 | Great Britain. Committee on Education - 1847 - 710 Seiten
...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 Seiten
...all its angles 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 right-angled parallelogram... | |
 | J. Goodall, W. Hammond - 1848 - 390 Seiten
...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.... | |
 | Great Britain. Council on Education - 1848 - 532 Seiten
...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... | |
 | Euclid, Thomas Tate - 1849 - 120 Seiten
...all its angles 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 BAC; the square... | |
 | Great Britain. Committee on Education - 1850 - 790 Seiten
...point parallel to a 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 two part» the... | |
 | Harvey Goodwin - 1851 - 196 Seiten
...base AB and on opposite sides of it ; join CD meeting AB in E ; shew that CE is equal to ED. 2. In any right-angled triangle, the square described upon the...angle, is equal to the squares described upon the sides which contain the right angle. If ABC be a triangle whose angle A is a right angle, and BE, CF be drawn... | |
 | Francis James Jameson - 1851 - 144 Seiten
...ADEB ; that is, the less equals the greater, which is absurd. Therefore CE = ED. 1851. (A}. In any right-angled triangle, the square described upon the...the right angle is equal to the squares described on the sides which contain the right angle. (l. 47.) (B). If ABC be a triangle whose angle A is a right... | |
 | 1852 - 316 Seiten
...angles, or are together equal to two right angles. II. 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. III. If a straight line be divided into any two parts, the rectangle... | |
 | London univ - 1852 - 358 Seiten
...that of an equal rectangle of the same altitude. 9. 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. 10. Any two parallelograms having been described upon two sides of a... | |
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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. 
