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" PROP. I. THEOR. If there oe two straight lines, one of which is divided into any number of parts; the rectangle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 50
by Euclides - 1841 - 351 pages
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848
...straight line at right angles to a given straight line from one extremity of the same. 3. If there be two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...together with the two complements, is called a gnomon. PROPOSITIONS. PROP. I. THEOREM. IP there be tvvo straight lines, one of which is divided into any number...undivided line, and the several parts of the divided line. PROP. II. THEOREM. If a straight line be divided into any two parts, the rectangles contained by the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pages
...are at the opposite angles of the parallelograms which make the gnomon." PROP. I. THEOB. If there be two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line. into any parts in the points D, E ; the rectangle contained by the straight lines A, BC is equal to...
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General Report on Public Instruction in the Bengal Presidency

Education - 1851
...straight line at right angles to a given straight line from ORC extremity of the same. 3. If there be two straight lines, one of which is divided into any...undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle is equal to the product of the base and its altitude. 4. The...
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Papers for the schoolmaster, Volume 3

1867
...the difference between the algebraical and geometrical uses of the term " rectangle " P If there be two straight lines, one of which is divided into any...contained by the two straight lines, is equal to the rectangle contained by the undivided line, and tho several parts of the divided line. 2. If a straight...
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The First Two Books of the Elements of Euclid ... with Additional Figures ...

Euclides - 1852
...exception of one of the parallelograms H about the diameter.] F,<*" BOOK IL PROP. T. THEOR. If there be two straight lines, one of which is divided into any...and the several parts of the divided line. Let A and EC be two straight lines ; and let BC be divided into any parts in the points D, E; the rectangle contained...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 147 pages
...angles of the parallelograms which make the gnomon. Ъ о k PROPOSITION I. — THEOREM. If there be two straight lines, one of which is divided into any...straight lines is equal to the rectangles contained by tlie undivided line, and the several parts of the divided line. LET a and b С be two straight lines...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...line be cut in extreme and mean ratio. If a straight line be divided into three parts. If there be two straight lines, one of which is divided into any number of parts. If two straight lines be each of them divided into any number of parts. If two straight lines be taken....
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - Science - 1854
...L— Tn-EOBEM. If there be two straight lines (A and В С), one of which (BC) is divided into miy number of parts, the rectangle contained by the two...contained by the undivided line and the several parts (BD, DE, &c.) of He divided line. From В draw В Г at right angles to В С,* andmakeBG=A. t Through...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 318 pages
...on a single one ; on a triple line nine times that on a single one, &c. PROP. I. THEOR. If there be two straight lines, one of which is divided into any...equal to the rectangles contained by the undivided liiie, and the several parts of the divided line. Let A and BC be two straight lines ; and let BC be...
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