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" if a straight line," &c. QED PROP. XXIX. THEOR. See the Jf a straight line fall upon two parallel straight ti?isepropo- lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Página 26
por Euclid - 1835 - 513 páginas
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A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 páginas
...PROPOSITION 29. THEOREM. If a straight line fall on two parallel straight lines, then ic shall make the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle on the same side ; and also the two interior angles on the same side equal to two right...
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Annual Report of the Commissioners ..., Volumen71

1905 - 614 páginas
...greater angle has the greater side opposite to it. 3. If a straight line fall upon two parallel straight lines it makes the alternate angles equal to one another,...the same side together equal to two right angles. 4. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and...
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Annual Report of the Commissioners ..., Volumen70

1905 - 946 páginas
...one another ; (2) the exterior angle equal to the interior and remote upon the same side ; and (3) the two interior angles upon the same side together equal to two right angles. Prove. 3. Parallelograms on equal bases and between the same parallels are equal. 4. Prove that the...
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Annual Report of the Commissioners ..., Volumen73

1907 - 608 páginas
...exterior angle equal to the interior and remote, upon the same side of that line; and (2) if it make the interior angles upon the same side together equal to two right angles. 3. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1908 - 570 páginas
...these propositions in its practical bearing is : — " If a straight line fall on two parallel straight lines it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite angle on the same side, and also the two interior angles on the same side together equal to two right...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1908 - 556 páginas
...propositions in its practical bearing is: — "If a straight line fall on two parallel straight lines P " it makes the alternate angles equal to one another,...exterior angle equal to the interior and opposite angle on the same side, and also the two interior angles on the same side together equal to two right...
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A School Geometry, Partes1-4

Henry Sinclair Hall - 1908
...the interior opposite angle on the same side of the cutting line ; (iii) the two interior angles on the same side together equal to two right angles. Let the straight lines AB, CD be parallel, and let the straight line EGHF cut them. It is required to prove that (i)...
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Annual Report of the Department of Education of ..., Volumen4,Parte1911;Volumen6

Alberta. Department of Education - 1912
...are required. Values. 8 1. If a straight line fall on two parallel straight lines, then it shall make the alternate angles equal to one another, and the exterior angle equal to the interior opposite angle on the same side; and also the two interior angles on the same side together equal to...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volumen1

John William Norie, J. W. Saul - 1917 - 642 páginas
...is the triangle required. PROPOSITION If a straight line falling upon two other straight lines makes the exterior angle equal to the interior and opposite upon the same side of the line, or makes the interior angles upon the same side together equal to two right angles, the...
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Parliamentary Papers, Volumen40

Great Britain. Parliament. House of Commons - 1852 - 192 páginas
...straight line fall upon two parallel straight lines, it makes the alternate angles equal to each other : and the exterior angle equal to the interior and opposite...the same side together equal to two right angles. 3. To describe a square that shall be equal to a given rectilineal figure. SECTION IV. 1. In a circle...
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