 | University of Oxford - 1863 - 316 páginas
...square of the part of it produced are together double of the square of half the line bisected and of the square of the line made up of the half and the part produced. 10. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute... | |
 | McGill University - 1865 - 332 páginas
...equal to a given one. 2. If a line be bisected and produced, the rectangle under the whole line thus produced and the produced part, together with the...the line made up of the half and the produced part. 3. The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles.... | |
 | Euclides - 1865 - 402 páginas
...square of the part of it prodnced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part prodnced. (References— Prop. I. 5, 6, 11, 15, 29, 31, 32, 34, 46 Cor. 47.) Let the straight... | |
 | Henry Major - 1873 - 588 páginas
...square of the part of it produced, aro together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the... | |
 | 1876 - 610 páginas
...line thus produced and the part of it produced, together with the square of half the line bisected, is equal to the square of the line made up of the half and the part produced. 5. To describe a square which shall be equal to a given rectilineal figure. Euclid,... | |
 | Education Department,London - 1876 - 1010 páginas
...whole line thus produced, and the part produced, together with the square on half the line bisected, is equal to the square of the line made up of the half and part produced. Describe a rectangle equal to the difference of two given squares. 2. In obtuse-angled... | |
 | Edward Harri Mathews - 1879 - 94 páginas
...whole line thus produced, and the part produced, together with the square on half the line bisected, is equal to the square of the line made up of the half and part produced. ^ Describe a rectergle equal to the difference of two given squares. 2. In obtuse angled... | |
 | Isaac Sharpless - 1879 - 282 páginas
...produced and the part produced, together with the square of the line between the points of section, w 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, we have, adding DB* to the last equals,... | |
 | Sandhurst roy. military coll - 1880 - 68 páginas
...square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. 2. In a triangle ABC, if the side AB be produced to D, and AC to E, so that AD = twice... | |
 | Isaac Sharpless - 1882 - 286 páginas
...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, we have, adding DB1 to the last equals,... | |
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If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the... 
