| John Playfair - 1826 - 326 Seiten
...right angled triangles, &e. " "* " Q. E JD. • f ' PROP. XXXII. THEOR If two triangles, whieh have **two sides of the one proportional to two sides of...have their homologous sides parallel to one another** ; their remaining sides shall be in a straight line. Let ABC, DCE be two triangles whieh have two sides... | |
| Euclides - 1826 - 226 Seiten
...AC. Therefore in right-angled triangles, 8cc. QED PROPOSITION XXXII. THEOREM. If two triangles having **two sides of the one proportional to two sides of the other, be joined at one angle, so** that their homologous sides be parallel; the remaining sides of those triangles shall be in one right... | |
| Euclid - 1826 - 234 Seiten
...AC. Therefore in right-angled triangles, 8tc. QED PROPOSITION XXXII. THEOREM. If two triangles having **two sides of the one proportional to two sides of the other, be joined at one angle, so** that their homologous sides be parallel; the remaining sides of those triangles shall be in one right... | |
| John Playfair - 1833 - 346 Seiten
...figures. Wherefore, in right angled triangles, &c. QED PROP. XXXII. THEOR. If two triangles, which have **two sides of the one proportional to two sides of the other, be joined at one angle, so as to** hate their homologous sides parallel to one another ; their remaining sides shall be in a straight... | |
| Euclides - 1834 - 518 Seiten
...triangles, &c. o. ED PROPOSITION XXXII. THEOR. — If two triangles, which have two sides of the one, See N. **proportional to two sides of the other, be joined...remaining sides shall be in a straight line. Let ABC, DCE** he two triangles, which have the two sides BA, AC proportional to the two CD, DE, viz. BA to AC, as... | |
| Euclid - 1835 - 540 Seiten
...together. Wherefore, " in right angled triangles," &c. QED PROP. XXXII. THEOR. If two triangles, which have **two sides of the one proportional to two sides of...other, be joined at one angle, so as to have their** liomologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC,... | |
| John Playfair - 1836 - 488 Seiten
...Cor. 20.6. PROP. XXXII. THEOR. If two triangles which have two sides of the one proportional to ttvo **sides of 'the other, be joined at one angle, so as...straight line. Let ABC, DCE be two triangles which** haTe two sides BA, AC proportional to the two CD, DE, viz. BA to AC, as CD to DE ; and let AB be parallel... | |
| 1836 - 488 Seiten
...similarly described figures upon the sides containing the right angle. XXXII. if two triangles, which have **two sides of the one proportional to two sides of...have their homologous sides parallel to one another;** their remaining sides shall be in a straight line. XXXIII. In equal circles, angles, whether at the... | |
| Andrew Bell - 1837 - 290 Seiten
...similarly described figures on BA, AC (V. B). PROPOSITION XXXH. THEOREM. If two triangles, which have **two sides of the one proportional to two sides of...two sides BA, AC, proportional to the two CD, DE,** namely, BA to AC, as CD to DE ; and let AB be parallel to DC, and AC to DE ; BC and CE are in a straight... | |
| John Playfair - 1837 - 332 Seiten
...equal to that on BC ; and they are similar figures. PROP. XXXII. THEOR. If two triangles, which have **two sides of the one proportional to two sides of...at one angle , so as to have their homologous sides** pa-* rallel to one another ; their remaining sides shall be in a straight line. Let ABC, DCE be two... | |
| |