| Dennis M'Curdy - Geometry - 1846 - 168 pages
...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 - 1846 - 292 pages
...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... | |
| John EWART (Land Surveyor.) - 1847 - 108 pages
...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 - School buildings - 1847 - 708 pages
...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... | |
| Euclid - 1848 - 52 pages
...every parallelogram that has one right angle, has all its angles right angles. PROP. XLVII. THEOREM. **In any right-angled triangle, the square which is...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
...to one another. — See " Bell's Euclid," prop. 35, book i. ; or " Tate's Geometry," &c. p. 33. 3. **In any right-angled triangle, the square which is...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.... | |
| Great Britain. Council on Education - Education - 1848 - 532 pages
...Prove that parallelograms on the sams base and between the same parallels are equal to one another. 3. **In any right-angled triangle, the square which is...the side subtending the right angle is equal to the** square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided... | |
| Bengal council of educ - 1848 - 396 pages
...understand the 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... | |
| J. Goodall, W. Hammond - 1848 - 388 pages
...to one another." Euclid i. 35. Tate, Art. 48. 3. " In any right-angled triangle the square which js **described upon the side subtending the right angle is equal to the** square described upon the sides containing the right angle." Euclid i. 47. Tate, Art. 45. SECTION III.... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...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...described upon 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... | |
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