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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 [book 1-6, 11,12] with explanatory notes ... - Page 29
by Euclides - 1845
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Annual Report of the Commissioners ..., Volume 71

1905 - 614 pages
...given triangle, and have one of its angles equal to a given rectilineal angle. 5. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. SECTION B. 6. Find the length of the side of an isosceles triangle whose area is 48 square feet and...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...angles are not right angles. THEOREM 20. [Euclid I. 33.1 L (\- iv^vftf-rt' v.,.ij The straight lines which join the, ,extremities of two 'equal and parallel straight lines (towards the same parts\are themselves equal^ and parallel. AB Let AB and CD be equal and parallel straight lines ; and...
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The Ontario High School Geometry: Theoretical

Alexander H. McDougall - Geometry - 1910 - 316 pages
...from BA, CA respectively. Prove BE > CD. PARALLELOGRAMS THEOREM 19 Straight lines which join the ends of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Hypothesis. — AB, CD are = and ||. To prove that (1) AC = BD, (2)...
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The London University Calendar

London univ - 1874 - 778 pages
...the exterior angle is greater than either of the interior 1 opposite angles. 2. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. Prove this ; and explain the use of i lie words, " towards the same parts." 3. If two triangles have...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1893 - 814 pages
...the two interior angles on the same side together equal to two right angles. 8. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, ai-e themselves also equal and parallel. 9. Parallelograms upon the same base, and between the same...
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A First Course of Geometry

130 pages
...which join the ends which lie in the same direction of two equal and parallel straight lines are also equal and parallel. Let AB, CD be equal and parallel straight lines, the ends A, C being in _B the same direction ; / --,,---'"" / to prove that AC is equal and parallel...
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The Elements of Plane Geometry

Euclid - 1845 - 328 pages
...Straight lines which join the corresponding ends of two equal and parallel straight lines are also equal and parallel. Let AB, CD be equal and parallel straight lines, A, C being . corresponding ends ; B ,--•''/ to prove that AC is equal and parallel " / toBD. / Join...
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