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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 41
door John Playfair - 1855 - 318 pagina’s
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The Edinburgh university calendar

Edinburgh univ - 1871 - 392 pagina’s
...demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1871 - 264 pagina’s
...rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by...
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Elements of geometry, containing the first two (third and fourth ..., Deel 1

Euclides - 1871 - 136 pagina’s
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. JD K. S. Let the st. Hue AB be divided equally in C and unequally inZ>. Then must...
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The National Schoolmaster, Volumes 7-8

1877 - 604 pagina’s
...into two unequal parts, the rectangle contained by the unequal parts, together with the square on. the line between the points of section, is equal to the square on half the line. Algebra. a'ly'z - at'yz* x- + •tx + 2 i. Reduce to lowest terms - , . „ — and...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - 1872 - 216 pagina’s
...also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. For the construction employed we must be able — 1. On a given straight line to...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 pagina’s
...squares. ,7\ V. — If a straight line be divided into two equal, and also into two unequal parts ; the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Let AB be divided into two equal parts in the point C, and into two unequal parts in the point D : then...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pagina’s
...TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet, and the...
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The Examination papers set for the preliminary examination of candidates for ...

Royal College of Surgeons of England - 1874 - 36 pagina’s
...two right angles. 7. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together...square of the line between the points of section, shall be equal to the square of half the line. 8. Describe a square that shall be equal to a given...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pagina’s
...parts, together with the square on the part between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in C, and into two unequal pai.ts in D; it is required to prove that the rectangle contained by the two...
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The Madras University Calendar, Volume 1

University of Madras - 1874 - 502 pagina’s
...unequal parts, prove that the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. PART II. V. Divide a given straight line into two parts, so that the rectangle contained...
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