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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 ... - Σελίδα 39
των Euclid, John Playfair - 1826 - 320 σελίδες
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Calcutta Review, Τόμος 16

1851 - 580 σελίδες
...ot the next theorem. The theorem is that of Euclid, " Straight lines which join the extremities of equal and parallel straight lines towards the same parts, are also themselves equal and parallel ;" and the corollary is, " It is also plain that the opposite sides of a parallelogram are equal, for...

Calcutta Review, Τόμος 16

1851 - 590 σελίδες
...of the next theorem. The theorem is that of Euclid, " Straight lines which join the extremities of equal and parallel straight lines towards the same parts, are also themselves equal and parallel ;" and the corollary is, " It is also plain that the opposite sides of a parallelogram are equal, for...

The London University Calendar

London univ - 1852 - 358 σελίδες
...the other two sides of the triangle, but shall contain a greater angle. 6. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. 7. Show that if from the right angle of a right-angled triangle two straight lines be drawn, one perpendicular...

The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 σελίδες
...advantageously illustrated in the triangle and the square.] BOOK I. PROP. XXXHI. THEOR. The straight lines which join the extremities of two equal and parallel straight...towards the same parts, are also themselves equal (1.) and (2.) parallel. Let AB, CD be equal and parallel straight lines, and joined towards the same...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...exterior angles are equal to four right angles. " " \ PROPOSITION 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 par.illel to CD, and BC meets them, the alternate angles ABC, BCD are equal (29. i.)....

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...exterior angles are equal to four right angles. PROP. XXXIII. — THEOREM. The straight lines which join the extremities of two equal and parallel straight...lines AC, BD; AC, BD, are also equal and parallel. AB c Join BC; and because AB is parallel to CD, and BC meets them, (I. 29.) 1. The alternate angles...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 178 σελίδες
...parallel straight lines towards the sa/те parts are also tíiemsetves equal and parallel. LET ab, Сd be equal and parallel straight lines, and joined towards the same parts by the straight lines aС, bd; aС, bd are also equal and parallel. Join b 0 ; a,) id because ab is parallel to С d, an(lb...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...remaining angle of the other. Which was to be proved. PEOP. XXXIII. THEOE. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts shall be also themselves equal and parallel. Let AB, CD be two equal and parallel straight lines, and...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 σελίδες
...of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight...parts, are also themselves equal and parallel. Let the straight lines AС, BD join the two equal and parallel straight lines AB, С D towards the same...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 σελίδες
...a parallelogram of which, two sides are parallel to two sides of ABCD. 3. The straight lines which join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel. ferences in A', S 1 , C'. Shew that the sides of triangle A'SC' pass through the other points of intersection...




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