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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 ... - Side 39
av Euclid, John Playfair - 1826 - 320 sider
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 sider
...equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. AB Let AB, CD be equal and parallel straight lines, and...; AC, BD are also equal and parallel. Join BC; and because AB is parallel to CD ; and BC meets them, the alternate angles ABC, BCD are equal (29. 1.);...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 sider
...angles. SECTIOX 4. Parallelograms. PROP. 21. (Eue. i. 33.) The straight lines which join the extremitie» of two equal and parallel straight lines towards the same parts, are likewise themselves equal and parallel. Let the straight lines AD, 13 С be equal -and parallel, and...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 168 sider
...right angle, it is a right angle. PROPOSITION XXXIV. THEOREM. — The straight lines which join t>>e extremities of two equal and parallel straight lines, towards the same parts, are themselves equal and parallel. Let AB, CD be two equal and parallel straight lines and joined towards...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 sider
...angles ; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. Let An, CD be equal and parallel straight lines, and joined...the same parts by the straight lines AC, BD : AC, BD shall he equal and parallel. Join BC : and because AB is parallel to CD, and BC meets them, the alternate...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 sider
...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...AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets CJ) them, the alternate angles ABC, BCD are equal;* and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...all the exterior angks are equal to four right angles" PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel straight...AC, BD are also equal and parallel. Join BC ; and because AB is ^ _— parallel to CD, and BC meets CJ) them, the alternate angles ABC, BCD are equal...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 sider
...equal to four 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...any rectilineal figure are to. gether equal to four right angles. XXXIII. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. XXXIV. The opposite sides and angles of a parallelogram are equal to one another, and the diameter...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 sider
...the contour of the polygon in more than two points. PROP. XXXIII. THEOR. / The straight lines which join the extremities of two equal and parallel straight...AC, BD are also equal and parallel. Join BC ; and because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal (29. 1.) ;...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...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...
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