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الكتب الكتب 71 - 80 من 191 فيIn every triangle, the square of the side subtending either of the acute angles is....
" 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 these sides, and the straight line intercepted between the perpendicular... "
Elements of geometry: consisting of the first four,and the sixth, books of ... - الصفحة 55
بواسطة Euclides - 1842
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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...angle and the acute angle. Let ABC be any triangle (Figs. 43, 42) and the angle at B one of its acute angles ; AD the perpendicular on BC (produced if...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - عدد الصفحات: 318
...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...let fall upon it from the opposite angle, and the acuteangle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...subtending either of the acute angles is less than the sum of the squares on 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, from the opposite angular...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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 perpendicular let fall upon it from the opposite...
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The Calendar of King's College, London

King's College (University of London) - 1857
...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...upon it from the opposite angle, and the acute angle. of the hexagonal figure thus formed, is equal to four times the sum of the squares of the sides of...
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The American House Carpenters' and Joiners' Assistant

Lucius D. Gould - 1857
...find the area of a¿ acute ang'ed ti'iangle. .RuZe.—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 baee and pe¿pendiouZar of a ¿ig1¿t angled triangle, to find...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of...upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7- II. If a at. line be divided into any two parts, the squares of...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - عدد الصفحات: 324
...angle. In every triangle the square of the side subtending an acute angle is less than the squares of 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. If four straight lines...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - عدد الصفحات: 1869
...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 acute angle and the perpendicular let fall...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1860 - عدد الصفحات: 317
...subtending any of the acute angles, is less than the squares of the sides containing that angle, by turice the rectangle contained by either of these sides,...acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides containing it, let fall the perpendicular...
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