 | Edinburgh Mathematical Society - 1887 - 316 σελίδες
...BF at K. Through K draw KL parallel to BA and meeting AE at L. AL is the straight line required. 8. From the greater of two given straight lines to cut off a part equal to the less, Euclid I. 3. See figures 11, 12, 13, 14, 15, 16. (a) Let the given straight lines AB and CD, of which... | |
 | H. Freeman Wood - 1888 - 412 σελίδες
...each of them equal to BG. And as things which are equal to the same thing are equal to one another, AL is equal to BC; wherefore, from the given point...been drawn, equal to the given straight line BC." Inspector Byde surveyed his handiwork with approbation, and added, most conscientiously, "QEF" He also... | |
 | Euclid - 1890 - 442 σελίδες
...compasses, is the line required. Euclid's solution will be found in the Appendix. Proposition 3. PROBLEM — From the greater of two given straight lines to cut off a part equal to the lesser. Let AB be the greater line, C the lesser. With A as centre, and at a dist. which = C, describe... | |
 | James Andrew Blaikie, William Thomson - 1891 - 154 σελίδες
...given straight line. 2. From a given point to draw a straight line equal to a given straight line. 3. From the greater of two given straight lines to cut off a part equal to the less. 4. If two sides and the contained angle of one triangle be respectively equal to two sides and the... | |
 | Rupert Deakin - 1891 - 102 σελίδες
...finite straight line. 2. From a given point to draw a straight line equal to a given straight line. 3. From the greater of two given straight lines to cut off a part equal to the less. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, and have... | |
 | Edinburgh Mathematical Society - 1893 - 352 σελίδες
...straight line. The problem may be solved with much less complication, namely, R, + R2 + 3C,-l-C2 I. 3. From the greater of two given straight lines to cut off a part equal to the less. * See Mascheroni's Geometria del compasso (1795). t See Proceedings of the Edinburgh Mathematical Society,... | |
 | Seymour Eaton - 1899 - 362 σελίδες
...circle ? 4. What definition is made use of in the proof of this proposition ? PROPOSITION 3. PROBLEM From the greater of two given straight lines to cut off a part equal to the less. It is required to cut off from AB a part equal to CD. Construction: From A draw AG equal to CD (Proposition... | |
 | Howard Whitley Eves - 1997 - 370 σελίδες
...finite straight line. 2. From a given point to draw a straight line equal to a given straight line. 3. From the greater of two given straight lines to cut off a part equal to the lesser. These three constructions are trivial with straightedge and modern compasses but require some... | |
 | Brian Lasater - 2008 - 600 σελίδες
...to the same thing are equal to one another. Therefore AL is equal to BC. THE LIGHT OF THE OCCIDENT Wherefore from the given point A a straight line AL...has been drawn equal to the given straight line BC. Proposition 5. Theorem The Bridge-of- Asses 1. Given that AABC is an isosceles triangle, and AB = AC.... | |
 | Edinburgh Mathematical Society - 1887 - 162 σελίδες
...BF at K. Through K draw KL parallel to BA and meeting AE at L. AL is the straight line required. 8. From the greater of two given straight lines to cut off a part equal to the less. Euclid I. 3. See figures 11, 12, 13, 14, 15, 16. (a) Let the given straight lines AB and CD, of which... | |
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BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC. 
