| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...straight line given on p. 153, we may enunciate Prop. 13 as follows ; In every triangle, the square on **the side subtending an acute angle is less than the sum of the squares** on the sides containing that angle, by twice the rectangle contained by one of these sides and the... | |
| 1900 - 652 pages
...lines cannot be drawu from the given point to the circumference. 4. In any triangle the square on any **side subtending an acute angle is less than the sum of the squares** on the sides containing that angle, by twice the rectangle contained by either of them and the intercept... | |
| Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...that part, together with the square on the other part. 5- Prove that in every triangle the square on **the side subtending an acute angle is less than the sum of the squares** on the sides containing that angle, by twice the rectangle contained by either of these sides, and... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...straight line given on p. 153, we may enunciate Prop. 13 as follows ; In every triangle, the square on **the side subtending an acute angle is less than the sum of the squares** on the sides containing that angle, by twice the rectangle contained by one of these sides and the... | |
| George Bruce Halsted - Geometry - 1904 - 324 pages
...equilateral triangle. _Proof. AB\ 305. Theorem. In any triangle, the square of a side opposite any **acute angle is less than the sum of the squares of the** other two sides by twice the product of either of those sides cand a sect from the foot of that ...... | |
| George Bruce Halsted - Geometry - 1904 - 313 pages
...+ FG 2 = (ħABr + (i3(AB) 2 = AB\ 305. Theorem. In any triangle, the square of a side opposite any **acute angle is less than the sum of the squares of the** other two sides by twice the product of either of those sides c ~ ___ and a sect from the foot of that... | |
| Trinity College (Dublin, Ireland) - 1911 - 616 pages
...and between the same parallels are equal in area. 2. Prove that the square of a side of a triangle **subtending an acute angle is less than the sum of the squares of the sides containing** the angle by twice a certain rectangle. 3. Prove that chords nearer to the centre of a circle are longer... | |
| Alberta. Department of Education - Education - 1912 - 244 pages
...produced. 6 — II. 3 (b) Express the theorem in (o) algebraically. 9 10. In every triangle the square on **the side subtending an acute angle is less than the sum of the squares** on the sides containing the acute angle, by twice the rectangle contained by either of these sides,... | |
| University of South Africa - Universities and colleges - 1913 - 768 pages
...(a — b)a — a.. — 2 ah + bi. 14) 0z _ bz = (a -fb) (a — b). 1n every triangle, the square on **the side subtending an acute angle is less than the sum of the squares** on the sides containing that angle, by twice the rectangle contained by either of these sides, and... | |
| Trinity College (Dublin, Ireland) - 1917 - 560 pages
...given triangle, and have an angle equal to a given angle. 4. Prove that in any triangle the square of a **side subtending an acute angle is less than the sum of the squares of the** other sides by twice the rectangle contained by either of those sides, and the straight line intercepted... | |
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