 | Euclides - 1845 - 546 σελίδες
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. THEOREM. In any right-angled triangle, the square which is...be a right-angled triangle, having the right angle BAC. Then the square described upon the side BC, shall be equal to the squares described upon BA, AC.... | |
 | Euclid - 1845 - 218 σελίδες
...parallelogram that has one right angle has all its angles right angles. PROPOSITION XL VII. THEOR. — In any right-angled triangle, the square which is...be a right-angled triangle having the right angle BAC ; the square described upon the side BC is equal to the squares described upon BA, AC. On BC describe*... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...THEOR. — In any right-angled triangle, the square which is described upon the hypotenuse, that is, the side subtending the right angle, is equal to the...be a right-angled triangle, having the right angle BAC ; the square described upon the hypotenuse BC is equal to the squares described upon BA and AC.... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...parallelogram that has one right angle has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side...sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to... | |
 | London univ - 1846 - 326 σελίδες
...are about the diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that the square which is described upon the side subtending...described upon the sides which contain the right angle. described upon the two sides are together equivalent to a parallelogram described upon the base, and... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...which is described upon the hypothenuse, or side subtending the right angle, is equal to the sum of the squares described upon the sides which contain the right angle. Let ABC be a rt. angled ./^, having the rt. ^. BAC. Then BC* = BA S -f AC 2 . On BC, BA, AC, descr. the squares... | |
 | Euclides - 1846 - 292 σελίδες
...extreme and mean ratio in CQEF PROP. XXXI. THEOR. In any right-angled triangle, any rectilineal figure described upon the side subtending the right angle is equal to the similar and similarly situated figures upon the sides containing the right angle. Let ABC be a right-angled... | |
 | Dennis M'Curdy - 1846 - 168 σελίδες
...AE : : AE : EB, &c., as above (p. 17, 6). 31 Th. In right angled triangles, the rectilineal figure described upon the side subtending the right angle, is equal to the figures similar to it, described upon the sides containing the same angle. Given the triangle ABC,... | |
 | Euclides - 1847 - 128 σελίδες
...square (Def. 29). Wherefore, if in each of the sides &c.— QED PROP. XLVII. THEOR. GEN. ENUN. — In any right.angled triangle, the square which is...described upon the sides which contain the right angle. PART. ENUN. — Let ABC be a rt. Zd A, having the rt. Z BAC; then the square described upon BC = the... | |
 | John EWART (Land Surveyor.) - 1847 - 108 σελίδες
...47th prop, of 1st book of Euclid, that, "in any right-angled triangle, the square which is desciibed upon the side subtending the right angle, is equal...described upon the sides which contain the right angle." By which theorem, the hypothenuse, or side subtending the right angle, is equal to the square root... | |
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In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
