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" In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Strona 62
autor: John Playfair - 1819 - Liczba stron: 333
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...proved. 5. In any triangle the square on the side subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Elementary Geometry: Plane

James McMahon - 1903 - Liczba stron: 358
...on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either of these sides and the projection of the other upon it. Let the triangle ABC have the angle C obtuse, and let CD be the projection...
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A Text-book of Euclid's Elements for the Use of Schools, Księga 1

Euclid - 1904 - Liczba stron: 456
...every triangle, the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. O Fig. I. B Fig. 2. Let ABC be any triangle having...
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Annual Report of the Commissioners ..., Tom 72

1906
...less than the squares on the sides containing that angle by twice the rectangle contained by cither of these sides, and the straight line intercepted...upon it from the opposite angle and the acute angle. SECTION B. 5. Through a given point within a given angle draw a straight line cutting the legs of the...
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - 1910 - Liczba stron: 302
...the obtuse angle equals the sum of the squares on the sides that contain the obtuse angle increased by twice the rectangle contained by either of these sides and the projection on that side of the other. Hypothesis. — ABC is a A in which LC is obtuse, and CD is the...
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The London University Calendar

London univ - 1874
...square of the hypothcnuse. (>. In any triangle the square of the side subtending an acute angle is less than the squares of the sides containing that...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 7. If two chords of a circle...
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Parliamentary Papers, Tom 22

Great Britain. Parliament. House of Commons - 1876
...3. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. — To be proved for acute-angled triangles only....
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Parliamentary Papers, Tom 23

Great Britain. Parliament. House of Commons - 1872
...-4342945. 1. In any triangle, the square of the side subtending an acute angle is less than the sum of the squares of the sides containing that angle, by...rectangle contained by either of these sides and the line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle....
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1851
...a right angle. 4. In every triangle the square of the side subtending cither of the acute angles is less than the squares of the sides containing that...angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall...
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Parliamentary Papers, Tom 27

Great Britain. Parliament. House of Commons - 1878
...the side subtending either of the acute angles, is less than the squares of the sides containing (hat angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. In equal circles, equal...
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