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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 26
by John Playfair - 1855 - 317 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...parts by the ftraight J^ JJ lines AC, BD ; AC, BD are alfo equal and parallel. Join BC, and becaufe AB is parallel to CD, and BC meets them ; the alternate angles ABC , BCD CD a. a9. i. are equal • ; and becaufe AB is equal to CD, and BC common to the two triangles ABC,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...angles of the figure are equal to one another; and the diameter BC bifects it. Becaufe AB is paiallel to CD, ^ £ and BC meets them, the alternate angles ABC, BCD are equal " to one another ; and becaufe AC is parallel to BD, and BC meets them, the alternate angles ACB, CBD,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...oppofite fides and angles of the figure are equal to one another ; and the diameter BC bifeets it. Becaufe AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal * to . ^ a. *ar one another, and becauie AC is **, parallel to BD, and BC meets them, the alternate...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...fides and angles of the figure are equal to one another ; and the diameter BC bifects it. Becaafe A3 is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal * to one another ; and becaufe AC is parallel to BD, and BC meets them, the alternate angles ACB, CBD...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...fame parts by the ftraight lines AC, BD ; AC, BD are alfo equal and parallel. Join BC ; and becaufe AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal a : and becaufe AB is equal to CD, and BC common to the two triangles ABC, DCB, the two fides AB, BC...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...parts by the ftraight A lines AC, BD ; AC, BD are alfo ^~ equal and parallel. Join BC, and becaufe AB is parallel to CD, and BC meets them ; the alternate angles ABC, BCD are equal a; and becaufe AB is equal to CD, and BC common to the two triangles ABC, DCB,.the two fides AB, BC...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...oppofite fides and angles of the figure are equal to one another ; and the diameter BC bifefts it. Becaufe AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal * to one another ; and be- ^ ^^ \ a 29. t. caufe AC is parallel to BD, and BC meets them, the alternate...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. A. Let AB, CD be equal and parallel straight lines, and...BC ; and because AB is parallel to CD, and BC meets a 29. 1. them, the alternate angles ABC, BCD are equal"; andfcecause AB is equal to CD, and BC common...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...XXXIII. THEOR. THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...29. 1. b4.1. 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 p*rallel straight lines, and joined towards the same parts by the straight lines AC, BD ; AC, BD are...
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