| Euclid - 1845 - 199 pagina’s
...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 - 352 pagina’s
...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.... | |
| John Playfair - 1846 - 317 pagina’s
...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
...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
...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
...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 - 138 pagina’s
...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
...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 - 83 pagina’s
...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... | |
| Great Britain. Committee on Education - 1847
...the alternate angles equal to each other, these two straight lines shall be parallel. 3. Show that **in any right-angled triangle the square which is described...the side subtending the right angle, is equal to the** square described upon the sides which contain the right angle. APPENDIX (E.) TABLES exhibiting the... | |
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