| Cambridge univ, exam. papers - 1856 - 200 pages
...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 straight...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
...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... | |
| Euclides - 1856 - 168 pages
...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... | |
| War office - 1858 - 578 pages
...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 straight...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
...3, and which is equal to ^ when 2 is added to the denominator. EUCLID. 1. The straight lines which **join the extremities of two equal and parallel straight...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
...figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which **join the extremities of two equal and parallel straight...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
...triangle are together equal to a right angle. PROPOSITION XXXIII. THEOREM. The straight lines which **join the extremities of two equal and parallel straight...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... | |
| Royal college of surgeons of England - 1860 - 332 pages
...From a given point to draw a straight line equal to a given straight line. 2. Straight lines which **join the extremities of two equal and parallel straight lines towards the same parts are** themselves equal and parallel. 3. Every parallelogram having one angle a right angle has all its angles... | |
| Euclides - 1862 - 172 pages
...angles are equal to four right angles, (ax. 3.) PROP. XXXIII.— THEOREM. The straight lines which **join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel.** (References— Prop. i. 4, 27, 29.) Let A I"., CD, be two equal and parallel straight lines, and joined... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...perpendicular let fall on it from the opposite angle, and the acute angle. 10. The straight lines which **join the extremities of two equal and parallel straight...same parts, are also themselves equal and parallel.** V. Algebra. 1. If x = 4, y = 3, z = i, n = 2, what is the value of (x1 -y')-(xy)' + n(xyz) ? Simplify... | |
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