 | 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... | |
 | 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... | |
 | Edward Atkins - 1874 - 428 σελίδες
...CB, is equal to the square on CD. Therefore, if a straight line, &c. QED Proposition 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 contained by the whole and... | |
 | Euclides - 1874 - 342 σελίδες
...is equal to the square on CD. Wherefore, if a straight line, &c. QET). PROPOSITION 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 contained by the whole... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...weighs G2-5 pounds. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). Logarithm books will not be 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 contained by the whole... | |
 | Richard Wormell - 1876 - 268 σελίδες
...line be divided into any two parts, the square on the whole line and one of the parts is equivalent to twice the rectangle contained by the whole and that part, together with the square on the other part. SECTION II. — The Theorem of Pythagoras. Enunciation. — " If squares are described... | |
 | Edward Atkins - 1876 - 130 σελίδες
...to the square on CD. Therefore, if a straight line, &c. Q. K D. = 2AB'BC Proposition 7.— Theorem. If a straight line be divided into any two parts, the squares en the whole line and on one of ike parts are equal to twice the rectangle contained by the wJuile... | |
 | Education Department,London - 1876 - 1010 σελίδες
...intersection together with four right angles are equal to all the interior angles of the polygon. 3. 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 contained by the whole... | |
 | Robert Potts - 1876 - 446 σελίδες
...opposite angle, and acute angle. (Take the case where the perpendicular falls within the triangle.) 5. If a straight line be divided into any two parts, the squares on the whole line, and one of the parts, are equal to twice the rectangle contained by the whole and... | |
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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... 
