 | Joseph Wollman - 1879 - 120 pàgines
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle contained by the sides of a rightangled... | |
 | Moffatt and Paige - 1879 - 506 pàgines
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute... | |
 | Great Britain. Parliament. House of Commons - 1879 - 632 pàgines
...of the base. 4. In every triangle the square of the side subtending any of the acute angles is lees than the squares of the sides containing that angle...sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle and the acute angle. 5. If a straight line drawn... | |
 | Euclides - 1879 - 146 pàgines
...THEOREM. 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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any A, and /.... | |
 | University of Oxford - 1879 - 414 pàgines
...9. 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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. If a straight line touch... | |
 | Edward Harri Mathews - 1879 - 94 pàgines
...ABCD. 2. In every triangle the square on a side subtending an acute angle is less than the squares on the sides containing that angle by twice the rectangle...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. By means of this proposition,... | |
 | Moffatt and Paige - 1879 - 378 pàgines
...5. 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...sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 5. Why cannot we satisfactorily... | |
 | Euclides, James Hamblin Smith - 1879 - 376 pàgines
...triangle, the square on the side subtending any of the acute angles is less than the squares on tlie sides containing that angle, by twice the rectangle...sides and the straight line intercepted between the perpendicular, let fall upon it from the opposite angle, and the acute angle. FIG. i. Fio. 2. Let ABC... | |
 | Isaac Sharpless - 1879 - 282 pàgines
...Theorem.—In 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...rectangle contained by either of these sides, and the line between the acute angle and the foot of the perpendicular falling on this side from the opposite... | |
 | Education Ministry of - 1880 - 238 pàgines
...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...intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle contained by the sides of a right-angled... | |
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Therefore, in obtuse-angled triangles, &c. QED PROP. XIII. THEOREM. 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... 
