 | Great Britain. Admiralty - 1846 - 128 páginas
...be + (a — &)«=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. any point; the rectangle contained by the whole line...of the straight line which is made up of the half line and the part produced. Let the str. line AB be bisected in C, and produced to D; then AD. DB +... | |
 | Euclid, John Playfair - 1846 - 334 páginas
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and the first-mentioned part. Let the straight line AB be divided into any two parts in the point... | |
 | Euclides - 1848 - 52 páginas
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. PROP. IX. THEOREM. If a straight line be divided into two equal, and also into... | |
 | Euclid, Thomas Tate - 1849 - 120 páginas
...triangle, above the less, being given, to construct the triangle. 34. To produce a given line, so that the rectangle contained by the whole line thus produced, and the part of it produc.ed, shall be equal to a given square. 35. From the obtuse angle of an obtuse-angled triangle, to draw a... | |
 | 1850 - 488 páginas
...line intercepted without the triangle between the perpendicular and the obtuse angle. 2. If a right line be bisected, and produced to any point; the rectangle...which is made up of the half and the part produced. SECTION IV. 1. If two circles cut each other they shall not have the same centre. '2. In equal circles,... | |
 | Great Britain. Committee on Education - 1850 - 790 páginas
...triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any point, the rectangle...which is made up of the half, and the part produced. 2. If a point be taken within a circle from which there tall more than two straight lines to the circumference,... | |
 | 1852 - 316 páginas
...equal to the squares described upon the sides which contain the right angle. 11. If a straight line bo bisected and produced to any point ; the rectangle contained by the whole line thus produced, together with the square of half the line bisected, is equal to the square of the straight line which... | |
 | Euclides - 1852 - 152 páginas
...equal to the rectangle contained by their sum and difference.] BOOK n. PROP. VI. THEOR. If a straight line be bisected, and produced to any point: the rectangle...together with the square of half the line bisected, is eqaul to the square of the straight line which is made up of the half and the part produced. Let the... | |
 | Euclides - 1853 - 146 páginas
...equal to the rectangle contained by theif sum and difference. PROP. VI. — THEOREM. If a. straight line be bisected, and produced to any point, the rectangle...half the line bisected, is equal to the square of tfie straight line which is made up of the half and the part produced. Let the straight line AB be... | |
 | Euclides - 1853 - 334 páginas
...was to be proved. PEOP. VI. THEOE. If a straight line be bisected, and produced to any point : then the rectangle contained by the whole line thus produced...it produced, together with the square of half the bisected line, shall be equal to the square of the line, which is made up of the half and the part... | |
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If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made... 
