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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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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...three interior angles of every triangle are together equal to two right angles. 33. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. 34. The opposite sides and angles of a parallelogram are equal to one...
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The Educational Record of the Province of Quebec: The Medium ..., Volume 11

Education - 1891 - 442 pages
...sell each of the remainder to gain 10 per cent on the whole 1 Geometry. 1. The straight lines joining the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel. State the converse of this proposition. 2. Describe a parallelogram...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 1

James Andrew Blaikie, William Thomson - Geometry - 1891 - 154 pages
...rectilineal figure are together equal to four right angles. 33. The straight lines which join the ends of two equal and parallel straight lines; towards the same parts are themselves equal and parallel. 34. The opposite sides and opposite angles of a parallelogram are equal,...
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Yale Examination Papers

Yale University - 1892 - 200 pages
...straight line, a circumference can be made to pass, and but one. 1877. (EUCLID. ) 1. The straight lines which join the extremities of two equal and parallel...towards the same parts, are also themselves equal aud parallel. 2. To divide a given straight line into two parts, so that the rectangle contained by...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...opposite parts are called diagonals of the quadrilateral ABCD. EXAMPLES XXXVIII. 1. Prove that the lines which join the extremities of two equal and parallel straight lines towards opposite parts bisect each other. 2. If the straight lines which join the extremities of two equal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...equal to twice as many right angles as the figure has sid"'2 PROPOSITION 33. THEOREM. The straight Urns which join the extremities of two equal and parallel straight lines towards fhe same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines;...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...to twice as many right angles as the figure has sides. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...produced, the exterior angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel...same parts are also themselves equal and parallel. ABCD is a quadrilateral ; show that, if the four parallelograms BCDP, CDAQ, DABR, ABCS be completed,...
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Euclid, Book 1

Euclid, Rupert Deakin - Euclid's Elements - 1903 - 212 pages
...each of the angles ACD and ADC double the angle CAD. PROP. 33. — Theorem. — The straight lines which Join the extremities of two equal and parallel straight lines, towards the same parts, are themselves equal and parallel. Let AB and CD be two equal and parallel straight lines, and let them...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...magnitude of each angle of a regular polygon of n sides. PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are themselves equal and parallel. Let AB and CD be equal and parallel straight lines ; and let them be...
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