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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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...angled triangle, prove that 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. (a.) ABC is a triangle having the angle at C obtuse...
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## A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874
...THEOREM. 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. j Q Let ABC be any triangle, and the angle at B...
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## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle,...
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## Pure mathematics, Tom 1

Edward Atkins - 1874
...contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. Let ABC be any triangle, and the angle at B an acute angle ; and on BC, one of the sides containing it, let fall the perpendicular AD from the...
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## Pure Mathematics, Tom 1

Edward Atkins - 1874
...Theorem. In every triangle, the square on the side subtending an acute angle is less t/ian the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and llw straight line intercepted between the perpendicular let fall on it from the opposite angle and...
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## Euclidian Geometry

Francis Cuthbertson - 1874 - Liczba stron: 349
...the sides containing it by twice the rectangle contained by either of those sides and the part of it intercepted between the perpendicular let fall upon it from the opposite angle and the obtuse angle. (' Let ABC be an obtuse-angled A , having the obtuse LACB, and from B let fall BK j....
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## Report of Her Majesty's Civil Service Commissioners: Together with ..., Tom 20

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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## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - Liczba stron: 119
...Theorem. 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. Let ABC be any triangle, and the angle at B an acuteangle...
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## The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. -, «• r, 1. Simplify...
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## Examination Christmas,1875

...triangle, the square on the aide subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle...sides and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 2. In any circle only two...
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