 | 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 Andrew 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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In every 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 these sides, and the straight line intercepted between the perpendicular... 
