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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... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 54
por Euclid - 1835 - 513 páginas
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 páginas
...square of the side opposite to any acute angle is less than the sum of the squares of the aides forming that angle by twice the rectangle contained by either of these sides and that part of it nhich is intercepted between a perpendicular let fall upon it from the vertex of the...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...triangle, the square of the side subtending either of the acute angles, is less than the squares of 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. 7. If a point be taken...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 336 páginas
...containing that angle, by twice the rectangle contained by cither of these sides, and the straight hne intercepted between the perpendicular, let fall upon it from the opposite angle, and the acutt angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...intercepted between the acute angle and the perpendicular drawn to it from the opposite angle, Let ABС be any triangle, and the angle at B one of its acute angles ; and to B С, one of the sides containing it, draw the perpendicular AD from the opposite angle at A (I....
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National Society's Monthly Paper

1855
...triangle, the square of the side suhtending either of the acute angles is less than the squares of the sides containing that angle by twice the rectangle contained by either of these'sides, and the straight line intercepted between the acute angle, and the perpendicular let fall...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...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 twice the rectangle contained by either of them and the segment between the acute angle anil, the perpendicular let fall from the opposite angle....
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...triangle, the square of the side subtending any of the acute angles is less than the squares of the sides containing that angle by twice the rectangle...angle and the acute angle. Let ABC be any triangle (Figs. 43, 42) and the angle at B one of its acute angles ; AD the perpendicular on BC (produced if...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 318 páginas
...triangle the square of the side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle...let fall upon it from the opposite angle, and the acuteangle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...subtending either of the acute angles is less than the sum of the squares on the sides including this angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, from the opposite angular...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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 those sides and the straight line intercepted between the perpendicular let fall upon it from the opposite...
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