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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1826 - 326 Seiten
...right angled triangles, &e. " "* " Q. E JD. • f ' PROP. XXXII. THEOR If two triangles, whieh 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 whieh have two sides...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 Seiten
...AC. Therefore in right-angled triangles, 8cc. QED PROPOSITION XXXII. THEOREM. 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; the remaining sides of those triangles shall be in one right...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 Seiten
...AC. Therefore in right-angled triangles, 8tc. QED PROPOSITION XXXII. THEOREM. 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; the remaining sides of those triangles shall be in one right...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 Seiten
...figures. Wherefore, in right angled triangles, &c. QED PROP. XXXII. THEOR. 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 hate their homologous sides parallel to one another ; their remaining sides shall be in a straight...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 Seiten
...triangles, &c. o. ED PROPOSITION XXXII. THEOR. — If two triangles, which have two sides of the one, See N. proportional to two sides of the other, be joined...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...together. Wherefore, " in right angled triangles," &c. QED PROP. XXXII. THEOR. If two triangles, which have two sides of the one proportional to two sides of...other, be joined at one angle, so as to have their liomologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 Seiten
...Cor. 20.6. PROP. XXXII. THEOR. If two triangles which have two sides of the one proportional to ttvo sides of 'the other, be joined at one angle, so as...straight line. Let ABC, DCE be two triangles which haTe two sides BA, AC proportional to the two CD, DE, viz. BA to AC, as CD to DE ; and let AB be parallel...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 Seiten
...similarly described figures upon the sides containing the right angle. XXXII. 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. XXXIII. In equal circles, angles, whether at the...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 Seiten
...similarly described figures on BA, AC (V. B). PROPOSITION XXXH. THEOREM. If two triangles, which have two sides of the one proportional to two sides of...two sides BA, AC, proportional to the two CD, DE, namely, BA to AC, as CD to DE ; and let AB be parallel to DC, and AC to DE ; BC and CE are in a straight...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 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...at one angle , so as to have their homologous sides pa-* rallel to one another ; their remaining sides shall be in a straight line. Let ABC, DCE be two...
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