 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.  The Element of Geometry - Page 25by John Playfair - 1836 - 114 pagesFull view - About this book
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...parts answer to the description given of them in the enunciation. PBOPOSITION V. If a right line be divided into two equal parts, and also into two unequal...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... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...diameter of it square, are likewise squares. ,7\ V. — If a straight line be divided into two equal, and also into two unequal parts ; the rectangle contained...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 pages
...triangles and its area found. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two unequal...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 pages
...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... | |
 | Edward Atkins - 1874 - 426 pages
...about the diameter of a square are likewise squares. Proposition 5. — Theorem. If a straight line be divided into two equal parts, and also into two unequal...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... | |
 | Euclides - 1874 - 120 pages
...on a line is four times the square on half the line. PROPOSITION 5. THEOREM. If a straight line be divided into two equal parts and also into two unequal...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... | |
 | Euclides - 1874 - 342 pages
...about the diameter of a square are likewise squares. PROPOSITION 5. — Theorem. If a straight line be divided into two equal parts, and also into two unequal...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... | |
 | J T. Amner - 1878 - 226 pages
...the squares described on the sides which contain the right angle. Section 4. 1. If a straight line be divided into two equal parts and also into two unequal...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. Construct a rectangle... | |
 | Civil service - 1878 - 228 pages
...of opposite sides will trisect the other diagonal. 3. If a straight line be divided into two equal 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. Find the greatest... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...the squares on AC, CB together are least when C is the middle point of AB. 5. If a straight line be divided into two equal parts, and also into two unequal...section, is equal to the square of half the line. The difference between the squares on any two straight lines is equal to the rectangle contained by... | |
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