 | Edinburgh univ - 1871 - 392 σελίδες
...things must be equal, in order that the triangles may be equal in every respect ? 3. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square of the foresaid part. 4. Equal straight lines in a circle are equally distant from the centre;... | |
 | Euclides - 1871 - 136 σελίδες
...Ex. The square on a straight line is equal to four times tlie square on half the line. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect.... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...straight line is equal to forr times the square on half the line. PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts together with the square on the aforesaid part. Let the st. line AB be divided into any two parts in C. Then must rect.... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...the same as the rectangles under the whole line BC and each of its parts. PBOPOSITION III. If a right line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained... | |
 | Henry Major - 1873 - 588 σελίδες
...AC, together with the rectangle AB, BC, is equal to the square of AB. III. — If a straight line lie divided into any two parts, the rectangle contained...rectangle contained by the two parts, together with the square of the aforesaid part. Let AB be divided into any two parts in the point C; then the rectangle... | |
 | Euclides - 1874 - 120 σελίδες
...ifm=a + b, shew that its symbolical expression is m? = am + bin. PROPOSITION 3. THEOREM. If a straight line be divided into any two parts, the rectangle...rectangle contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point C:... | |
 | Edward Atkins - 1874 - 428 σελίδες
...And;.= AB-AC+ AB-BC. AB-BC= BCa+ AC • BC. For AE=AD +CE. Proposition 3.— Theorem. If a straight line be divided into any two parts, the rectangle...by the whole and one of the parts is equal to the square on t/tnt part, together with the rectangle contained liy the two parts. Let the straight line... | |
 | Euclides - 1874 - 342 σελίδες
...&c. QED PROPOSITION 3. — Theorem. If a straight line be divided into any two parts, the rectangU contained by the whole and one of the parts is equal...rectangle contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C.... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...together with that contained by AB and BC. <^. E. D, PROP. III. — THEOREM. (Euc. II. 3.) If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts, is equal to the square of that part, together with the rectangle contained... | |
 | Edward Atkins - 1874 - 426 σελίδες
...Proposition 3. — Theorem. If a straight line be divided into any two parts, the rectangle contaiiied by the whole and one of the parts is equal to the square on t/iat part, together with the rectangle contained by the two parts. Let the straight line... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
