 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...  The Teaching of Mathematics in the United Kingdom - Page 500by Great Britain. Board of Education - 1912Full view - About this book
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...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...sides, and the straight line intercepted between the perpendicular,let fall upon it from the opposite angle, and the acute angle. Let ABC be any triangle,... | |
 | Euclid - Geometry - 1845 - 218 pages
...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...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles ; and upon BC, one of the sides... | |
 | Euclides - 1845 - 546 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. Let ABC be any triangle,... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...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...upon it from the opposite angle, and the acute angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | Euclides - 1846 - 292 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...upon it from the opposite angle and the acute angle, Let ABC be any triangle, and the angle at B one of its acute angles; and upon BC, one of the sides... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...side sub-tending either of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either...upon it from the opposite angle, and the acute angle. Prop. 46. Prop. 39. Prop. is. P J, 47 Fig. 1. A BDC 1st. When GEOMETRY. Fig. 2. A Fig. 3. A BC D BC... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...than the squares of the sides containing that angle, by twice the rectangle contained by either oj these sides, and the straight line intercepted between...upon it from the opposite angle, and the acute angle. Let ^\ ABC have the acute L ABC, upon BC one of the sides containing it, draw AD J_ BC ; then AC 8... | |
 | Great Britain. Committee on Education - Education - 1848 - 514 pages
...square of the side subtending any acute angle is less than the squares of the sides containing that angle by twice the rectangle contained by either of...upon it from the opposite angle and the acute angle ; prove only the first case of this proposition. Section 4. 1. Construct a triangle whose area shall... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...square of the side subtending any acute angle is less than the squares of the sides containing that angle by twice the rectangle contained by either of...upon it from the opposite angle and the acute angle ; prove only the first case of this proposition. Section 4. 1. Construct a triangle whose area shall... | |
 | Euclides - 1848 - 52 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK... | |
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