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" From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line. "
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... - Σελίδα 113
των Horatio Nelson Robinson - 1865 - 444 σελίδες
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A New Treatise on Surveying and Navigation, Theoretical and Practical: With ...

Horatio Nelson Robinson - 1878 - 564 σελίδες
...arc, cutting the other arc in G, and join AG ,' OAF will be the angle required. Proof, (th. 5, b. 3). PROBLEM VI. From, a given point, to draw a line parallel to a given line. Let A be the given point, and CB the ^_ " given line. Draw AB, making an angle, ABC '/ and from the given point A, in the line AB,...

Elements of Descriptive Geometry

J. B. Millar - 1878 - 264 σελίδες
...required. PROBLEM XXVI. Figs. 55 and 56. From a given point to draw a line to make a given angle with a given line. Let A be the given point and BC the given line ; it is required to draw from A a line to make a given angle 6 with BC. Construction. Find the traces...

Elements of Plane Geometry, Μέρος 1

Thomas Hunter - 1878 - 142 σελίδες
...equilateral. PROPOSITION II.—PROBLEM. From a given fyoint to draw a straight line equal to a given straight line. Let A be the given point and BC the given line; it is required to draw from the point A a straight line equal to BC. point F as centre, and with the...

A Manual of Topographical Drawing

Richard Somers Smith - 1879 - 124 σελίδες
...PD AP, PD AP or — GB ~ AG PK ~ AP - BR. whence „_ PK xAP 10.5 x 8 .,, PD = PKOBLEM YII. Through a given point to draw a line parallel to a given line. Let AB (Fig. 56) be the given line, and C the given point. If the projection and scale of slope of the...

Practical plane geometry and projection. [2 issues].

Henry Angel - 1880 - 360 σελίδες
...of each of the two given lines. If so, they do meet at the height determined. PROBLEM CCLIX. Through a given point <-, to draw a line parallel to a given line db. (Fig. 175.) The projecting planes of parallel lines are themselves parallel, hence their intersections...

Essentials of Geometry

Alfred Hix Welsh - 1883 - 326 σελίδες
...C G. GCH is the required angle. For, EF — GH; .-. EF = GH; .: GCH = A. QEF PROBLEM VIII. Through a given point, to draw a line parallel to a given line. Let C be the given point, and AB the given line. E / Through C draw any straight line, as ED; at the point...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884 - 182 σελίδες
...25. PROPOSITION II. — PROBLEM. From a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given line. It is required to draw from A a straight line equal to BC. Join AB ; (Post. 1) upon AB describe the...

Text-book on practical solid or descriptive geometry, Μέρος 1

David Allan Low - 1884 - 142 σελίδες
...+ <j> = 90C the projections of the line are perpendicular to the ground line. PfiOBLEM 27. Through a given point to draw a line parallel to a given line. The projections of the required line must pass through the projections of the given point ; and since...

A Manual of Topographical Drawing

Richard Somers Smith - 1885 - 186 σελίδες
...since the reference of D is zero, whence, PD = Z = - = 8x^f = 25.45 yards. S 1.1 PROBLEM 5. Through a given point to draw a line parallel to a given line. It is evident, from the definitions already given, that two lines will be parallel when their projections...

The Elements of Geometry

George Bruce Halsted - 1885 - 389 σελίδες
...113, that either of these suppositions makes also the alternate angles equal. PROBLEM IX. 167. Through a given point, to draw a line parallel to a given line. GIVEN, a fine AB and a point P. REQUIRED, to draw a line through P || AB (using || for the words "parallel...




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