 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...  The Elements of Euclid - Page 34by Euclid - 1838 - 416 pagesFull view - About this book
 | Middle-class education - 1857 - 70 pages
...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, the...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 pages
...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 pages
...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, the...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 pages
...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, the...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 pages
...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 pages
...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 pages
...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, the...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... | |
 | Education - 1859 - 414 pages
...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.... | |
 | Euclides - 1860 - 288 pages
...mean distance. 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. Given the straight line AB, divided into any two parts in the point C ; to prove... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...VII. 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 ABbe divided into any two parts in the point C. Then the squares... | |
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