| War office - 1861 - 714 Seiten
...do not both pass through the centre, they do not bisect each other. 2. 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.** 3. Divide the length of a line expressed in inches by 3, subtract 12 from the quotient, and -^th of... | |
| Euclides - 1861 - 464 Seiten
...for their diameters. See Cor. 5 & fi Гг. 20, VI. PROP. 32. — THEOR. // two triangles which have **two sides of the one proportional to two sides of...to one another ; the remaining sides shall be in a** st. line. К A = L I'. Let ДS ABC, DCE have BA : AC = CD : DE; and let AB be || DC and AC || DE; n... | |
| Euclides - 1864 - 448 Seiten
...PROPOSITION XXXII. THEOREM. If two triangles which have two sides of the one proportional to two si 'hi <if **the other, be joined at one angle, so as to have their...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... | |
| Euclides - 1865 - 402 Seiten
...Wherefore, in right-angled triangles, &c QE D, PROP. XXXII.— THEOREM. If two triangles which have **two sides of the one proportional to two sides of...have their homologous sides parallel to one another** ; then the remaining sides shall be in a straight line. (References — Prop. i. 14, 29, 32; vi. 6.)... | |
| John Playfair - 1855 - 358 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 the other, be joined at one** angh, so as to have their homologous sides parallel to one another ; their remaining sides shall be... | |
| Euclid, Isaac Todhunter - 1867 - 424 Seiten
...Wherefore, in any right-angled triangle &c. QED PROPOSITION 32. 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** and DCE be two triangles, which have the two sides BA, AC proportional to the two sides CD, DE, namely,... | |
| Euclid, Isaac Todhunter - 1867 - 426 Seiten
...Wherefore, in any right-angled triangle &c. QED PROPOSITION 32. 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** and DCE be two triangles, which have the two sides BA, AC proportional to the two sides CD, DE, namely,... | |
| Robert Potts - 1868 - 434 Seiten
...PROPOSITION XXXII. THEOREM. // two triangles which have two sides of the one proportional to two tidet **of the other, be joined at one angle, so as to have their homologous** tidet parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two... | |
| Richard Wormell - 1868 - 286 Seiten
...similar. 4. Two triangles which have their sides proportional are similar. 5. Two triangles which have **two sides of the one proportional to two sides of the other,** and the included angles equal, are similar. 6. On a given straight line to construct a triangle similar... | |
| Richard Wormell - 1870 - 304 Seiten
...Two triangles which have their sides proportional are similar (§ 268). 59. Two triangles which have **two sides of the one proportional to two sides of the other,** and the included angles equal, are similar (§ 269). 60. The perpendicular from the vertex of a right-angled... | |
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