 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...  Middle-class education. 2 - Σελίδα 21των Middle-class education - 1857Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Great Britain. Committee on Education - 1850 - 790 σελίδες
...the whole line. 2. If a right line be divided into any two parte, the squares of the whole 1 ine and one of the parts, are equal to twice the rectangle contained by the whole and that part, together witli the square of the other part. 3. To describe a square that shall be equal to a given rectilineal... | |
 | 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
...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...part, together with the square of the other part. 3. The angles in the same segment of a circle are equal to one another. 4. Upon a given straight line-... | |
 | Euclides - 1852 - 152 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,...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C; the squares of AB, BC are equal... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...of CB, is equal to the square of CD. Wherefore if a straight line, &c. QED PROPOSITION VII. THEOR. If a straight line be divided into any two parts,...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal... | |
 | 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 - 176 σελίδες
...d Wherefore, if a straight line, &c. QED PROPOSITION VII. — THEOREM. If a straight Une be dvmded into any two parts, the squares of the whole line,...part, together with the square of the other part. LET the straight line ab be divided into any two parts in the point С ; the squares of ab, b С are... | |
 | 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... | |
 | Thomas Lund - 1854 - 520 σελίδες
...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...part, together with the square of the other part. With the same construction as in (44), and in the same manner it may be shewn, that BCGK, and HGFD,... | |
 | 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,... | |
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