 | Edinburgh univ - 1871 - 392 σελίδες
...demonstration so as to bring out distinctly the property of straightness to which you appeal. tained by the whole and that part together with the square of the other part. 4. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...VII. THEOREM. If a straight line be dirided into any two parts, the squaret on the whole line and on one of the parts are equal to twice the rectangle...by the whole and that part together with the square on the other part. l» TM Let AB be divided into any two parts in C. Then imist *qq. on AB, BC= twice... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...line be divided into any two parts, the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square on the other part. The propositions required for the construction and proof in this proposition are... | |
 | Henry Major - 1873 - 588 σελίδες
...the square of CD. VII. — If a straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice...part, together with the square of the other part. Let AB be divided into any two parts in C. Then the squares of AB, BC, are equal to twice the rectangle... | |
 | University of Madras - 1873 - 436 σελίδες
...If a straight line be divided into any two parts, prove that the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. VI. From any point D in the side CA of a right-angled triangle ABC, of which C is... | |
 | Edward Atkins - 1874 - 428 σελίδες
...7.— Theorem. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C; PROPOSITIONS.... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...required. 1. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. 2. Describe a square that shall be equal to a given rectilineal figure. If a square... | |
 | Euclides - 1874 - 120 σελίδες
...7. THEOREM. If a straight line l>e divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any ' • two parts at the point C : the... | |
 | Euclides - 1874 - 342 σελίδες
...— Theorem. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...the whole and that part, together with the square on the other part. Let the straight line AB be divided into any two parts in the point C. Then the... | |
 | Henry Major - 1876 - 784 σελίδες
...triangle ARB, &c.) 2. If a straight line be divided into any two parts, the squares ou the whole line and one of the parts are equal to twice the rectangle...the whole and that part, together with the square on the other part. 1. Find the GCM of 24z* — 22x3 + 5 and 48.Z* + 16z2 — 15, and = 6} za; , , reduce... | |
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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... 
