 | Oxford univ, local exams - 1885 - 358 pages
...other two sides of it, the angle contained by these two sides is a right angle. 7. 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... | |
 | Euclides - 1885 - 340 pages
...THEOREM. 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... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...sides.) THE ELEMENTS OF GEOMETRY. THEOREM II. 306. In any triangle, the square on a side opposite any acute angle is less than the sum of the squares on the other two sides by twice the rectangle contained by either of those sides and the projection of the... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...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 angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the acute angle and the... | |
 | George Johnston Allman - Geometry - 1889 - 266 pages
...inscribed in a circle is equal to the radius ; (£). In any triangle the square on a side opposite to an acute angle is less than the sum of the squares on the sides which contain the acute angle ; (e). In an obtuse-angled triangle the square on the side subtending... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...parallelograms having the same perimeter, the square has the shortest diagonals. 5. 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,... | |
 | Euclid - Geometry - 1890 - 442 pages
...| A ., \ v N is right, 97 Proposition 13. THEOREM — In any triangle the square on a side opposite an acute angle is less than the sum of the squares on the sides forming the acute angle, by twice the rectangle contained by one of the latter lines and the projection... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...Euclid's sequence of propositions. Great importance mill be attached to accuracy] 1. 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,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...by twice sq. on BC. ne enunciation should also be learned in the subjoined form. 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... | |
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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 straight line intercepted between the perpendicular let... 
