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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. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 39
by Euclid, John Playfair - 1826 - 320 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
...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 straight...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
...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 straight...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
...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 straight...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
...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 straight...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
...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 straight...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
...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 straight...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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 straight...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
...exterior angles are equal to four right angles. Propontwn XXXIII. Theorem. The straight lines which join the extremities of two equal and parallel straight...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 Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...the triangle ADC, the diameter of course bisects it. Therefore, &c. QED Cor. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. PROP. XV. THEOREM. Parallelograms upon the same base, and between the same parallels, are equivalent....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...equal to four right angles. PROP. XXXIIL THEOR. The straight lines which join the extremities of IIKO equal and parallel straight lines towards the same...equal and parallel. Let AB, CD be equal and parallel AB straight lines, and joined towards the same parts by the straight lines AC, BD : AC, BD shall be...
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