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الكتب الكتب 21 - 30 من 192 فيIn every triangle, the square on the side subtending either of the acute angles,....
" 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... "
The Elements of Euclid: viz. the first six books, together with the eleventh ... - الصفحة 52
بواسطة Euclid, Robert Simson - 1835 - عدد الصفحات: 513
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Lessons on form; or, Introduction to geometry as given in a Pestalozzian ...

Charles Reiner - 1837
...the side subtending any of the acute angles is less than the squares of the sides containing the same angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular, drawn to it from the opposite angle, and the acute angle. SUBSTANCE OF SECTION VII. 1. Squares are...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...subtending either of the acute angles, is less than the squares of the sides containing that angle, ly twice the rectangle contained by either of these sides,...and the angle at B one of its acute angles, and upon I3C, one of the sides containing it, ,j2 1 let fall the perpendicular* AD from the opposite angle:...
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The Elements of Euclid

Euclid - 1838 - عدد الصفحات: 416
...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...from the opposite angle and the acute angle.* Let BBC be any triangle, and the angle at B one of its acute angles, and upon BC one of the sides containing...
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The Elements of Euclid

Euclid - 1838 - عدد الصفحات: 416
...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...from the opposite angle and the acute angle.* Let BBC be any triangle, and the angle at B one of its acute angles, and upon BC one of the sides containing...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...triangle, the square of a side subtending an acute angle is less than the sum of the squares of the sides containing that angle, by twice the rectangle contained by either of those sides and the part of it intercepted between the perpendicular let fall on it from the opposite...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...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 let fall upon it from the opposite angle. Let ABC be any triangle,...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...by twice the rectangle вc, CD. Therefore, in obtuseangled triangles, &c. QED PROP. XIII. THEOR. the sides containing that angle, by twice the rectangle...acute angle. Let ABC be any triangle, and the angle at в one of its acute angles, and upon в c, one of the sides containing it, let fall the perpendicular...
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Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - 1844 - عدد الصفحات: 237
...subtending either of the acute angles, is less than the sum of the squares of the other two sides, by twice the rectangle contained by either of these...upon it from the opposite angle, and the acute angle. PROPOSITION XIII. THEOREM. In a triangle ABC, if the angle C is obtuse, the square of the opposite...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - عدد الصفحات: 317
...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...sides, and the straight line intercepted between the perpendicular,let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...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...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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