 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
 | Moffatt and Paige - 1881 - 176 pages
...that the squares on PM, CM are together equal to the square on the radius. 2. 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. What is the corresponding... | |
 | Education, Higher - 1884 - 538 pages
...between the same parallels, the parallelogram shall be double of the triangle. 13. 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. 14. If a point... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...AC.CB PROP. V. THEOREM. lj a straight line be divided into two equal parts, and alto into two tmeaua. parts • the rectangle contained by the unequal parts,...with the square of the line between the points of tectim (or division), is equal to the tquare of half the line. Let the straight line AB be dmded into... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...The difference of any two sides of a triangle is less than the third side. 3. 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. Show that (a+x)... | |
 | Education Ministry of - 1882 - 300 pages
...squares described on the sides which contain the right angle. SECTION IV. 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... | |
 | Education - 1882 - 676 pages
...the angles formed by these lines are altogether equal to four right angles. 2. 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. 3. If a straight... | |
 | Marianne Nops - 1882 - 278 pages
...their sum. Beet. AD, DB and sq. on CD = sq. on CB. EUCLID'S ENUNCIATION II. 5. 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. Cons. (Euclid's... | |
 | Education Ministry of - 1882 - 292 pages
...the corresponding proposition for obtuseangled triangles. SECTION IV. — 1. If a straight line be divided into two equal parts and also into two unequal...contained by the unequal parts, together with the Euclid, Algebra, and Mensuration. 209 square on the line between the points of section, is equal to... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...line be bisected and produced, the rectangle of the whole line thus produced and the part produced, together with the square of the line between the points of section, is equal to the square of the line made up of the half and the part produced. For, CD being bisected in B and produced in A,... | |
 | Education, Higher - 1882 - 498 pages
...straight line which shall be bisected in that point. 15. 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. 16. From two given... | |
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