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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. "
Civil service guide - Σελίδα 170
των Robert Johnston (F.R.G.S.) - 1869 - 178 σελίδες
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...have one of its angles equal to a given rectilineal Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It...

The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Βιβλίο 1

Euclides - 1853 - 334 σελίδες
...the remaining complement FEKD. Which was to be proved. PEOP. XLIV. PEOB. 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 angle. Let AB be the given straight line, c the given triangle, and D the given angle. It is required...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 178 σελίδες
...Therefore, if a parallelogram, <fee. QED PROPOSITION 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. LET abС be the given triangle, and d the given rectilineal angle. It is required to describe a parallelogram...

The Elements of Euclid: With Many Additional Propositions ..., Μέρος 1

Euclid - 1853 - 176 σελίδες
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), and have one of its angles equal to a given rectilineal angle (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle...

National Society's Monthly Paper

1855 - 264 σελίδες
...at one extremity of the ba sides equal to the the base of the other. 3. To a given straight line to apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle. of the whole line is equal between the points of section. 3. To describe a square that shall be equal...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 σελίδες
...line, and of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 13. Describe a square that shall be equal to a given rectilineal figure. 14. If a point be taken within...

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

John Playfair - 1855 - 340 σελίδες
...remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelngram,which shall be equal to a given triangle, and have one of its angles ejual to a given rectilineal angle. Let AB he the given straight line, and C the given triangle, and...

Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 σελίδες
...Parallelograms upon the same base and between the same parallels are equal. 3. To a given straight line to apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 σελίδες
...exterior angle is greater than either of the interior opposite angles. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If a straight line be divided into two equal parts, and also into...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...and between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole...




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