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" 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 E iR. "
The Element of Geometry - Seite 13
von John Playfair - 1836 - 114 Seiten
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 Seiten
...angle AGK is equal to the angle GKD; (ax. 1) and they are alternate angles ; PROP. XXXI. — PROBLEM. To draw a straight line through a given point, parallel to a, given straight line. (Beferences — Prop. i. 23, 27.) Let A be the given point, and BC the given right line. It is required...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 532 Seiten
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Tlirough a given point, to draw a straight t parallel to a given straight line. , Let A be the given point, and A ~ С D the given straight line. From A draw a straight line, „ ""••• AE, to any point, E,...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 518 Seiten
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A -^ B CD the given straight line. ""•••..... From A draw a straight line, '""••.... _ AE,...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...through a given point, parallel to a given straight line. (References — Prop. I. 23, 27.) Given. — Let A be the given point, and BC the given straight line. Sought. — It is required to draw a straight line through the point A, parallel to BC. Construction....
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Responsions

University of Oxford - 1863 - 316 Seiten
...sides is a right angle. 6. Describe a square that shall be equal to a given rectilineal figure. 7. Draw a straight line through a given point parallel to a given straight line. 8. On the same base, and on the same side of it, there cannot be two triangles having their sides which...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 504 Seiten
...parts, into eight, into sixteen, &c. PROBLEM VII. 302. Through a given point, to draw a straight line parallel to a given straight line. Let A be the given point, and A ^ B CD the given straight line. '"--.... From A draw a straight line, ""--...„ AE, to any point,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 Seiten
...was required to be done. 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 .BCthe given straight line. It is required to draw from the point A, a straight line equal to BC. From...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...was required to be done. 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 J?Cthe given straight line. It is required to draw from the point A, a straight line equal to BC. From...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 Seiten
...is mentioned, as Prop. IV. PROPOSITION I. PROBLEM. FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line, it is required to draw from the point A a straight line equal to BC. From A as a centre, with a radiant equal to BC, describe...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...Straight lines which are parallel to the same straight line, are parallel to each other. Prop. 31. To draw a straight line through a given point parallel to a given straight line. Prop. 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and...
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