 THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.  Pure mathematics - Page 121by Edward Atkins - 1874Full view - About this book
 | Education Ministry of - 1880 - 238 pages
...any two of the given lines must be greater than the third? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and... | |
 | Oxford univ, local exams - 1880 - 396 pages
...contained by the whole and each of the parts, are together equal to the square on the whole line. 4. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. If a straight line be divided into any two parts, the sqTtares on the whole line and on one of the... | |
 | T S. Taylor - 1880 - 152 pages
...Second Repeat. — The enunciations of Euc. I. 4 ; I. 27; I. 29 ; and Axiom 2a. General*Enunciation. The straight lines which join the extremities of two equal...parallel straight lines towards the same parts, are themselves equal and parallel. Particular Enunciation. Given.— (a) The straight lines AB, CD, equal... | |
 | Education, Higher - 1881 - 504 pages
...; the base of that which has the greater angle shall be greater than the base of the other. 3. The straight lines which join the extremities of two equal...same parts are also themselves equal and parallel. If two straight lines join the extremities of two parallel straight lines, but not towards the same... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...formed at the points of meeting, nro together equal to four right angles. PRO?. XXXIII. THEOREM. The straight lines which join the extremities of two equal and parallel straight lines towards the tame parts, are also themselves equal and parallel. Let the straight lines AC, BD join the two equal... | |
 | Education Ministry of - 1882 - 292 pages
...any two of the given lines must be greater than the third ? 4. What are parallel straight lines ? The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and... | |
 | 1883 - 248 pages
...in BF take BD = given sum ; make ^DAC = .^ADC, and prove the triangle ABC is that required.) 2. The straight lines which join the extremities of two equal...same parts, are also themselves equal and parallel. (This is Euclid I., 33.) 3. The complements of the parallelograms, which are about the diameter of... | |
 | College of preceptors - 1882 - 528 pages
...? Prove the proposition of Euclid on which your answer is based. 3. Define parallel straight lines. Straight lines which join the extremities of two equal...parallel straight lines towards the same parts are themselves equal and parallel. State the converse proposition. Equilateral triangles are described... | |
 | Marianne Nops - 1882 - 278 pages
...angle contained by them equal to a given angle. LECTURE XIY. (PROPOSITIONS 33-34). 1. Prove that the straight lines which join the extremities of two equal and parallel straight lines towards opposite parts bisect each other. 2. The sum of the perpendiculars from an interior point in any parallelogram... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...with four right angles. B V PROPOSITION 83. THEOREM. The straight lines which join the extremitie* of two equal and parallel straight lines towards the...Let AB and CD be equal and parallel straight lines, and let them be joined towards the same parts by the straight lines AC and BD : AC and BD shall be... | |
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