about the obtuse angle, and the line intercepted without by a perpendicular to it...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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...the perpendicular and the obtuse angle. PROP. XIII. THEOREM. In every triangle, the square of the side subtending any of the acute angles, is less than...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848
...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. Section 4. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 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 angle, by twice the rectangle contained by the Me upon which, when produced, the perpendicular falls, and the straight line intercepted without the...
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The English Journal of Education, Volume 4

Education - 1850
...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 rectangle contained by that side upon which when produced, the perpendicular falls, and the straight line intercepted without...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...angles to the opposite side produced, the square of the sides 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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