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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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The London University Calendar

London univ - 1852
...angle. 4. In every acute-angled triangle the square of the side subtending either of the acute angles is less than the squares of the sides containing that...contained by either of these sides, and the straight line in- _ tercepted between the acute angle and the perpendicular let fall upon it from the opposite angle....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...PROPOSITION XIII. THEOR. In every triangle, the square of the side subtending any nj the acute angles is less than the squares of the sides containing that...from the opposite angle and the acute angle. Let ABC beany triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Księga 1

Euclides - 1853
...the side subtending either of the acute angles is less than the squares of 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, front the opposite angular...
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The American House Carpenters' and Joiners' Assistant: Being a New and Easy ...

Lucius D. Gould - 1853 - Liczba stron: 136
...find the area of an acute angled triangle. Rule. — Multiply the length of the longest side by half the perpendicular let fall upon it from the opposite angle, and the product will be the area. Having the base and perpendicular of a right angled triangle, to find the...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...than the squares of the sides (С В, В A) containing that angle, by twice the rectangle (C BB D) contained by either of these sides, and the straight line intercepted between the perpendicular (AD) and the acute angle (B) : that is, A C2 = С В2 + В A3— twice С BB D. First, let AD fall...
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Elements of geometry and mensuration

Thomas Lund - 1854 - Liczba stron: 192
...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
...by the parts. 6. In every triangle, the square of the side subtending either of the acute angles, 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 a point be taken...
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National Society's Monthly Paper

1855
...by the parts. 6. In every 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
...parallels. 4. 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 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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...XIII. THEOREM, '•j every triangle, the square of the side subtending either of the acute anglei, it less than the squares of the sides containing that angle, by twice the reel. angle contained by either of these sides, and the straight Une intercepted between the acute...
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