Books Books 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 ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...parallels, and joined towards the same parts by the straight lines BE, CH : But straight B OF o lines which join the extremities of two equal and parallel straight lines towards the same parts, are themselves equal and parallel (1. 33) ; therefore EB, CH are both equal and parallel, and EBCH is a... ## The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 pages
...rt. /'. Wherefore, if the sides &c. — QED ' PROP. XXXIII. THEOR. GEN. ENUN. — The straight lines, which join the extremities of two equal and parallel straight lines towards the same parts, are themselves also equal and parallel. PAKT. ENUN. — Let AB, CD be = and || st. lines, and let them... ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...same direction, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel. PROP. XXXIV. THEOREM. The opposite sides and angles of parallelograms are equal to one another, and... ## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...and joined towards the same parts by the straight AB lines AC, BD; AC, BD are also equal and r parallel. \ Join BC ; and because AB is parallel to \---''''... ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1849 - 332 pages
...cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two equal and parallel...themselves equal and parallel. Let AB, CD, be equal and parallel'straight lines, and joined towards the same parts by the straight lines AC, BD; AC, BD are... ## Calcutta Review, Volume 16

India - 1851 - 590 pages
...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... ## Calcutta Review, Volume 16

India - 1851 - 580 pages
...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... ## The London University Calendar

London univ - 1852 - 358 pages
...than 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...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 pages
...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...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... 