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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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Papers for the schoolmaster, Volume 4

1868
...opposite side prsrtuced, the square on the side subtending the obtuse angle is greater than the sqnares on the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, wlieu produced, the perpendicular falls, aud the atiaight line intercepted between the foot of the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870
...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 augle. 3. II. If a st. line be divided into any two parts, the rectangle contained by the whole and...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the...triangle between the perpendicular and the obtuse angle. li OV Let ABC be an obtuse-angled A , having L ACB obtuse. From A draw AD x to BC produced. Then must...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by ttcice the rectangle contained by the side, upon which, when...triangle between the perpendicular and the obtuse angle. a Let ABC be an obtuse.angled A , having L ACB obtuse. From A draw AD x to BC produced. T/ien must...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter MASON - Geometry - 1872
...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 the distance between a perpendicular drawn to that side produced from the opposite...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873
...angles to the opposite side produced, the square of the side sub' tending the obtuse angle, is greater than the squares of the sides containing the obtuse angle, by twice the rectangle contained by the aide upon which, when produced, the perpendicular falls, and the straight line intercepted without...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...opposite side produced, the square on the side subtending the obtuse angle, is greater than the squares on the sides containing the obtuse angle, by twice the...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...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the staight line intercepted without the triangle,...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...side produced, tlie square o?i the side subtending the obtuse angle is greater than t/iA squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without the triangle,...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side on which, when produced, the perpendicular falls, and the straight line intercepted without th« triangle, between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled triangle,...
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