| John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 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 contained by either of** those sides, and the straight line intercepted between the perpendicular let fall upon it from the... | |
| Euclides - 1885 - 340 pages
...In any triangle (ABC), the square on any side subtending an acute angle (C) is less than the 2um of **the squares on the sides containing that angle, by twice the rectangle** (BC, CD) contained by either of them (BC) and the intercept (CD) between the acute angle and the foot... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...In any triangle (ABC), the square on any side subtending an acute angle (C) is less than the sum of **the squares on the sides containing that angle, by twice the rectangle** (BC, CD) contained by either of them (BC) and the intercept (CD) between the acute angle and the foot... | |
| Canada. Department of the Interior - 1888 - 756 pages
...line. 4. Show that in every triangle, the square on the side subtending either of the acute angles **is less than the squares on the sides containing that...sides, and the straight line intercepted between the** acute angle and the perpendicular lot fall upon it from the opposite angle. 6. Find the centre of a... | |
| 1889 - 584 pages
...triangle, and D, E, F are the middle points of BC, CA, AB. Prove that AD, BE, CF meet in a point. 0. **In every triangle the square on the side subtending...angle is less than the squares on the sides containing** the acute angle hy twice the rectangle contained by either of those sides and the projection on it... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...CA < sqs. on CB, BA by twice sq. on BC. ne enunciation should also be learned in the subjoined form. **In every triangle the square on the side subtending...rectangle contained by either of these sides and the** projection of the other upon it. PROPOSITION 14. To describe a square that shall be equal to a given... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...line is bisected. 2. 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** those sides, and the straight line intercepted between the acute angle and the perpendicular let fall... | |
| James Blaikie, William Thomson - Geometry - 1891 - 160 pages
...show that the sum of the squares of the sides of the figure FGHKED is 8BC2. See Ex. 11 (3). 19. In any **triangle the square on the side subtending an acute angle is less than the** sum of the squares on the sides containing that angle. Use Euc. I. 47 and I. 24. 20. In an obtuse-angled... | |
| Euclid - Geometry - 1892 - 460 pages
...side upon it. Prop. 13 may be written AC2=AB2+BC2-2CB.BD, and it may also be enunciated as follows : **In every triangle the square on the side subtending...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 Blaikie - 1892 - 74 pages
...intercepted between the perpendicular let fall on it from the opposite vertex and the obtuse angle. 13. **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... | |
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