 | Edward Olney - Geometry - 1872 - 472 pages
...is at their intersection C. Hence FH coincides with and is equal to EC. QED EXERCISES. 1. Prob. — Through a given point to draw a line parallel to a given line, by the principle contained in PROP. I. of this section. Sue's. — Draw a straight line on the... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...construction employed we must be able — 1. On a given straight line to describe a square. (I. 46.) 2. Through a given point to draw a line parallel to a given right line. (I. 31.) We must also know, — 1. That if equals are added to equals, the sums are equal.... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...course the student will be required to do the work on the blackboard, gveaging at nothing.] 3. Prob. — Through a given point to draw a line parallel to a given line, upon the principle that the alternate angles made by a secant line are equal ( 132). 4. A bevel... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 pages
...arc cutting the arc FG. Draw A G. The angle A=C (III. 12; III. 11). PLANE GEOMETRY. PROBLEM VI. <"). Through a given point to draw a line parallel to a given straight line. Let С be the given point, and AB the given line. From С draw a line С D to А B ; at C in the line UC... | |
 | W. Timbrell Pierce - Geometry, Descriptive - 1873 - 292 pages
...already been explained in previous Articles we will leave the working of it out to the student. 35. Through a given point to draw a line parallel to a given plane and indined at a given angle to the horizontal plane (Fig. 3, Plate VIII.) — Let P be the given... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...transfer of distances by means of compasses. PROBLEM (/). From a given point to draw a straight line equal to a given straight line. Let C be the given point, and AB the given straight line. Join AC, and upon AC describe an equilateral A ; with centre A and radius AB describe... | |
 | Robert Griffith Hatfield - Architecture - 1874 - 452 pages
...radius, therefore, is equal to § of a quadrant ; and this is equal to a right angle. rig. :i';79. — Through a given point, to draw a line parallel to a given line. Let a, (Fig. 36,) be the given point, and bc the given line. Upon any point, as d, in the line,... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...Then, 168. Proposition XXXIX.— Problem. To draw through a given point a line parallel to a given line. Let C be the given point and AB the given line. Draw a straight line from C to any point of AB, as D. Construct the angle DCE equal to the angle CDB... | |
 | Woolwich roy. military acad - 1877 - 390 pages
...in D, and describe a semicircle on it, cutting AB in E. PE will be the perpendicular required. 10. Through a given point to draw a line parallel to a given line. Let AB (Fig. 6) be the given line and P the given point. From P draw PO perpendicular to AB.... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...and equal chords, and are, therefore, equal : hence the angles A and C are equal (G). xxv. Problem. Through a given point to draw a line parallel to a...straight line. Let C be the given point, and AB the given straight line. It is required to draw through C a . line parallel to AB. SOLUTION. Through C draw any... | |
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Through a given point to draw a line parallel to a given straight line. Let C be the given point, and AB the given line. From C draw a line CD to AB; at C in the line DC make an angle DCE equal to CDA (5); CE is parallel to AB (I. 
