| John Playfair - Euclid's Elements - 1842 - 332 pages
...together 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...in a straight line. Let ABC, DCE be two triangles** which have two sides BA, AC proportional to the two CD, DE, viz. BA to AC, as CD to DE ; and let AB... | |
| Euclides - 1842 - 316 pages
...on BA, AC. Wherefore, in right-angled triangles, &c. QED PROP. XXXII. THEOR. IF two triangles, which **have two sides of the one proportional to two sides...have their homologous sides parallel to one another** : the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two... | |
| Euclid - Geometry - 1845 - 218 pages
...Wherefore, in right-angled triangles, &c. QED PROPOSITION XXXII. THEOR. — If two triangles, which **have two sides of the one proportional to two sides...have their homologous sides parallel to one another,** the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two sides... | |
| Euclides - 1845 - 546 pages
...A.) Wherefore, in right-angled triangles, &c. QED PROPOSITION XXXII. THEOREM. If two triangles which **have two sides of the one proportional to two sides...have their homologous sides parallel to one another** ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles which have the two... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...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... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...together 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...in a straight line. Let ABC, DCE be two triangles** which have two sides BA, AC proportional to the two CD, DE, viz. BA to AC, as CD to DE ; and let AB... | |
| Euclides - 1846 - 292 pages
...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...have their homologous sides parallel to one another,** the remaining sides shall be in a straight line. o Let ABC, DOE be two triangles which have the twf>... | |
| Dennis M'Curdy - Geometry - 1846 - 166 pages
...(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 - Geometry - 1846 - 168 pages
...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 - Geometry, Analytic - 1847 - 301 pages
...3 cos — . 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...have their homologous sides parallel to one another** ; the remaining sides shall be in a straight line. 2. If a solid angle be contained by three plane... | |
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