 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...square of the base of an isosceles triangle is double the rectangle contained by either side and by the line intercepted between the perpendicular let fall upon it from the opposite angle, and the extremity of the base. 14. If two sides of a trapezium be parallel to each other, the squares of its... | |
 | 1850 - 400 σελίδες
...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 those sides, and the right line intercepted between the perpendicular let fall upon it from the opposite... | |
 | Great Britain. Committee on Education - 1850 - 942 σελίδες
...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 those sides, and the straight line intercepted between the acute angle and the perpendicular let fall... | |
 | London univ - 1852 - 358 σελίδες
...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 in- _ tercepted between the acute angle and the perpendicular let fall upon it from the opposite angle.... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...triangle, the 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...from the opposite angle and the acute angle. Let ABC beany triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides containing... | |
 | Euclid, John Playfair - 1853 - 336 σελίδες
...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...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,... | |
 | Euclides - 1853 - 334 σελίδες
...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...sides, and the straight line intercepted between the acute angle and the perpendicular drawn to this side, produced if necessary, front the opposite angular... | |
 | Euclides - 1853 - 176 σελίδες
...betumeen the perpendicular let fall upon it from tlie opposiie angle and the acute angle. LET ab С be any triangle, and the angle at b one of its acute angles, and upon b С, one of the sides containing it, let fall the perpendicular (i. 12) ad from the opposite angle:... | |
 | Lucius D. Gould - 1853 - 234 σελίδες
...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... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...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... | |
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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... 
