 | Euclid, Thomas Tate - 1849 - 120 σελίδες
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and that part, together with... | |
 | Great Britain. Committee on Education - 1850 - 790 σελίδες
...the squares of the two parts, together with twice the rectangle contained hy the parts. 2. Show that if a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with... | |
 | 1851 - 268 σελίδες
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts,...part, together with the square of the other part. SECTION II. 1. If in a circle two straight lines cut one another, which do not both pass through the... | |
 | 582 σελίδες
...Student*. 1. Parallelograms upon the same base and between the same parallels are equal to one another, 2. If a straight line be divided into any two parts, the squares of the whol« line, and of one of the parts, are equal to twice the rectangle contained by the whole and that... | |
 | Sir James Kay-Shuttleworth - 1853 - 554 σελίδες
...angle is equal to the sum of the squares described upon the sides which contain the right angle. 3. If a straight line be divided into any two parts,...part, together with the square of the other part. Section 2. 1. If in a circle two straight lines cut one another, which do not both pass through the... | |
 | Euclides - 1853 - 146 σελίδες
...square of CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOREM. If a straight line be divided into any two parts,...parts, are equal to twice the rectangle contained by tke whole and that part, together with the square of the other part. Let the straight line AB be divided... | |
 | Euclides - 1853 - 334 σελίδες
...CD. Which was to be proved. PEOP. VII. THEOE. If a straight line be divided into any two parts: then the squares of the whole line and of one of the parts shall be, equal to twice the rectangle contained by the whole line and that part, together with the... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...THEOREM. If a straight line (AB) be divided into any two parts (in C), the squares of the whole lint, and of one of the parts, are equal to twice the rectangle contained by the whole and Hunt part, together with the square of the other part: that is, AB2 + BC2=twice AB'BC + AC!. [See Diagram,... | |
 | Thomas Lund - 1854 - 520 σελίδες
...very elegant proof of the important Theorem in (43) may be given as follows :— 45. PROP. XXIII. Jf a straight line be divided into any two parts, the squares of the whole line and one of the parts are together equal to twice the rectangle contained by the whole and that part, together... | |
 | Euclides - 1855 - 270 σελίδες
...the rectangle AD.DB, and the square of С В is equal to the square of СD. Р B, O P. VII. THEOREM. If a straight line be divided into any two parts,...the straight line AB be divided into any two parts at the point С. The squares of AB and B С are equal to twice the д ев rectangle AB. B С, together... | |
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If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
