 | Z. A. Davis - 1843 - 408 Seiten
...of our ancient friend and b-other, * THEOREM.] — 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. — Euclid, lib. i. prop. 47. the great Pythagoras, who, in his travels... | |
 | Euclid - 1845 - 218 Seiten
...angles right angles. PROPOSITION XL VII. THEOR. — 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. Let ABC be a right-angled triangle having the right angle BAC ; the... | |
 | Euclides - 1845 - 546 Seiten
...angles right angles. PROPOSITION XLVII. THEOREM. 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. Let ABC be a right-angled triangle, having the right angle BAC. Then... | |
 | Euclid, James Thomson - 1845 - 382 Seiten
...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 squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC ; the... | |
 | Euclid, John Playfair - 1846 - 334 Seiten
...all its angles right angles. PROP. XLVII. THEOR. 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. Let ABC be a right angled triangle having the right angle BAC ; the... | |
 | London univ - 1846 - 326 Seiten
...diameter of any .parallelogram are equal. 8. In any right-angled triangle, prove that 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. described upon the two sides are together equivalent to a parallelogram... | |
 | Euclides - 1846 - 292 Seiten
...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 Seiten
...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 Seiten
...sides &c.— QED PROP. XLVII. THEOR. GEN. ENUN. — 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. PART. ENUN. — Let ABC be a rt. Zd A, having the rt. Z BAC; then the... | |
 | John EWART (Land Surveyor.) - 1847 - 108 Seiten
...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 to the squares described upon the sides which contain the right angle." By which theorem, the hypothenuse, or side subtending the right angle,... | |
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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. 
