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" To a given straight 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. "
The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Σελίδα 36
των Robert Simson - 1804
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 σελίδες
...any point, &c. PROP. XLIV. PROB. — To a given straight line to applyt a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let AB be a given straight line, C a given triangle, and D a given angle. It is requiredto apply...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...complements <J«, 4, EB PROP. XLIV. PROD. To a given straight 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, and C the given triangle, and D the given rectilineal angle : it is...

Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 166 σελίδες
...p. 34 ; (c) ax. 7. 42 P. To describe a parallelogram that shall be equal to a given triangle (ABC,) and have one of its angles equal to a given rectilineal angle (D). Bisect BC in E (a) ; join AE, and at the point E, in the straight line EC, make the angle CEF...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 σελίδες
...remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles ejuat to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 σελίδες
...demonstrate these Fig. 2. PROP. XLIV. PROB. To a given straight 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. PART. ENUN. — Let AB be the gn. st. line, c the gn. A, D the gn. rectilineal Z; then it is required...

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...bases and between the same parallels are equal to one another. 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. Prove that if the square described upon one of the sides of a triangle be equal to the squares described...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...parallelogram shall be double of the triangle. PROP. XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram,...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...complements, 8tc. QED PROP. XLIV. PROB. To a given straight 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, and c the given triangle, and D the given rectilineal angle. It is required...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850 - 790 σελίδες
...terminated at the other extremity. 2. To a given straight line to apply a ]>aral!t'logram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any point, the rectangle contained by...

Papers for the schoolmaster, Τόμος 3

1867 - 336 σελίδες
...two of its opposite sides parallel. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one...




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