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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... "
Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ... - Page 20
by Pierce Morton - 1830 - 272 pages
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The London University Calendar

London univ - 1852 - 358 pages
...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 in- _ tercepted between the acute angle and the perpendicular let fall upon it from...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Geometry - 1853 - 336 pages
...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 angle, and ihn acute , angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...square of the side subtending any nj 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 let fall upon it from the opposite angle and...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 perpendicular let fall upon it from the opposite angle, and...
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The American House Carpenters' and Joiners' Assistant: Being a New and Easy ...

Lucius D. Gould - Carpentry - 1853 - 234 pages
...find the area of an acute angled triangle. Rule. — Multiply the length of the longest side by half the perpendicular let fall upon it from the opposite angle, and the product will be the area. Having the base and perpendicular of a right angled triangle, to find the...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...the side subtending either of the acute angles is less than the squares of the sides including this angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...square of the side opposite to any acute angle is less than the sum of the squares of the aides forming that angle by twice the rectangle contained by either of these sides and that part of it nhich is intercepted between a perpendicular let fall upon it from the vertex of the opposite angle...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...triangle BC, and that the quadrilateral ADFEis equal to either of ic triangles CFE or BDF. taining 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 angle, and...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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 angle, and the perpendicular let fall upon it from...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...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. In any acute.angled triangle ABC, AD, BE, CF are drawn respectively perpendicular to the...
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