 | 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...straight lines towards the same parts are themselves also equal and parallel. Let AB, CD (Fig. 28) be equal and parallel straight lines joined towards the... | |
 | 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...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... | |
 | 1857 - 408 pages
...triangle is greater than the interior and opposite on the same straight line. 2. Straight lines which join equal and parallel straight lines towards the same parts are themselves equal and parallel. 3. The rectangle contained by the sum and difference of two lines is equal to the difference of their... | |
 | 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...parallel straight lines towards the same parts, are also themselves equal and parallel. VOLUNTARY PORTION. 1. Describe an isosceles triangle having each... | |
 | 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...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... | |
 | 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...the same parts are themselves equal and parallel. 3. Every parallelogram having one angle a right angle has all its angles right angles. 4. (<z+6)3 =... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...all the exterior angles of the figure are equal to four right angles, (ax. 3.) PROPOSITION XXXIII. THEOREM. The straight lines which join the extremities...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... | |
 | Euclides - 1862 - 140 pages
...angles which are common. 6. Therefore all the exterior angles are equal to four right angles, (ax. 3.) PROPOSITION 33.— THEOREM. The straight lines which...parallel straight lines towards the same parts, are al-so themselves equal 'and parallel. (References— Prop. I. 4, 27, 29.) Hypothesis. — Let AB and... | |
 | Euclides - 1862 - 172 pages
...common ; therefore all the exterior angles are equal to four right angles, (ax. 3.) PROP. XXXIII.— THEOREM. The straight lines which join the extremities...parallel straight lines towards the same parts, are also themselves equal and parallel. (References— Prop. i. 4, 27, 29.) Let A I"., CD, be two equal... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...with the square on the line between the points of section, is equal to the square on half the line. 9. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. 10. Parallelograms on the same base, and between the same parallels,... | |
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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. 
