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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's Elements of geometry, books i. ii. iii. iv - Seite 33
von Euclides - 1862
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 Seiten
...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. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...right angles; therefore all the exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the extremities of two...same parts, are also themselves equal and parallel. Let AH, CD be equal and parallel A t, 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 ...

Euclides - 1841 - 378 Seiten
...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. Let AB, CD be equal and parallel straight lines, and joined towards the same parts by the straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 Seiten
...drawn at pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 Seiten
...angles together with twice as many right angles as there are re-entering angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...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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The British Annals of Education for ...: Being The Scholastic ..., Bände 1-2

1844 - 688 Seiten
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves equal and parallel. 5. Describe a square upon a given straight line. 6. If a straight...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 Seiten
...; therefore all the exterior angles are equal to four right angles. PROPOSITION XXXIII. THEOB. — The straight lines which join the extremities of two...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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 Seiten
...the figure are equal to four right angles, (ax. 2.) PROPOSITION XXXIII. THEOREM. The straight lints which join the extremities of two equal and parallel...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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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...an equilateral triangle on one of the lines containing the right angle. f PROP. XXXIII. THEOB. — The straight lines which join the extremities of two...and parallel straight lines, towards the same parts, f are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, which are...
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Mechanics for Practical Men

Alexander Jamieson - 1845 - 572 Seiten
...construction, CF is equal and parallel to AH, PB and AH to PE, CF is also equal and parallel to PE ; but straight lines which join the extremities of two equal...parallel straight lines towards the same parts, are themselves equal and parallel ; wherefore EF is equal and parallel to PC, and the figure PEFC is a...
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