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" In 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 contained by either of these sides, and the straight line intercepted between the perpendicular... "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 29
by Euclides - 1840
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...In every triangle, the square on the side subtending an acute angle is less than the squares on tho sides containing that angle, by twice the rectangle contained by either of these sides and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...side opposite the obtuse angle is equal to the sum of the squares on the other two sides increased by twice the rectangle contained by either of those sides and the projection on it of the other side. II. 12. (b) State the general proposition of which (a) is a particular...
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Annual Report of the Commissioners ..., Volume 64

1898 - 830 pages
...the square of a side subtending an acute angle is less than the sum of the squares of the other sides by twice the rectangle contained by either of those sides and the straight line intercepted between the acute angle and the perpendicular drawn ťo that side from the...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 566 pages
...4. 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 contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Annual Report of the Commissioners ..., Volume 66

1900 - 650 pages
...any triangle the square on any side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle contained by either of them and the intercept between the acute angle and the foot of the perpendicular on it from the opposite...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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 contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...4. 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 contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...proved. 5. 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 angle and the...
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The School World, Volume 3

Education - 1901 - 548 pages
...(4) In every triangle the square on the side subtending an acute angle is less ihan 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 perpendicular let fall on it from the opposite...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...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 contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite...
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