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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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 298 pages
...processes ? 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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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 660 pages
...every triangle the square on the side subtending either of the acute angles 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 acute angle and the perpendicular let fall...
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The Competitor, Volumes 1-2

1882 - 476 pages
...prove that 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 intercept between the acute angle and the fcot of tha perpendicular let fall from...
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Class lessons on Euclid

Marianne Nops - 1882 - 274 pages
...the square on the side subtending an acute angle is less than the squares on the sides containing it by twice the rectangle contained by either of those sides and the projection of the third side upon it. Let ABC be any triangle of which Z. ABC is an acute angle ; let...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883
...triangle, the square on the side subtending either of the acute angles 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 acute angle and the perpendicular let fall...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 172 pages
...any triangle the square on a side opposite to 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 projection of the other upon it. DC DBC Let AB be opposite the acute L ACB. Draw AD JL...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...THEOREM. 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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The Practical Teacher, Volume 2

Education - 1883 - 654 pages
...triangle, the square on the side subtending either of the acute angles is less than the squares on the sides containing that angle by twice the rectangle contained by either oí these sides, and the straight line intercepted between the acute angle and the perpendicular let...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 150 pages
...another. 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 perpendicular let fall upon it from the opposite angle, and the...
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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884 - 128 pages
...taken. 2. In any triangle, the square on the sides 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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