 | War office - 1861 - 714 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 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 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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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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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 have their homologous sides parallel to one another, the remaining sides shall be in a straight line. Let... 
