| Samuel H. Winter - 1872 - 226 pages
...I. To find the projections of a straight line passing through two given points ' . . . . . .19 II. **Through a given point to draw a straight line parallel to a given straight line** . . . . . .19 III. Given the projections of a straight line, to find its traces . . 20 IV. To find... | |
| Charles Davies - Geometry - 1872 - 464 pages
...bisected, the original arc or angle will be divided into eight equal parts ; and so on. PROBLEM VI. **Through a given point, to draw a straight line parallel to a given straight line.** shortest distance from A to BC, \ ^"^ \ Let A be a given point, and BC a given line. From the point... | |
| Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...this proposition we must be able : — 1. On a given straight line to describe a square. (I. 46.) 2. **Through a given point to draw a straight line parallel to a given straight line.** (I. 31.) Let AB be a right line divided into two parts at the point C. We have to show that the Q on... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...tlie 31st Proposition of Euclid's First Book. Ex. 1. To draw a straight line through a given point **parallel to a given straight line. Let A be the given point, and** BC be the given straight line. Suppose the problem to be effected, and EF to be the straight line required.... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...consequently also the angles 0 and A (10). PROPOSITION XXX.—PROBLEM. 75. Through a given point, to draw a **parallel to a given straight line. Let A be the given point, and** BC the given line. From any point B in BC draw the straight * line BAD through A. At the point A, by... | |
| W. Timbrell Pierce - Geometry, Descriptive - 1873 - 292 pages
...— If В A be produced to meet ba produced in i, t will be the horizontal trace of the line» 18. **Through a given point to draw a straight line parallel to a given** line. The projections of parallel lines are themselves parallel, as they are the intersections of the... | |
| Henry Major - Student teachers - 1873 - 588 pages
...alternate angles ; therefore AB is parallel to CD. XXXI. — To draw a straight line through a given point **parallel to a given straight line. Let A be the given point, and** BC the given straight line ; it is required to draw a straight line through the point A, parallel to... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...each of the halves AD, DB ; and thus, by successive suMivisioris, a, given angle or a given arc may he **divided into four equal parts, into eight, into sixteen,...line. "••-.... From A draw a straight line, Q** '"•--... ^ AE, to • any point, E, in C D. E Then draw AB, making the angle EAB equal to the angle... | |
| Benjamin Greenleaf - Geometry - 1875 - 204 pages
...to bisect. Draw the chord AB ; from the center C draw the line CD perpendicular to AB (Prob. III.); **it will bisect the arc ADB in the point D. For CD...given straight line. Let A be the given point, and A** — • U CD the given straight line. -"•-•-... AE, to any point, E, in C D. E From A draw a straight... | |
| Robert Potts - Geometry - 1876 - 446 pages
...between the sum of the squares on two given straight lines and the rectangle under these lines. 3. **Through a given point to draw a straight line parallel to a given straight line.** ?rom a given point in the circumference of a circle to draw a chord, when possible, that shall be bisected... | |
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