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الكتب الكتب 21 - 30 من 192 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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Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - عدد الصفحات: 186
...triangle the square of the side subtending an acute angle is less than the sum of the squares of the two sides containing that angle, by twice the rectangle contained by either of those sides and the distance between the acute angle and the perpendicular drawn from the opposite...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - عدد الصفحات: 272
...triangle, the square of the side which is opposite to a given angle is greater or less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and that part of it which is intercepted between the perpendicular, let fall upon it from the opposite...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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...of these sides, and the straight line intercepted bi-twecn the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - 1835 - عدد الصفحات: 513
...triangle, the square of the side subtending any of the acute angles, is less than the squares of t 'fie sides containing that angle by twice the rectangle...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 • 12. 1. fall the perpendicular*...
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...the square of the side which is opposite to any given angle, is greater or less than the squares of the sides containing that angle, by twice the rectangle, contained by either of these sides, and that part of it, which is intercepted between the perpendicular let fall upon it from the opposite...
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The Element of Geometry

John Playfair - 1836 - عدد الصفحات: 114
...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...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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - عدد الصفحات: 472
...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...sides, and the straight line intercepted between the perperdicular, let fall upon it from the opposite angle, and the acute angle. A. If one side of a triangle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - عدد الصفحات: 471
...triangle, the square of the side sub- . tending 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 tides, and the straight line intercepted between the perpendicular, let fall upon it from the opposite...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 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...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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837
...every triangle, the square of the side -btending any 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. Fig. 1. Fig. 3. Steps of the Demonstration to Case 1st. (in which AD falls within the A.) 1. Prove...
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