 | Euclides - Geometry - 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 - 1855 - 270 pages
...equal to four right angles. PROP. XXXIII. THEOREM. 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 the straight lines AС, BD join the two equal and parallel straight lines AB, С D towards the same... | |
 | Robert Potts - 1855 - 1050 pages
...two sides are parallel to two sides of ABCD. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the 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... | |
 | Euclides - 1856 - 168 pages
...parts are themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined towards the same parts by the straight lines...also equal and parallel. Join BC ; and because AB and CD are parallel the alternate angles ABC, BCD are equal ; and because AB is equal to CD, and BC... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...angle between them, are equal to each other. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the 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,... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...BD be also equal and parallel, and the figure will be a parallelogram. Draw the diagonal BC ; then, because AB is parallel to CD, and BC meets them, the alternate angles ABC, BCD are equal (Prop. XXIII). Also, because AB is equal to CD, and BC is common to the two triangles ABC, BCD, the... | |
 | War office - 1858 - 578 pages
...or are together equal to two right angles. 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. VOLUNTARY PORTION. 1. Describe an isosceles triangle having each of the angles at the base double of... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...when 2 is added to the denominator. EUCLID. 1. The straight lines which join the extremities of two equal and parallel straight lines towards the same parts are also themselves equal and parallel. 2. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the same...towards the same parts by the straight lines AC, BD. Then AC, BD shall be equal and parallel. Join BC. Then because AB is parallel to CD, and BC meets them,... | |
 | Euclides - 1860 - 288 pages
...to a right angle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. Given AB and CD, two equal and parallel straight lines, joined towards the eame parts by the straight... | |
| |
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... 
