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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. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Side 29
av Euclides - 1845
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...angles are equal to four right angles. B •. \ a 29. 1. >>4. 1. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD ; AC, BD arc also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets CD them,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. A. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...the~exterior angles are equal to four right angles. B \ PROP. XXXIII. THEOR. 29. 1. b4.1. THE straight lines which join the extremities of two equal and parallel...themselves equal and parallel. Let AB, CD be equal and p*rallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...interior angles of every triangle are equal to tiro right angles. Prop. XXXIII. Theor. The straight line» which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. Prop. XXXIV. Theor. The opposite sides and angles of parallelograms are equal to one another, and the...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. parallel straight lines, and join- AB Let AB, CD be equal and ed towards ' the same parts by ' " the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel...Let AB, CD be equal and parallel straight lines, and join- A ed towards the same parts by ' the straight lines AC, BD; AC, BD are also equal and parallel....
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD ; AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...therefore all the exterior angles are equal to four right angles. PROP. XXXITI. THEOR. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. B Let AB, CD, be equal and parallel straight lines, ard joined towards the same parts by the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 sider
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel...and parallel straight lines, and joined towards the sameparts by the straightlines AC, BD; AC, BD are also equal and parallel. Join BC; and because AB...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...all the exterior angles are equal to four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel...equal and parallel. Let AB, CD be equal and parallel л _ в. straight lines, and joined towards the '7 .s'\ •ame part« by the straight lines AC, \ ¿r...
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