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" In every 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 contained by either of these sides, and the straight line intercepted between the perpendicular... "
A Supplement to the Elements of Euclid - Side 104
av Daniel Cresswell - 1819 - 410 sider
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...by the parts. II. 12 to 14. 144. The square on the base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on it from the opposite angle and the extremity of the base. 145. In any triangle the sum of the squares...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 sider
...by the parts. II. 12 to 14. 144. The square on tho base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on it from tho opposite angle and the extremity of the base. 145. In any triangle the sum of the squares...
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Annual Report

1868
...of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular...(let fall upon it from the opposite angle) and the acute angle 25 •J. From two given points on the same side of a given line, draw two lines which shall...
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Elements of geometry, containing the first two (third and fourth ..., Del 1

Euclides - 1871
...square! on the sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 2. Let ABC be any A , having the L ABC acute. From A draw AD J. to BC or...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 sider
...squares on the sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. Fig. 1. Fig. 2. Let ABC be any A , having the / ABC acute. From A draw AD JL to BC or...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 349 sider
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...squares on the sides containing that angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. Construct a square that shall be equal to the difference between the sum of the squares...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...the parts. '«. ^II. 12 to 14. 144. The square on the base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on it from the opposite angle and the extremity of the base. 145. In any triangle the sum of the squares...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882
...squares on the sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular,...let fall upon it from the opposite angle, and the acute angle. In any quadrilateral the squares on the diagonals together equal twice the sum of the...
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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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