| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...exterior angles are equal to four right angles. " " \ PROPOSITION XXXIII. THEOR. The straight lines **which join the extremities of two equal and parallel...towards the same parts by the straight lines AC, BD** ; AC, BD are also equal and parallel. Join BC ; and because AB is par.illel to CD, and BC meets them,... | |
| Euclides - 1853 - 176 pages
...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... | |
| Euclides - Geometry - 1853 - 334 pages
...to the 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... | |
| John Playfair - Geometry - 1855 - 336 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...parts, are also themselves equal and parallel. Let AB,** Cqjfce equal and parallel straight lines, and joined towards the same partsby the straight lines AC,... | |
| Euclides - 1855 - 262 pages
...points of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines **which join the extremities of two equal and parallel...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... | |
| Robert Potts - 1855 - 1050 pages
...abed is 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...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... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...point in the line bisecting the angle between them, are equal to each other. 4. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** 5. To describe a square upon a given straight line. 6. If a straight line be divided into any two parts,... | |
| Euclides - 1856 - 168 pages
...angles of the other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts are** themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...two circles made use of in the construction must necessarily cut each other. 4. The straight lines **which join the extremities of two equal and parallel straight lines towards the same parts, are** themselves equal and parallel. What parallelograms have their diagonals equal ? 6. If a straight line... | |
| War office - 1858 - 578 pages
...of it, are either two right angles, or are together equal to two right angles. 2. The straight lines **which join the extremities of two equal and parallel...same parts, are also themselves equal and parallel.** VOLUNTARY PORTION. 1. Describe an isosceles triangle having each of the angles at the base double of... | |
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