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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... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Page 36
by Daniel Cresswell - 1817 - 436 pages
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...squares of the sides containing that angle, by t( the rectangle contained by either of those si e , and the straight line intercepted between the perpendicular let fall upon it from the opposifr angle, and the acute angle. 4. Describe a parallelogram that shall be to a given triangle,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...by the parts. II. 12 to 14. 144. The square on the base of an isosceles triangle is equal to twice the rectangle contained by either side and by the...line intercepted between the perpendicular let fall on the side from the opposite angle and the extremity of the base. 146. ABC_ is a triangle having the...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...of 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 upon it from the opposite angle, and the acute angle. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its...
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...sides by twice the rectangle contained by one ot those sides, and the pai't of it produced, included between the perpendicular let fall upon it from the opposite angle and the obtuse angle. 7. In the last proposition, if certain algebraic signs be given to certain lines, show...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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 opposite side and the acute angle. Prove this in the case where the perpendicular falls without the triangle....
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Annual Report of the Commissioners ..., Volume 72

1906 - 818 pages
...squares on the sides containing that angle by twice the rectangle contained by cither of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. SECTION B. 5. Through a given point within a given angle draw a straight line cutting...
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A Few Thoughts on Education

Sir Gooroodass Banerjee - Education - 1910 - 380 pages
...contained by either of those other two sides and the straight line intercepted between the foot of the perpendicular let fall upon it from the opposite angle and the angle contained by those other sides. The student should be asked carefully to note this general enunciation...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...squares on the sides containing the 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 opposite angle and the acute angle. D is a point in the side BC of a right-angled triangle ABC, of which C is the right angle....
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...squares on the sides containing the 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 opposite angle and the acute angle. D is a point in the side BC of a right-angled triangle ABC, of which C is the right angle....
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...squares of the sides containing that angle by twice the rectangle contained by cither of these sides and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the angle aforesaid. 7. If a straight lino be divided into any two parts the rectangle contained by the...
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