 | John Playfair - 1856 - 346 σελίδες
...VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and . ^jgfone of the parts, are equal to twice the rectangle contained...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 to... | |
 | Euclides - 1856 - 168 σελίδες
...BC and BD together with twice the rectangle BC, BD ; that is (Prop. 49.), to the square of C D. LII. If a straight line be divided into any two parts,...squares of the whole line and of one of the parts is equal to twice the rectangle contained by the whole and that part together with the square of the... | |
 | Middle-class education - 1857 - 70 σελίδες
...proposition true of the angles of a triangle ? Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts,...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight... | |
 | James Wood - 1857 - 634 σελίδες
...Theory, for our present purpose: — Ex. 1. If a straight line be divided into any ttvo parts, ike squares of the whole line, and of one of the parts,...part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and 6 represent the two parts into which the given line is divided;... | |
 | War office - 1858 - 578 σελίδες
...quantity supplied only filled 152 sacks. How many sacks was the contractor bound to supply ? Euclid. 1. If a straight line be divided into any two parts,...part, together with the square of the other part. VOLUNTARY PORTION. 1. Define the sine and cosine of an angle or arc, and trace the signs and extreme... | |
 | sir Thomas Dyke Acland (11th bart.) - 1858 - 270 σελίδες
...proposition true of the angles of a triangle? Give reasons for your answer. 32. Prove geometrically that, if a straight line be divided into any two parts,...part, together with the square of the other part. 33. Prove the last proposition algebraically also. 34. If a straight line touch a circle, the straight... | |
 | Euclides - 1858 - 136 σελίδες
...and the limit of vision is 154*4 miles ; required the earth's diameter. PROP. VII. THEOR. If a st. line be divided into any two parts, the squares of...that part, together with the square of the other part CON. 46. I, Pst. 1. 31. I, DEM. 43. I, Ax. 2. 6, Def. 30. I, Cor. 4. II, Ax. H. 34. I. EXP. Соя.... | |
 | Euclides - 1858 - 248 σελίδες
...square equal to the difference of two given squares. 3. To divide a given line into two parts, such that the squares of the whole line and of one of the parts shall be equal to twice the square of the other part. 4. To divide a given line into two such parts... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...were 5 times the number of Scotch. How many were there of each nation in the regiment ? Euclid. 1. If a straight line be divided into any two parts,...that part together with the square of the other part. VOLUNTARY PORTION. 1. If two straight lines meeting one another be parallel to two others that meet... | |
 | 1859 - 414 σελίδες
...and CQ ; D the middle point of AB, show that for all positions of AB the distance CD is the'same. 6. If a straight line be divided into any two parts the...line and of one of the parts, are equal to twice the PA. C rectangle contained by the whole and that part, together with the square of the other part, 7.... | |
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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... 
