| Euclides - 1848 - 52 Seiten
...figures upon the sides containing the right angle. PROP. XXXII. THEOREM. If two triangles which have **two sides of the one proportional to two sides of...another; the remaining sides shall be in a straight line.** PROP. XXXIII. THEOREM. In equal circles, angles, whether at the centres or circumferences, have the... | |
| John Playfair - 1849 - 332 Seiten
...PROP. XXXII. THEOR. If two triangles, which have two sides of the one proportional to two sides oj **the other, be joined at one angle , so as to have their homologous sides parallel to one another** ; their remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have two sides... | |
| Euclides - 1853 - 178 Seiten
...Wherefore, in right-angled triangles, ¿c. QED PROPOSITION XXXII. — THEOREM. If tun triangles which liave **two sides of the one proportional to two sides of...as to have their homologous sides parallel to one** anotlier, the remaining sides shall be in a straight line. LET abС, d С e be two triangles which... | |
| Euclides - 1853 - 334 Seiten
...similarly situated with it. Which was to be proved. PEOP. XXXII. THEOE. If two triangles, which have **two sides of the one proportional to two sides of the other, be joined at** a common angular point so as to have their homologous sides in the proportion parallel : then their... | |
| Euclides - 1855 - 262 Seiten
...demonstration or confirmation of that proposition. PROP. XXXII. THEOREM. If two triangles, which have **two sides of the one proportional to two sides of...joined at one angle, so as to have their homologous** sities parallel to one another and proceeding from their vertices in the same direction ; the remaining... | |
| Euclides - 1855 - 230 Seiten
...proportional. If two triangles have two sides in the one proportional to two sides in the other, And **be joined at one angle so as to have their homologous sides parallel to one another.** Or have the angles opposite to one pair of the homologous sides equal; and those opposite to the other... | |
| 1857 - 488 Seiten
...have those angles equal which are opposite to the homologous sides. 10. If two triangles which have **two sides of the one proportional to two sides of...; the remaining sides shall be in a straight line.** 11. If AB CD be a parallelogram, and P and Q two points in a line parallel to AB, and if PA, QB meet... | |
| Robert Potts - 1860 - 380 Seiten
...Wherefore, in right-angled triangles, &c. QED PROPOSITION XXXII. THEOREM. If two triangles which have **two sides of the one proportional to two sides of...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... | |
| Eucleides - 1860 - 396 Seiten
...proportional. If two triangles have two sides in the one proportional to two sides in the other, And **be joined at one angle so as to have their homologous sides parallel to one another.** Or have the angles opposite to one pair of the homologous sides equal ; and those opposite to the other... | |
| Euclides - 1860 - 288 Seiten
...similarly described figures on BA and AC (V. B). PBOPOSITION XXXII. THEOREM. If two triangles, which have **two sides of the one proportional to two sides of the other,** can be joined at one angle, so as to have their homologous sides parallel to one another, the remaining... | |
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