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" 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, and the straight line intercepted between the acute... "
The Principles of Analytical Geometry: Designed for the Use of Students - Pàgina 1
per Henry Parr Hamilton - 1826 - 326 pàgines
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 pàgines
...parts. 4. 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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. If D be the middle point of the base BC of a triangle...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 pàgines
...1. 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...line intercepted between the perpendicular let fall from the opposite angle and the acute angle. From two angular points of an acute-angled triangle ADC...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...side subtending the obtuse angle is greater than the sum of the squares on the sides containing it by twice the rectangle contained by either of these sides and the projection of the other upon it. Ex. 212. — Any straight line is equal to its projection upon a parallel...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 pàgines
...13. 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...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 14. To describe a square that shall be equal to...
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Yale Examination Papers

Yale University - 1892 - 200 pàgines
...2. 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...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 3. The opposite sides of a parallelogram are equal...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892 - 508 pàgines
...In every triangle the square on the «ide subtending 20 an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. For Admission as Teacher of the Third Class. (Three...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 pàgines
...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...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Fig.l. Fig. 2 Let ABC be any triangle having the...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Llibre 2

James Andrew Blaikie, William Thomson - 1892 - 74 pàgines
...subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of these sides, and the produced part of it intercepted between the perpendicular let fall on it from the opposite vertex and...
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A Text-book of Geometrical Deductions: Corresponding to Euclid ..., Llibre 2

James Blaikie - 1892 - 74 pàgines
...side opposite an acute angle is equal to the sum of the squares on the other two sides, diminished by twice the rectangle contained by either of these sides, and the projection on it of the other side (Euc. II. 13). a DLE The constructions are similar to those of the...
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Sessional Papers, Volum 26,Edició 8

1893 - 1092 pàgines
...5. 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...line intercepted between the perpendicular let fall on it. from the opposite angle and the acute angle. 6. If two circles touch one another externally,...
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