 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...parts. 4. 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. If D be the middle point of the base BC of a triangle... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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...line intercepted between the perpendicular let fall from the opposite angle and the acute angle. From two angular points of an acute-angled triangle ADC... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...side subtending the obtuse angle is greater than the sum of the squares on the sides containing it by twice the rectangle contained by either of these sides and the projection of the other upon it. Ex. 212. — Any straight line is equal to its projection upon a parallel... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...13. 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. 14. To describe a square that shall be equal to... | |
 | Yale University - 1892 - 200 pages
...2. 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. 3. The opposite sides of a parallelogram are equal... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...In every triangle the square on the «ide subtending 20 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. For Admission as Teacher of the Third Class. (Three... | |
 | Euclid - Geometry - 1892 - 460 pages
...THEOREM. 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. Fig.l. Fig. 2 Let ABC be any triangle having the... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...subtending the obtuse angle is greater than the sum of the squares on the sides containing the obtuse angle by twice the rectangle contained by either of these sides, and the produced part of it intercepted between the perpendicular let fall on it from the opposite vertex and... | |
 | 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
...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...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,... | |
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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... 
