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" 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 straight line: it is required to draw from the point A a straight line equal to BC. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 10
av Euclid, Robert Simson - 1838 - 416 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 311 sider
...Wherefore straight lines, &c. QED PROP. XXXI. PROB. 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 A draw a straight line jg through the point A, parallel to the straight line BC. g ^ In BC take any...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 sider
...into eight, into sixteen, and so ri" • PROBLEM VI. V...-- Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. 3 From the point A as a centre, with a radius greater than the shortest distance from A to BC,...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...line two equilateral triangles may be described one on each side of it. PROP. II. PROB. FUOM a given point to draw a straight line equal to a given straight...given straight line ; it is required to draw from A a straight line equal to BC. From the point A to B draw (I. post. 1.) the straight line AB; and upon...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...parallel to CD (I. 27). PROPOSITION XXXI. PROBLEM. 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 a straight line E > r In BC take any point D, and join AD ; and at the point A, in the straight line...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...triangle upon a !D given finite straight line. PROrOSITION II. \ ...H D "".... KAN Problem. From a given point to draw a straight line equal to a given straight line. Steps of the Demonstration. The 1st thing to be proved is that BG = B c, 2. that DL = DG, 3. that AL...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 1837 - 164 sider
...perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH. In the plane draw any straight line BC, and from the point A draw AD...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 sider
...perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH, it is required to draw from the point A a straight line perpendicular to the plane BH. In the plane draw any straight line BC, and from the point A draw (Prop....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...lines, &c. QED PROP. XXXI. PROS. To draw a straight line through a gieen point parallel to a gieen 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 the straight line BC. In BC take any point D, and...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...straight lines, &c. QED * ". l. PROP. XXXI. PROB. 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 a r A r straight line through the point A, ~/ parallel to the straight line BC. _ jf_ In BC take any...
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The Elements of Descriptive Geometry ...

Thomas Grainger Hall - 1841 - 100 sider
...perpendicular to a plane from a given point above it. Let A be the given point, BH the given plane; it is required to draw from the point A, a straight line _L to BH. In the plane draw any straight line BC, and from A draw AD a. to BC. Then if AD be also -i-...
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