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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 ... - Pàgina 56
per John Playfair - 1832 - 333 pàgines
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pàgines
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained...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 pàgines
...any triangle are together equal to two right angles. 7. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...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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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pàgines
...are likewise squares. PROPOSITION 5. — Theorem. 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 on the line between the points of section, is equal to the square on half the line. Let the straight...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pàgines
...square on half the line. PROPOSITION 5. THEOREM. 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 on the line between the points of section, is equal to the square on half the line. * Let the straight...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 pàgines
...are likewise squares. Proposition 5. — Theorem. 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 on the line between the pointg of section, is equal to the square on half the line. Let the straight...
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Elements of Euclid Adapted to Modern Methods in Geometry

Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pàgines
...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, Volum 1

University of Madras - 1874 - 502 pàgines
...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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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 pàgines
...into two unequal parts, the rectangle contained by the unequal parts, together with t/ie square on the line between the points of section, is equal to the square on half t/ie line. Let the straight line AB be bisected in C, and divided unequally in D ; AD • DB...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pàgines
...lines are altogether equal to four right angles. 2. 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 on the line between the points of section, is equal to the square on half the line. 3. If a straight...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pàgines
...numerically represented are 112,147, 84? SECTION III. 1. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together wit!» the square on the line between the points of section is equal to the square on h:ilf the line....
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