 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.  The Madras University Calendar - Page lvby University of Madras - 1879Full view - About this book
 | 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... | |
 | Euclides - 1847 - 128 pages
...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 side...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 - 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 - 710 pages
...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 upon the side subtending the right angle, is equal to the square described upon the sides which contain the right angle. APPENDIX (E.) TABLKS exhibiting the... | |
 | Euclides - 1848 - 52 pages
...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 side...described upon the sides which contain the right angle. PROP. XLVIII. THEOREM. BOOK II. DEFINITIONS. I. EVERY right-angled parallelogram is called a rectangle,... | |
 | Bengal council of educ - 1848 - 394 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... | |
 | Great Britain. Council on Education - Education - 1848 - 532 pages
...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 described upon 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... | |
 | J. Goodall, W. Hammond - 1848 - 390 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
...Hence every 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 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... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side...described upon the sides which contain the right angle. Section 3. 1. If a straight line be divided into any two part» the square of the whole line is equal... | |
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