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 Books Bücher To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. The first six books of the Elements of Euclid, with numerous exercises - Seite 42
von Euclides - 1853 - 147 Seiten
Vollansicht - Über dieses Buch ## Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 Seiten
...+ sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — To divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given st. line. On AB describe the...
Vollansicht - Über dieses Buch ## Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 Seiten
...approximately the thickness of the shell. II.— EUCLID AND TRIGONOMETRY. 1. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. 2. Describe a square that...
Vollansicht - Über dieses Buch ## Annual Report of the Chief Superintendent of Education

1891
...be equal to a given triangle, and have one of its angles equal to a given angle. 4. Divide a given line into two parts, so that the rectangle contained by the whole and one of the parts shall lie equal to the square of the other part. 5. Find a line the square of which shall be equal to the...
Vollansicht - Über dieses Buch ## Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 Seiten
...their squares may equal a given square, and their rectangle, a given rectangle. 19. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. 20. Divide a given line into...
Vollansicht - Über dieses Buch ## The Educational Record of the Province of Quebec: The Medium ..., Band 11

1891
...that part together with the square on the other part. Prove this proposition. 8. Divide a straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 9. If a straight line be divided into any two parts,...
Vollansicht - Über dieses Buch ## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 Seiten
...of the square on the line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular...
Vollansicht - Über dieses Buch ## A Higher Algebra

George Albert Wentworth - 1891 - 521 Seiten
...area of which would be doubled by increasing its radius by 1 inch. 14. Divide a line 20 inches long into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 16. A can do some work in 9 hours less time than...
Vollansicht - Über dieses Buch ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 Seiten
...on half their sum and on half their difference. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given straight line. It is required...
Vollansicht - Über dieses Buch ## A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Bücher 2

...line bisected, and on the line made up of the half and the part produced. 11. To divide a straight line into two parts so that the rectangle contained by the whole line and one part shall be equal to the square on the other part. 12. In an obtuse-angled triangle,...
Vollansicht - Über dieses Buch ## The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 167 Seiten
...drawn, etc. QEF Example. Divide a given straight line into any given number (say five) of equal parts. Let AB be the given straight line ; it is required to divide AB into five equal parts. Construction. From A draw a line AC making an angle of about half a right...
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