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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 figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...In an obtuse-angled triangle, the square of the side subtending the obtuse angle exceeds the sum of the squares of the sides containing the obtuse angle, by twice the rectangle contained by either of those sides and the produced part of it intercepted between the perpendicular let fall on...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 351 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. obtuse angle ACB, and from the point A let AD be drawn* perpendicular to BC produced: the square of*...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle, by twiee the rectangle contained by the side upon which, when...perpendicular falls, and the straight line intercepted on the exterior of the triangle between the perpendicular and the obtuse angle. Let ABC be an obtuse-angled...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 38

Perry Fairfax Nursey - Industrial arts - 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 British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 1844
...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. 8. If two circles cut one another, they shall not have...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 317 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 side uponwhich, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...we find AB2=BC'+AC'+'^BCxCD). Hence, of the other two sides by twice the rectangle contained by that side upon which, when produced, the perpendicular falls, and the straight line intercepted between the perpendicular and the obtuse angle. Scholium. The right-angled triangle is the only one...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 199 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 •12.1....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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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