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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... "
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 232
von Euclides - 1874
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Examination papers used at the examinations for direct commissions [&c.].

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...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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.)...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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An Elementary Course of Plane Geometry

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...
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An Elementary Course of Plane Geometry

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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