 | Moffatt and Paige - 1879 - 506 pages
...triangles, etc. QED 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, 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,... | |
 | Joseph Wollman - 1879 - 120 pages
...the points of section. 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 and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle... | |
 | Euclides - 1879 - 146 pages
...BC. PROPOSITION XIII. THEOREM. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. Let ABC be any A, and /. B one of its acute L s,... | |
 | Moffatt and Paige - 1879 - 378 pages
...The Proposition is Euclid II. 5. In every triangle, the square on the side subtending an acute angle is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 5. Why cannot we satisfactorily demonstrate propositions... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...be greater than the third. 9. In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that...line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. If a straight line touch a circle, and from... | |
 | Edwin T. Olver - 1879 - 158 pages
...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...sides, and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. I. II. Majorca Iceland... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...Prove the truth of your answer. 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 those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Edward Harri Mathews - 1879 - 94 pages
...squares of the two straight lines. 3. In every triangle the square on the side subtending an acXite angle is less than the squares on the sides containing that...angle by twice the rectangle contained by either of those sides, and the straight line intercepted between the perpendicular let fall on it from the opposite... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...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 side from the opposite... | |
 | Education Ministry of - 1880 - 238 pages
...smaller square above mentioned. 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 and the straight line intercepted between the acute angle and the perpendicular let fall upon it from the opposite angle. Show that the rectangle... | |
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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 acute... 
