 | Euclid - Geometry - 1892 - 460 pages
...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 projection of the other side upon it. EXERCISES. The following theorem should be noticed ; it is proved... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...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 the part of it intercepted between the perpendicular let fall on it from the opposite vertex and the acute... | |
 | James Blaikie - 1892 - 74 pages
...side opposite an acute angle is equal to the sum of the squares on the other two sides, diminished by twice the rectangle contained by either of these sides, and the projection on it of the other side (Euc. II. 13). a DLE The constructions are similar to those of the... | |
 | Canada - 1893 - 1092 pages
...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...line intercepted between the perpendicular let fall on it. from the opposite angle and the acute angle. 6. If two circles touch one another externally,... | |
 | Canada. Department of the Interior - 1893 - 1280 pages
...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 of these sides, and the straight line in tercepted between the perpendicular let fall on it from the opposite angle and the acute angle.... | |
 | 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
...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.... | |
 | 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... | |
 | John Macnie - Geometry - 1895 - 390 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... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...triangle, the square on th« side subtending any one of the angles, is less than the squares on the sides containing that angle, by twice the rectangle...line intercepted between the perpendicular let fall on it from the opposite angle, and the aforesaid angle. ALGEBRA TO SIMPLE EQUATIONS. (Seeßrst note... | |
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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... 
