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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 ... - Side 106
av Thomas Perronet Thompson - 1833 - 150 sider
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The Practical Teacher, Volum 3

1884
...angle, and AB is a given side. Л BCA is the triangle required. QEF 2. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. Prop. 33, Bk. I. 3. The complements of the parallelograms, which...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...the angle contained by the sides equal to them, of the other. 8. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts, are also themselves equal and parallel. 9. If a straight line !>e divided into two equal parts and also...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...other. Shew also that the two triangles are equal in all respects. 3. The straight lines which join the extremities of two equal and parallel straight lines...the same parts are themselves equal and parallel. Shew also that the straight lines which join the extremities towards opposite parts, bisect each other....
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 sider
...CBA + ACB = ACD + ACB, = two rt. As. Proposition 33. THEOREM — The straight lines which join the extremities of two equal and parallel straight lines,...parts, are themselves equal and parallel. Let AB, CD be equal and || st. lines ; AC, BD their joins towards the same parts. Join BC. Then in A8 ABC, DCS, we...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...angles of regular figures use Cor. II.) PROPOSITION 33. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines...same parts are themselves equal and parallel. Let AB and CD be equal and parallel st. lines, and let them be joined towards the same parts by the st. lines...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...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...the same parts are themselves equal and parallel. 34. The opposite sides and angles of a parallelogram are equal to one another, and the diameter bisects...
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The Educational Record of the Province of Quebec: The Medium ..., Volum 11

1891
...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...the same parts, are themselves equal and parallel. State the converse of this proposition. 2. Describe a parallelogram equal to a given rectilineal figure,...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Bok 1

James Andrew Blaikie, William Thomson - 1891
...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, and either diagonal bisects...
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The Foundations of Geometry

Edward Travers Dixon - 1891 - 143 sider
...Euclid, it is usual to commence by proving Euclid's proposition that 'the straight lines which join equal and parallel straight lines towards the same parts are themselves equal and parallel,' by it ; the above equation being in fact merely Euclid's proposition in vector language. It will be...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 167 sider
...of an equiangular polygon having n angles ? Proposition 33. 122. Two straight lines which join the extremities of two equal and parallel straight lines...parts are themselves equal and parallel. Let AB, CD represent two finite straight lines which are of equal lengths and parallel to each other, and let...
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