 | Euclid, John Playfair - 1826 - 326 σελίδες
...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 σελίδες
...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 - 236 σελίδες
...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 - 333 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 - 472 σελίδες
...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 - 240 σελίδες
...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 σελίδες
...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... | |
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