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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. "
Easy Introduction to Mathematics - Σελίδα 247
των Charles Butler - 1814
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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...

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...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 σελίδες
...shall be greater than the base of the other. 3. 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. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal...

National Society's Monthly Paper

1855 - 264 σελίδες
...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 triangle, and have one 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...

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...

Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 σελίδες
...and between the same parallels are equal. 3. 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. 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 - 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...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 σελίδες
...equal to the given parallelogram KD. PROP. 44. — PROB. To a given line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. SOLUTION. — P. 42. To describe a parallelogram that shall be equal to a given triangle, and...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 σελίδες
...consisting of 540, 510, 480, 390, 360 men respectively? 8. Define a parallelogram. 118 STAFF COLLEGE. a given triangle and have one of its angles equal to a given rectilineal angle. If two finite straight lines intersect and bisect each other, the straight lines joining their extremities...

Skeleton propositions &c. of Euclid, books i and ii, with ..., Τόμος 1

Euclides - 1868 - 88 σελίδες
...Concl. 5 D. 2. 6 Recap. XLI. XLTI. . XLII. PRoB. To describe a parallelogram that shall be equal ti> a given triangle, and have one of its angles equal to a given rectilineal angle. I\ 10. Pst, 1. P. 23. 31. Def. A. DEM. P. 38. 41. Ax. G. Ezr 1 Data. 2 Quses. 1. „ 2. CoN. 1 P. 10....




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