| Euclides - 1865 - 402 pages
...AL has been drawn equal to the given straight line BC. Which was to be done. PROP. III.— PROBLEM. From the greater of two given straight lines to cut off a part equal to the leu. (References — Prop. I. 2 ; def. 15 ; post. S; ax. 1.) Let AB and C be the given straight lines,... | |
| Schools inquiry commission - Education - 1868 - 742 pages
...1. What is an acute angled triangle? 1" 2. Write out the following propositions of Euclid : — (1.) From the greater of two given straight lines to cut off a part equal to the less, BI, Prop. 3. (2.) To find the centre of a given circle, B. III., Prop. 1. 3. In BI, Prop. 9. To bisect... | |
| Euclides - 1871 - 136 pages
...remainder AL= remainder BG. Ax. 3. .: AL = BC. Ax. 1. Thus from pt. A a st. line AL has been drawn = BC. From the greater of two given straight lines to cut off a part equal to the less. Let AB be the greater of the two given st. lines AB, CD. It is required to cut off from AB a part = CD. Prom... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...parts of these, DA and /'/.'. are equal. .'. remainder AL = remainder BG. PROPOSITION III. PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB be the greater of the two given st. lines AJ3, CD. It is required to cut off from AB a part = CD. From... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...To describe a circle with a given centre and at a given distance from that centre. (Post. III.) 4. From the greater of two given straight lines to cut off a part equal to the less. (Prop. III.) To prove that the construction effects what is required we must know, — 1. That radii... | |
| Henry Major - Student teachers - 1873 - 580 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...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, the less. From A draw... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...the triangle is to be described. In this way Prop. I. is made more general, PKOP. III. — PROBLEM. From the greater of two given straight lines to cut off a part equal to the less. Let AB be the greater line and C the less; it is required to cut off from AB a part equal to C. From the centre... | |
| Euclides - 1874 - 120 pages
...figure of this proposition when the given point is in the given line produced. PROPOSITION 3. PROBLEM. From the greater of two given straight lines, to cut off a part equal to the less. A Let AB and C be the two given straight lines, ' • of which AB is the greater. It is required to... | |
| Edward Atkins - 1874 - 426 pages
...Therefore also BAC is a right angle (Ax. 1). Therefore, if the square, &c. QED EXERCISES. PROP. 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... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
....: AL=BC. Ax. 1. Thus from pt. A a st. line AL has been drawn =BC. O, EF PROPOSITION III. PROBLEM. From, the greater of two given straight lines to cut off a part equal to the less. Let ABbe the greater of the two given st. lines AB, CD. It is required to cut off from AB apart— CD.... | |
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