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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 ... - Page 106
by Thomas Perronet Thompson - 1833 - 150 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...exterior angks 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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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...right angles. SECTION 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight fc - lines AD, В С be equal and parallel,...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...bisects the parallelogram. The converse of this, that straight lines which join the extremities of equal and parallel straight lines towards the same parts, are themselves equal and parallel, follows, as a matter of course, from this equality of the opposite sides of a parallelogram. 2. If...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...bisects the parallelogram. The converse of this, that straight lines which join the extremities of equal and parallel straight lines towards the same parts, are themselves equal and parallel, follows, as a matter of course, from this equality of the opposite sides of a parallelogram. 2. If...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 472 pages
...rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. XXXIV. The opposite sides and angles of a parallelogram are equal...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...IV. ART. 19. Right lines which join the adjacent extremities of two equal and parallel right lines are themselves equal and parallel. Let AB, CD be two equal and parallel right lines, whose adjacent extremities are joined by the right lines AC, BD. Then AC, BD are also...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...parallels, and joined towards the same parts by the straight lines BE, CH : But straight lines which join equal and parallel straight lines towards the .same parts, are themselves equal and parallel (33. 1.) ; therefore EB, CH are both equal and parallel, and EBCH is a parallelogram ; and it is equal...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 240 pages
...angles are equal to four right angles. PROPOSITION 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. _Let AB, CD, be equal and parallel straight lines, and joined towards...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...exterior angles are equal to four ri^ht angles. 0 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 AH, CD be equal and parallel A t, straight lines, and joined...
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