| James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse **angle by twice the rectangle contained by either of these sides, and the** produced part of it intercepted between the perpendicular let fall on it from the opposite vertex and... | |
| Canada. Department of the Interior - 1893 - 1280 pages
...geometrically the theorem which stated in Algebraic language is 13 (a + xy- + (a @ z)! = L'a5 + 2^. 5.ID **every triangle, the square on the side subtending an acute angle is** 13 less than the squares on the sides containing that angle, by twice the rectangle contained by either... | |
| Henry Martyn Taylor - 1893 - 486 pages
...square on a side subtending an acute angle, is less than the sum of the squares on the other sides, **by twice the rectangle contained by either of these sides, and the** part of the side intercepted between the perpendicular let fall on it from the opposite angle, and... | |
| 1894 - 788 pages
...other part. 6. In any triangle the square on a side opposite 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 part or it between the acute angle and the perpendicular on it from the opposite angle.... | |
| John Macnie - Geometry - 1895 - 392 pages
...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 these sides and the** projection upon it of the other side. p\ > Given: C, an acute angle of triangle ABC, and PC, the projection... | |
| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...square on a side subtending an acute angle, is lens than the sum of the squares on the other sides, **by twice the rectangle contained by either of these sides, and the** part of the side intercepted between the perpendicular let fall on it from the opposite angle, and... | |
| Queensland. Department of Public Instruction - Education - 1897 - 456 pages
...the rectangle contained by the whole and one part may be equal to the square on the other part. 6. **In every triangle, the square on the side subtending an acute angle is less than the squares on** tho sides containing that angle, by twice the rectangle contained by either of these sides and the... | |
| 1899 - 166 pages
...square on a side subtending an acute angle, is less than the sum of the squares on the other sides, **by twice the rectangle contained by either of these sides, and the** part of the side intercepted between the perpendicular let fall on it from the opposite angle, and... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...describe a triangle equal to a given parallelogram and having one of its angles half a given angle. 4. **In every triangle, the square on the side subtending...the squares on the sides containing that angle, by** Uvice the rectangle contained by either of these sides, and the straight line intercepted between the... | |
| 1900 - 650 pages
...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 between the acute angle and the foot of the perpendicular on it from the opposite... | |
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