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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - Liczba stron: 403
...either of the acute angles, is less than the squares on the sides containing that angle, by tvtiet the rectangle contained by either of these sides, and the straight line intere cepted between the acute angle and the perpendicular let fall upon it from the opposite angle,...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877
...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 let fall upon it from the opposite angle. (Prove this for the case...
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Mathematical exercises

Samuel H.. Winter - 1877
...which one angle is obtuse, the square on a side 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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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877
...(15). 28. In any 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 those sides and the straight line intercepted between the perpendicular let fall on it from the opposite...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...the side subtending either of the acute angles, is less than the squares of the sides contain' ing that angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to it from the opposite angle. Let BCD be a triangle (above...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Tom 22

1878
...the side subtending either of the acute angles, is less than the squares of the sides containing tlmt angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. 3. In equal circles, equal...
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Parliamentary Papers, Tom 22

Great Britain. Parliament. House of Commons - 1879
...of the base. 4. In every triangle the square of the side subtending any of the acute angles is lees than the squares of the sides containing that angle...upon it from the opposite angle and the acute angle. 5. If a straight line drawn through the centre of a circle bisect a straight line in it which does...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...triangle, the square on the side subtending any of the acute angles is less than the squares on tlie sides containing that angle, by twice the rectangle...upon it from the opposite angle, and the acute angle. FIG. i. Fio. 2. Let ABC be any A, having the / ABC acute. From A draw AD _ L to BC or BC produced....
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The Civil service manual for 1879 Government appointments and how to obtain them

Edwin T. Olver - 1879
...right angles. 2. 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. I. II. Majorca Iceland...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...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 A, and /. B one of its acute L s,...
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