| 1885 - 608 pages
...tfteorem, corollary. 2. Prove that any two bides of a triangle are together greater than the third side. 3: **Draw a straight line through a given point, parallel to a given straight line.** 4. Show that the sum of the interior angles of any rectilineal figure together witli four right angles,... | |
| William Chauvenet - Geometry - 1887 - 331 pages
...consequently also the angles 0 and A. PROPOSITION XXIV.—PROBLEM. 63. Through a given point, to draw a **parallel to a given straight line. Let A be the given point, and BC** *> the given line. / x From any point B in BC draw the A/. \ E straight line BAD through A. At the... | |
| Canada. Department of the Interior - 1888 - 756 pages
...lines, make the alternate angles equal to each other, these two straight lines shall be parallel. 4. **Draw a straight line through a given point parallel to a given straight line.** 5. Show that if a straight line be divided into any two parts, the rectangles contained by the whole... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...members of a certain set which pass through the given point. (See Ex. 44. ) PROPOSITION 31. PROBLEM. **To draw a straight line through a given point parallel...given straight line. Let A be the given point and BC** the given st. line; it is required to draw through A a st. line || to BC. In BC take any point D and... | |
| Euclid - Geometry - 1890 - 442 pages
...since PQ, AB are AA ie DTR = altern. TRA. .-. CD and AB are II. Proposition 31. PROBLEM — To draw a **line through a given point parallel to a given straight line. Let** P be the given pt. ; AB the given st. line. £ PD Take any pt. Q in AB ; and J join PQ. / At the pt.... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...angles. 30. Straight lines which are parallel to the same straight line are parallel to one another. 31. **To draw a straight line through a given point parallel to a given straight line.** 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite... | |
| William Chauvenet - Geometry - 1891 - 342 pages
...arcs are equal, and consequently also the angles O and A. D / 63. Through a given point, to draw a **parallel to a given straight line. Let A be the given point, and** BO the given line. From any point B in BO draw the A/. 5 f straight line BAD through A. At the /'\... | |
| Thomas J. Foster - Coal mines and mining - 1891 - 456 pages
...the arc ADB, and bisect this as above. -P-1 A i — a Through a given point to draw a straight line **parallel to a given straight line.— Let A be the given point and** CD the given line. From A as a center, with a radius greater than the shortest distance from A to CD,... | |
| Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...left. SECTION IX. GEOMETRICAL DRAWING. (CONTINUED.) PARALLELS AND PARALLELOGRAMS. Proposition 31. 147. **To draw a straight line through a given point parallel...to a given straight line. Let A be the given point,** BC the given straight line ; it is required to draw through A a straight line parallel to BC. A BO... | |
| Euclid - Geometry - 1892 - 460 pages
...impossible. Therefore AB anil CD never meet; that is, they are parallel. K/ PROPOSITION 31. PROBLEM. **To draw a straight line through a given point parallel to a given straight line.** BA ho tho given point, and BC the given straight line. It is required to draw through A a straight... | |
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