 | Euclides - 1846 - 292 pages
...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 triangle, having the right angle BAC, and upon AB, AC, BC let any similar and similarly situated figures be described : the figure upon BC... | |
 | 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...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... | |
 | 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...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... | |
 | Anthony Nesbit - Plane trigonometry - 1847 - 492 pages
...; the triangle ABC is equal to the triangle DBC. (Euc. I. 37. Simp. II. 2. Em. II. 10.) THEOREM VH. Let ABC be a right-angled triangle, having the right angle BAC; the square of the side BC is equal to the sum of the squares of the sides AB, A C. (Euc. I. 47. Simp. II. 8. Em.... | |
 | 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...described upon the sides which contain the right angle. PROP. XLVIII. THEOREM. BOOK II. DEFINITIONS. I. EVERY right-angled parallelogram is called a rectangle,... | |
 | 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 Geometry," &c.... | |
 | 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 parts, and... | |
 | 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 demonstration... | |
 | 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...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... | |
 | 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, and on... | |
| |
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. 
