 | Richard Wormell - 1876 - 268 pages
...line.f .. 84 2. From a given point to draw a straight line equal to a given stra1ght line. .. 28 3. From the greater of two given straight lines to cut off a part equal to the less. 28 7. Upon the same base and on the same side of it, there cannot be two triangles that have their... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...21. Ax. 3. Ax. 1. Thus from pt. A a st. line AL has been drawn = BC. 0. EF PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. 1.2. Ax. 1. Let AB be the greater of the two given st. lines AB, CD. Jt is required to cut off from... | |
 | Edward Atkins - 1876 - 130 pages
...BAC is a right angle (Ax. 1). Therefore, if the square, &c. QED EXERCISES ON BOOK IPROP. 1—15. 1. From the greater of two given straight lines to cut off a portion •Which is three times as long as the less. 2. The line bisecting the vertical angle of an... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...PROBLEM. From At greater of two given ttraigkt lines to cut off 'a part equal to the lea. Let AB and Cbe the two given straight lines, of which AB is the greater. It U required to cut off from ^2? the greater, a part equal to C, the less. From the point A draw the... | |
 | Henry Major - 1876 - 784 pages
...Account for his unpopularity, and mention the chief disputes in which he was engaged. Euclid. — 1. Prom the greater of two given straight lines to cut off a part eqnal to the less. What are the data and what are the qitcesita in this proposition ? 2. If two straight... | |
 | Euclides - 1877 - 58 pages
...extremity of a given straight line draw a straight line double of its length. PKOPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB and CD be the two given straight lines, of which AS is the greater ; it is required to cut off from AB... | |
 | Edward Atkins - 1877 - 72 pages
...a right angle (Ax. 1). Therefore, if the square, <kc. Q. E, D. EXERCISES ON BOOK IPKOP. 1—15. 1. From the greater of two given straight lines to cut off a portion which is three times as long as the less. 2. The line bisecting the vertical angle of an isosceles... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...since AE and BC are each equal to BG, they must be equal to each other. PROPOSITION III.—PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB and D be two given straight lines, of which AB is the greater; it is required to cut off from AB a part... | |
 | Stephen Thomas Hawtrey - 1878 - 202 pages
...greater to cut off a part equal to the less. Particular Enunciation. (See fig. p. 40.) Let AB and CL be two given straight lines, of which AB is the greater : — It is required from AB, the greater, to cut off a part equal to CL, the less. Construction. 1. From the point A draw... | |
 | Moffatt and Paige - 1879 - 428 pages
...been drawn equal to the given straight line B C. QEF Proposition III. Problem. From the greater of two 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 ; It is required to cut off from AB a part equal to C. From the point A draw... | |
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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. 
