 | Robert Potts - 1876 - 446 σελίδες
...of the other. (Take the case in which the assumed equal sides are those opposite to equal angles.) 4 In every triangle, the square on the side subtending an acute angle is less than the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight... | |
 | D. Tierney - 1877 - 126 σελίδες
...half the line. 5. 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 angle and the perpendicular let fall... | |
 | Edward Harri Mathews - 1879 - 94 σελίδες
...by EC, AC is half the square on BC, and that the square on EC is equal to the squares on EA, AB. 2. In every triangle, the square on the side subtending...angle by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Moffatt and Paige - 1879 - 378 σελίδες
...area of the rectangle ABCD; hence the area of the triangle is * a ti. The Proposition is Euclid II. 5. In every triangle, the square on the side subtending...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | University of Oxford - 1879 - 414 σελίδες
...equal to three given straight lines, but any two whatever of these must be greater than the third. 9. In every triangle, the square on the side subtending...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Euclides - 1879 - 146 σελίδες
...square on AB is equal to the square on BC together with the rectangle AB, BC. PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending...angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Moffatt and Paige - 1879 - 506 σελίδες
...Proposition XIII. Theorem. 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 angle and the perpendicular let fall... | |
 | Joseph Wollman - 1879 - 120 σελίδες
...QED SECTION IV. 1. 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 angle and the perpendicular let fall... | |
 | Isaac Sharpless - 1879 - 282 σελίδες
...every triangle the square of the side opposite an acute angle, is less than the sum of the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the line between the acute angle and the foot of the perpendicular falling on this... | |
 | Edwin T. Olver - 1879 - 158 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 intercepted between the acute angle and the perpendicular let fall... | |
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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 contained by either of these sides, and the straight line intercepted between the perpendicular let... 
