| Euclid, James Thomson - 1837 - 410 Seiten
...'29.) the angles B and D are equal, and likewise C and E. * PROP. VII. THEOR. IF two triangles have **two sides of the one proportional to two sides of the other** ; and if the angles opposite to one pair of the homologous sides be equal, and those opposite to the... | |
| Euclides - 1840 - 82 Seiten
...described figures upon the sides containing the right angle. PROP. XXXII. THEOR. 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 to each other, the remaining sides shall be in a straight line.... | |
| Euclides - 1840 - 192 Seiten
...together, that is, in a ratio of equality. PROP. XXXII. THEOR. If two triangles (ABC, DCE), having **two sides of the one proportional to two sides of the other** (AB : AC :: DC : DE), be joined at one angle, so that their homologous sides be parallel to each other,... | |
| John Playfair - 1842 - 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...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... | |
| Euclid, James Thomson - 1845 - 382 Seiten
...angles B and E are equal. Therefore, if two triangles, &c.* PROP. VII. THEOR. — If two triangles have **two sides of the one proportional to two sides of the other** ; and if the angles opposite to one pair of the homologous sides be equal, and those opposite to the... | |
| Euclides - 1846 - 292 Seiten
...Wherefore, In any right-angled triangle %c. Q. >•:. i>. PROP. XXXII. THEOR. 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.** o Let ABC, DOE be two triangles which have the twf> sides BA, AC proportional to the two CD, DE, viz.... | |
| Euclid, John Playfair - 1846 - 334 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...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... | |
| Dennis M'Curdy - 1846 - 166 Seiten
...(4) p. 4, 6 : (c) cor. p. 19, 6 ; (d)p. B, 5; (e)p.24, 5; (/)p. A, 5. 32 Th. If two triangles, having **two sides of the one proportional to two sides of...angle, so as to have their homologous sides parallel to** each other; their third sides shall be in one straight line. Given two triangles ABC, DCE, joined at... | |
| Dennis M'Curdy - 1846 - 168 Seiten
...8, 6 ; (4) p. 4, 6 : (c) cor. p. 19, 6 ; . B,5; (c)p.24,5; ,(/)pA,5. 32 Th. If two triangles, having **two sides of the one proportional to two sides of...other, be joined at one angle, so as to have their** hpmologous sides parallel to each other; their third sides shall be in one straight line. Given two... | |
| Thomas Gaskin - 1847 - 301 Seiten
...— . 6 = 3 sin — . 4 4 ST JOHN'S COLLEGE. DEC. 1837. (No. VIII.) 1. IF two triangles which have **two sides of the one proportional to two sides of...; the remaining sides shall be in a straight line.** 2. If a solid angle be contained by three plane angles, any two of them are greater than the third.... | |
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