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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... "
A Supplement to the Elements of Euclid - Side 104
av Daniel Cresswell - 1819 - 410 sider
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...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.) - 1884
...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
...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 - 1890 - 132 sider
...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 ..., Volum 72

1906
...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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Parliamentary Papers, Volum 19

Great Britain. Parliament. House of Commons - 1861
...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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