 | Euclides - 1846 - 292 σελίδες
...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 σελίδες
...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 σελίδες
...square (Def. 29). 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 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 σελίδες
...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 - 1847 - 708 σελίδες
...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... | |
 | Euclides - 1848 - 52 σελίδες
...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,... | |
 | 1848 - 542 σελίδες
...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 - 1848 - 532 σελίδες
...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 - 394 σελίδες
...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 - 390 σελίδες
...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.... | |
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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. 
