 | Robert Potts - 1855 - 1050 pages
...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 equal...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 equal...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 equal...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 equal...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
...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 equal...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 equal...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 equal...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
...angles of a right-angled triangle are together equal to a right angle. PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities of two equal...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
...Esq, MA I. GEOMETRY. 1. 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...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 - 140 pages
...Therefore all the exterior angles are equal to four right angles, (ax. 3.) PROPOSITION 33.— THEOREM. The straight lines which join the extremities of two equal...same parts, are al-so themselves equal 'and parallel. (References— Prop. I. 4, 27, 29.) Hypothesis. — Let AB and CD he equal and parallel straight lines,... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
