 | Edinburgh univ - 1871 - 392 pàgines
...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... | |
 | Civil service - 1871 - 264 pàgines
...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... | |
 | Euclides - 1871 - 136 pàgines
...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... | |
 | 1877 - 604 pàgines
...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... | |
 | Euclid, Charles Peter Mason - 1872 - 216 pàgines
...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... | |
 | Henry Major - 1873 - 588 pàgines
...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... | |
 | Braithwaite Arnett - 1874 - 130 pàgines
...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... | |
 | Royal College of Surgeons of England - 1874 - 36 pàgines
...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... | |
 | 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... | |
 | 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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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. 
