 | Euclid, James Thomson - 1837 - 410 lapas
...angle, is less than the squares of the other sides, by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular drawn to that side from the opposite angle. Let ABC (see this figure and that of the foregoing proposition,)... | |
 | Euclides - 1841 - 378 lapas
...of the side subtending an acute angle, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these...perpendicular let fall upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | Euclides - 1845 - 546 lapas
...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...perpendicular let fall upon it from the opposite angle. Let ABC be any triangle, and the angle at B one of its acute angles, and upon BC, one of the sides... | |
 | Euclid, James Thomson - 1845 - 382 lapas
...angle, is less than the squares of the other sides, by twice the rectangle contained by either of those sides, and the straight line intercepted between the acute angle and the perpendicular drawn to that side from the opposite angle. Let ABC (see this figure and that of the foregoing proposition)... | |
 | 1847 - 508 lapas
...of the sides containing that angle by twice the rectangle contained by either of those sides, aud the straight line intercepted between the acute angle...perpendicular let fall upon it from the opposite angle. NB The first case only of this proposition is to be proved. 3. The sides about the equal angles of... | |
 | J. Goodall, W. Hammond - 1848 - 390 lapas
...GEOMETRY, TRIGONOMETRY, AND MENSURATION. (One question only to be answered in each section.) Section 1. 2. If two triangles have two sides of the one equal...are to one another in the duplicate ratio of their homologous sides. 2. If one angle of a triangle be equal to the sum of the other two, the greatest... | |
 | Great Britain. Council on Education - 1848 - 596 lapas
...3. In every triangle the square of the side subtending either of the acute angles is less than tbe square of the sides containing it by twice the rectangle...demonstrated.) Section 2. 1. Similar triangles are to pne another in the duplicate ratio of their 1mmologuous sides. 2. If one angle of a triangle be equal... | |
 | Euclides - 1848 - 52 lapas
...side subtending any of the acute angles, is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these...perpendicular let fall upon it from the opposite angle. PROP. XIV. PROBLEM. BOOK III. DEFINITIONS. I. EQUAL circles are those of which the diameters are equal,... | |
 | Home and colonial school society - 1848 - 412 lapas
...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 opposite angle. " Investigate the polar equation to a parabola. " Investigate the moment of inertia of a sphere about... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 lapas
...the squares of the sides containing that angle by twice the rectangle contained by cither of those sides, and the straight line intercepted between the...perpendicular let fall upon it from the opposite angle. 4. The sides about the equal angles of equiangular triangles are proportionals. NB The first case... | |
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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 acute... 
