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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... "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 139
by Charles Reiner - 1837 - 215 pages
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pages
...the side subtending either of the acute angles is less than the square of the sides, containing it by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of...
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Minutes ...: Correspondence, Financial Statements, Etc., and ..., Volume 2

Great Britain. Committee on Education - 1848 - 606 pages
...of the side subtending either of the acute angles is less than the square of the sides containing it by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of...
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Report of the Committee of Council on Education (England and Wales ..., Issue 2

Great Britain. Council on Education - Education - 1848 - 596 pages
...of the side subtending either of the acute angles is less than tbe square of the sides containing it by twice the rectangle contained by either of these...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. (The first case only of...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle...
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The London University Calendar

London univ - 1852 - 358 pages
...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 fall upon it from the opposite angle....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...of the side subtending any nj the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either...straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. Let ABC beany triangle, and the angle...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...the side subtending either of the acute angles is less than the squares of the sides including this angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, front the opposite angular...
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