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" 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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Elementary Geometry: Plane

James McMahon - 1903 - عدد الصفحات: 380
...on the side opposite the obtuse angle is greater than the sum of the squares on the other two sides by twice the rectangle contained by either of these sides and the projection of the other upon it. Let the triangle ABC have the angle C obtuse, and let CD be the projection...

A Text-book of Euclid's Elements for the Use of Schools, كتاب 1

Euclid - 1904 - عدد الصفحات: 488
...every triangle, the square on the side subtending an acute angle is less than the sum of 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. O Fig. I. B Fig. 2. Let ABC be any triangle having...

Annual Report of the Commissioners ..., المجلد 72

1906 - عدد الصفحات: 818
...less than the squares on the sides containing that angle by twice the rectangle contained by cither of these sides, and the straight line intercepted...upon it from the opposite angle and the acute angle. SECTION B. 5. Through a given point within a given angle draw a straight line cutting the legs of the...

A Few Thoughts on Education

Sir Gooroodass Banerjee - 1910 - عدد الصفحات: 380
...contained by either of those other two sides and the straight line intercepted between the foot of the perpendicular let fall upon it from the opposite angle and the angle contained by those other sides. The student should be asked carefully to note this general enunciation...

The Ontario High School Geometry: Theoretical

Alexander H. McDougall - 1910 - عدد الصفحات: 316
...the obtuse angle equals the sum of the squares on the sides that contain the obtuse angle increased by twice the rectangle contained by either of these sides and the projection on that side of the other. Hypothesis. — ABC is a A in which LC is obtuse, and CD is the...

Annual Report of the Department of Education ..., المجلد 4،الجزء 1911;المجلد 6

Alberta. Department of Education - 1912 - عدد الصفحات: 244
...side subtending an acute angle is less than the sum of the squares on the sides containing the acute angle, by twice the rectangle contained by either...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 13—11. Values. 8 13. If a straight line drawn...

Calendar, الجزء 3

University of Calcutta - 1912 - عدد الصفحات: 746
...triangle, the square on the side subtending an acute 8 angle is less than the sum of the squares on the sides containing that angle by twice the rectangle contained by either of these sides nnd the projection on it of the other. ABC is a triangle and D is the middle point of AB. Prove that...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - عدد الصفحات: 632
...obtuse, the square on the side opposite that angle exceeds the sum of the squares on the remaining sides by twice the rectangle contained by either of these sides and the projection on it of the other. If the squares on one pair of opposite sides of a quadrilateral be together...

Special Reports on Educational Subjects, المجلدات 26-27

Great Britain. Board of Education - 1912 - عدد الصفحات: 1044
...obtuse, the square on the side opposite that angle exceeds the sum of the squares on the remaining sides by twice the rectangle contained by either of these sides and the projection on it of the other. If the squares on one pair of opposite sides of a quadrilateral be together...

The Calendar

University of South Africa - 1913 - عدد الصفحات: 768
...every triangle, the square on the side subtending an acute angle is less than the sum of 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. In an obtuse-angled triangle, if a perpendicular...




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