 | Euclides - 1847 - 128 pages
...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.... | |
 | John EWART (Land Surveyor.) - 1847 - 108 pages
...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... | |
 | Bengal council of educ - 1848 - 394 pages
...application of the test of geometrical equality. 23. In a right-angled triangle, the square described upon the side subtending the right angle is equal to the squares described upon the sides containing it. Why is the 'geometrical equality of the figures not determined in the... | |
 | Education - 1848 - 542 pages
..." Tate's Geometry," &c. p. 33. 3. 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 containing the right angle.— See " Bell's Euclid," prop. 47, book i. j or " Tate's... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...parallels are equal to one another. 3. 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 containing the right angle. SECTION III. 1. If a straight line be divided into two equal... | |
 | Euclides - 1848 - 52 pages
...right angles. PROP. 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. PROP. XLVIII. THEOREM. BOOK II. DEFINITIONS. I. EVERY... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...square described on the hyfothenuse is equivalent to the sum of the squares on the other t>M, sides. i Let ABC be a right-angled triangle, having the right angle BAC; the square described upon the side BC is equivalent to the sum of the squares upon BA, AC. On BC describe the square BCED,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...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... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...given straight line. 3. Show that in any risht-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. Section 3. 1. If a straight line be divided into any... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...which is absurd. Therefore CE = ED. 1851. (A}. In any right-angled triangle, the square described upon the side subtending the right angle is equal to the...described on the sides which contain the right angle. (l. 47.) (B). If ABC be a triangle whose angle A is a right angle, and BE, CF be drawn bisecting the... | |
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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. 
