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" At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 23
av Robert Simson - 1838 - 416 sider
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 172 sider
...the other, by ART. 6. This, &c. [See NOTE H.] In the common Euclids this problem is enounced thus: " At a given point in a given straight line to make...rectilineal angle equal to a given rectilineal angle." This is imperfect, the condition of the given right line forming one side of the required angle being...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...the Demonstration. 1. Prove that FK = A, 2. that GK = c, 3. that FG = a. PROPOSITION XXIII. Problem. At a given point in a given straight line to make...rectilineal angle equal to a given rectilineal angle. Proved by Proposition VIII. PROPOSITION XXIV. Theorem. If two triangles have two sides of the one equal...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...PROPOSITION XXXIU/ PROBLEM. - Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the given straight line...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 sider
...AF is to the base FH, so is the solid AV to the solid ED : wherefore a plane, &c. PROP. XXVI. PROB. AT a given point in a given straight line, to make a solid angle equal to a given solid angle contained by three plane angles. Let A be a given point in...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...FH, so is the solid AV to the solid ED. Wherefore, 5 ' if a parallelopiped, &c. QED PROP. XXVI. PROB. At a given point in a given straight line, to make a solid angle equal to a given solid angle contained by three plane angles, Let AB be a given straight...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 sider
...QED PROP. XXXIII. PROB. UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle : it is required to describe upon the given straight line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 sider
...J> PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle, Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the given straight line...
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An Epitome of Navigation and Nautical Astronomy with the Improved Lunar Tables

Janet Taylor - 1842 - 592 sider
...are c, and through с and D draw the straight line CD, and it will be parallel to лв. PROBLEM lI. At a given point in a given straight line to make a rectilinear angle equal to a given rectilinear angle. Let AB be the given line, and A the given point...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 sider
...to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles ejual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line...
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