 | Euclides - 1884 - 434 pages
...triangle on either side of AC, and producing its sides either beyond the base or through the vertex. From the greater of two given straight lines to cut...is the greater : it is required to cut off from AB a part = C. From A draw the straight line AD — C; I. 2 with centre A and radius AD, describe the... | |
 | Euclides - 1884 - 182 pages
...is concerned. It will be found to meet with frequent application. 26. PROPOSITION III. — PROBLEM. From the greater of two given straight lines to cut...lines, of which AB is the greater. It is required to out off from AB a part equal to C. From A draw the straight line AD equal to C ; (I. 2) and from the... | |
 | Stewart W. and co - 1884 - 272 pages
...from the given point A a straight line AL has been drawn equal to the given straight line BC. III. — From the greater of two given straight lines to cut...part equal to the less. Let AB and C be the two given /f' ~A. straight lines, whereof AB is the greater. L\ / \ It is required to cut off from AB a part... | |
 | Euclides - 1884 - 94 pages
...SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION III. From the greater of two given straight lines to cut off a part equal to the less. Let and be the two given straight lines, of which is the greater. It is required to cut off from , the... | |
 | Euclides - 1884 - 214 pages
...Magnitudes which are equal to the same magnitude are equal to one another. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. GIVEN that AB and CG are two straight lines, of which AB is the greater ; IT is REQUIRED TO CUT OFF... | |
 | Euclides - 1885 - 322 pages
...BE shall = C. For BE - BD, being radii of circle DEF. I. Def. 16 But BD = C; Const. .-. BE=CIAx.1 2. Let AB and C be the two given straight lines of which AB is the lesa. From A draw the straight line AD = C ; I.2 with centre A and radius AD describe the circle DEF,... | |
 | Education - 1885 - 630 pages
...the data and the qtuesita in this proposition. Euclid, Book I., Prop. 3. Data : — " Let AB and С be the two given straight lines, of which AB is the greater." Quasita:—" It is required to cut off from AB a part equal to CS 2. If two triangles have two angles... | |
 | Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...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... | |
 | Euclid - Geometry - 1890 - 442 pages
...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... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...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... | |
| |
From the greater of two given straight lines to cut off a part equal to the less. Let AB and C be the two given straight lines, whereof AB is the greater. 
