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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 Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - Education - 1848
...of half the line. 2. In any triangle the square of the side subtending any acute angle 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 let fall upon it from the...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1848 - 514 pages
...of half the line. 2. In any triangle the square of the side subtending any acute angle 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 let fall upon it from the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...THEOREM. 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 acute angle and the perpendicular let fall...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...XIII. THEOR. 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 let fall upon it from the...
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The English Journal of Education, Volume 4

Education - 1850
...angle. 3. 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...rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1850 - 914 pages
...angle. 3. 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...rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite...
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The Calendar of King's College, London

1850
...line. 3. 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...rectangle contained by either of those sides, and the right line intercepted between the perpendicular let fall upon it from the opposite angle, and the...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850
...angle. 3. 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 cither of those sides, and the straight line intercepted between the acute angle and the perpendicular...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...XIII. THEOR. 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 let fall upon it from the...
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The London University Calendar

London univ - 1852
...every acute-angled 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 in- _ tercepted between the acute angle and the perpendicular let...
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