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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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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884
...taken. 2. In any triangle, the square on the sides 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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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...acute-angled triangles, the square on the side subtending an acute angle, in 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. If A be the vertex of an acute-angled isosceles...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...7. 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. 8. On a given straight line describe a segment...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886
...27. 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. Prove this in the case when the perpendicular falls...
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Annual Report

Canada. Department of the Interior - 1888
...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 lot fall upon it from the opposite angle. 6. Find the centre of a...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...parts. 4. 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. If D be the middle point of the base BC of a triangle...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - Liczba stron: 515
...form. 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 contained by either of these sides and the projection of the other upon it. PROPOSITION 14. To describe a square that shall be equal to a given...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - Liczba stron: 132
...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 acute angle and the perpendicular let fall...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - Liczba stron: 79
...13. 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. 14. To describe a square that shall be equal to...
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Yale Examination Papers

Yale University - 1892 - Liczba stron: 139
...2. 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. 3. The opposite sides of a parallelogram are equal...
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