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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 acute... "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 101
by James Bates Thomson - 1844 - 237 pages
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...and log 8-5614 = -9325448 find log 856 -1427 and log -008561427. 1. In 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,...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...times the rectangle and smaller square above mentioned. SECTION IV. 1. In 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...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...half the line. What is the corresponding algebraical formula 1 3. In 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,...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...having two of its other sides double of the given straight line. f 4. In 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...
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Elements of Plane and Spherical Trigonometry with Logarithmic and Other ...

Simon Newcomb - Trigonometry - 1882 - 372 pages
...y. J Proof. It is shown in geometry that in any triangle the side opposite an acute angle is greater than the sum of the squares of the other two sides by twice the product of one of these sides into the projection of the other side upon it. If a be the acute angle,...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...line, and of the square on the line between the points of section. 3. In 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,...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...times the rectangle and smaller square above mentioned. SECTION IV. 1. In 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...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 568 pages
...part, together with the square on the other part. Prop. 7, Bk. II. 3. In 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 eithor of these sides,...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...is, the square of BA is greater than the squares of BC, CA, by twice the rectangle BC, CD. ~KIII. — 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,...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...square. 2. Triangles upon the same base and between the same parallels, are equal to one 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 twice the rectangle contained by either of those sides,...
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