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" THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. "
Geometry Without Axioms; Or the First Book of Euclid's Elements. With ... - Side 106
av Thomas Perronet Thompson - 1833 - 150 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 sider
...contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD.be equal and parallel straight lines, and joined towards...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...int. /_ s, all the ext. Zs=4rt. /.s. PROP. XXXII. THEOR. 33. iBu. TIie straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
....*. all the ext. £_ s= 4 rt. £_ s. PROP. XXXII. THEOR. 33. iKu. The straight lines which join the extremities of two equal and parallel straight lines to-wards the same parts, are also themselves equal and parallel. Let AB, CD, be = and || str. lines, joined towards the same parts...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...Wherefore, if the sides &c. — QED ' PROP. XXXIII. THEOR. GEN. ENUN. — The straight lines, which join the extremities of two equal and parallel straight lines towards the same parts, are themselves also equal and parallel. PAKT. ENUN. — Let AB, CD be = and || st. lines, and let them be joined towards...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 sider
...exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards...
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Papers for the schoolmaster, Volumer 1-6

...triangle is greater than the interior and opposite on the same straight line. 2. Straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallel. 3. The rectangle contained by the sum and difference of two lines, is equal to the difference of their...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...illustrated in the triangle and the square.] BOOK I. PROP. XXXHI. THEOR. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal (1.) and (2.) parallel. Let AB, CD be equal and parallel straight lines, and...
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The London University Calendar

London univ - 1852
...two sides of the triangle, but shall contain a greater angle. 6. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 7. Show that if from the right angle of a right-angled triangle...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...parallels, and joined towards the same parts by the straight lines be, С h. But straight lines which join equal and parallel straight lines towards the same parts, are themselves equal and parallel (i. 33) ; therefore eb, С h, are both equal and parallel, and eb С h is a parallelogram ; and it...
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