 If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.  Elements of Plane Geometry - Page 64by Thomas Hunter - 1878 - 132 pagesFull view - About this book
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...xBCxCO. concise, than in ordinary language. The proposition, (Euc 4. 2,) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by involving... | |
 | Euclid - 1848 - 52 pages
...together with the square of the aforesaid part. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. COR. From the demonstration,... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...square of BC. If therefore a straight, &c. QED PROP. IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Upon AB describe... | |
 | Great Britain. Committee on Education - 1850 - 914 pages
...alternate angles equal. — Define parallel lines, and alternate angles. 3. If a line be cut into any two parts, the square of the whole line is equal to the squares of the parts, and twice the rectangle contained by the parts. — Show the same Algebraically.... | |
 | 1852 - 314 pages
...its angles equal to * Riven rectilineal angle. SECTION II. 1. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the paits. 2. If a straight... | |
 | University of Durham - Education, Higher - 1851 - 222 pages
...upon the same side of it are between the same parallels. 4. If a straight line be divided into any two parts, the square of the whole line is equal to the square of the parts together with twice the rectangle contained by the parts. 5. To divide a given... | |
 | Education - 1863 - 818 pages
...be equal to that intercepted between the second and third. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares on the two parts, together with twice the rectangle contained by the parts. Entrance Examination.... | |
 | Euclides - 1852 - 152 pages
...49. These added together make up 84.] BOOK n. PEOP. IV. THEOE. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts, Let the straight... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore a straight line, etc. QE n. PROPOSITION IV. THEOR. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight... | |
 | Euclides - 1853 - 146 pages
...BC. If, therefore, a straight line, &c. QED PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts. 3 Let the straight... | |
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