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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 in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 29
by Euclid - 1845 - 199 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...the exterior 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...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, the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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 - Geometry - 1810 - 554 pages
...therefore all 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...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 ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 pages
...right angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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 - Circle-squaring - 1819 - 350 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXITI. THEOR. The straight lines which join the extremities of two...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 - Geometry - 1821 - 514 pages
...right angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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 - Mathematics - 1825 - 1046 pages
...angles ; therefore 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. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...exterior angles are equal to four right angles. •t" PROP. XXXIII. THEOR. The straight lines whieh join the extremities of two equal and parallel straight...AC. BD are also equal and parallel. Join BC ; and beeause AB is pa- AB fiillal to CD, and BC mi4ets them, the alternate angles ABC. BCD are equal (29....
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