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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 Competitor, Tomy 1-2

1882
...prove that 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 contained by either of these sides, and the intercept between the acute angle and the fcot of tha perpendicular let fall from the opposite angle....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...every triangle the square on tho side subtending either of the acute angles is less than tho squares on the sides containing that angle by twice the rectangle contained by either of these sides and tho straight line intercepted between tho acute angle and the perpendicular let fall upon it from tho...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...squares of the sides containing that angle, by t( the rectangle contained by either of those si e , and the straight line intercepted between the perpendicular let fall upon it from the opposifr angle, and the acute angle. 4. Describe a parallelogram that shall be to a given triangle,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - Liczba stron: 400
...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...
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The Practical Teacher; with which is Incorporated the Practical ..., Tom 2

Joseph Hughes - 1883
...processes ? In every triangle the square on the side subtending an acule angle is lesi than the squares on the sides containing that angle by twice the rectangle contained by either of these sides, and Hie straight line intercepted between the perpendicular let lall on it from the opposite angle and...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - Liczba stron: 96
...any triangle the square on a side opposite to an acute angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of them and the projection of the other upon it. DC DBC Let AB be opposite the acute L ACB. Draw AD JL...
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The Practical Teacher, Tom 2

1883
...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 oí these sides, and the straight line intercepted between the acute angle and the perpendicular let...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...CD. ~KIII. — 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. Let ABC be any triangle,...
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Cambridge University Examination Papers

University of Cambridge - 1884
...5. 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 from the opposite angle and the acute angle. Prove this proposition only in the case of an acute-angled...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1884
...one another. 3. In every 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 contained by either of those sides, and the straight line intercepted between the perpendicular let fall upon it from the...
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