| Euclides - Geometry - 1853 - 178 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... | |
| John Playfair - Geometry - 1855 - 334 pages
...drawn at pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...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
...angles formed at the points of meeting, are together equal to four right angles. PROP. XXXIII. THEOREM. The straight lines which join the extremities of two...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
...in c, d. Shew that 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...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
...triangle, from any point in the line bisecting the angle between them, are equal to each other. 4. The straight lines which join the extremities of two...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,... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...third. Shew that the two circles made use of in the construction must necessarily cut each other. 4. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are themselves equal and parallel. What parallelograms have their diagonals equal ? 6. If a straight line... | |
| Euclides - 1856 - 168 pages
...respectively to the angles of the other to which the equal sides are opposite. XXXV.— EUCLID I. 33. The straight lines which join the extremities of two...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... | |
| War office - 1858 - 578 pages
...another upon one side 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...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
...exceeds the numerator by 3, and which is equal to ^ when 2 is added to the denominator. EUCLID. 1. The straight lines which join the extremities of two...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
...exterior angles of the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two...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,... | |
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