 | William Somerville Orr - Science - 1854 - 534 pages
...than the squares of the sides (С В, В A) containing that angle, by twice the rectangle (C BB D) contained by either of these sides, and the straight line intercepted between the perpendicular (AD) and the acute angle (B) : that is, A C2 = С В2 + В A3— twice С BB D. First, let AD fall... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...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... | |
 | 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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. 6. The angles in the same segment of... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...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...sides, and the straight line intercepted between the acute angle, and the perpendicular let fall upon it from the opposite angle. 7. If a point be taken... | |
 | Euclides - 1856 - 168 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. Let ABC be any triangle (Figs. 43, 42)... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...subtending either of the acute angles is less than the sum of the squares on the sides including this angle, by twice the rectangle contained by either...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, from the opposite angular... | |
 | 1857 - 486 pages
...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...straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle. of the hexagonal figure thus formed,... | |
 | Euclides - 1858 - 248 pages
...side subtending either of the acute angles is less than the squares of the sides containing that acute angle by twice the rectangle contained by either of...straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. CONS.— 12. 1., Pst. 2. DEM. — 7-... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...square of the side subtending an acute angle is less than the squares of the sides containing that angle by twice the rectangle contained by either of...sides, and the straight line intercepted between the acute angle and the perpendicular lot fall upon it from the opposite angle. If four straight lines... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. VOLUNTARY PORTION. 1. When... | |
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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 perpendicular... 
