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" To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD,... "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Σελίδα 72
των Euclides - 1874
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 σελίδες
...equal to a given rectilineal angle. (References— Prop. 1. 14, 29, 30, 42, 44 ; ax. 1,2; i. 34, def.) Let ABCD be the given rectilineal figure, and E the...parallelogram equal to ABCD, and having an angle equal to E. CONSTRUCTION Join AC, and describe the parallelogram FH equal to the triangle ABC, and having the angle...

Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 σελίδες
...equal to the triangle C, and has the angle ABM equal to the angle DQEF PROPOSITION 45.— PROBLEM. To describe a parallelogram equal to a given rectilineal...having an angle equal to a given rectilineal angle. (References— Prop. I. 14, 29, 30, 42, 44; ax. 1, 2; def. 35.) Sought. — It is required to describe...

Responsions

University of Oxford - 1863 - 316 σελίδες
...contained by the whole and each of the parts are together equal to the squares on the whole line. 6. Describe a parallelogram equal to a given rectilineal...having an angle equal to a given rectilineal angle. 7. Upon the same base, and on the same side of it, there cannot be two triangles that have their sides...

Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 σελίδες
...the triangle C, and having the angle ABM equal to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal...angle. It is required to describe a parallelogram that shall be equal to the figure ABCD, and having an angle equal to the given angle E, DFGL A HM Join...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 σελίδες
...the triangle C, and having the angle ABM equal to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal...angle. It is required to describe a parallelogram that shall be equal to the figure ABCD, and having an angle equal to the given angle E. DFGL A HM Join...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...the triangle C, and having the angle ABM equal to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal...angle. It is required to describe a parallelogram that shall be equal to the figure ABCD, and having an angle equal to the given angle E. _ KHM Join...

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 σελίδες
...equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Prop. 45. To describe a parallelogram equal to a given rectilineal...having an angle equal to a given rectilineal angle. Cor. To a given straight line, to apply a parallelogram, which shall have an angle equal to a given...

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

John Playfair - 1855 - 350 σελίδες
...figure, and laving an angle equal to a given twtilineal angle. ABCD be the given rectilineal figure, ami E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and bartag an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH equal to the triangle...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...equal to the triangle C, and having the angle ABM equal to the angle DQBF PROPOSITION 45. PROBLEM. To describe a parallelogram equal to a given rectilineal...parallelogram equal to ABCD, and having an angle equal to E. HM Join DB, and describe the parallelogram FH equal to the triangle ADB, and having the angle FKH equal...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...equal to tlie triangle C, and having the angle ABM equal to the angle DQEF PROPOSITION 45. PROBLEM. To describe a parallelogram equal to a given rectilineal...figure, and having an angle equal to a given rectilineal aiiffle. Let A BCD be the given rectilineal figure, and E the given rectilineal angle: it is required...




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