 | Mathematics - 1836 - 488 pages
...reciprocally proportional to two sides of another, whet) one of the sides of the first is to one of the sides of the second, as the remaining side of the second is to the remaining side of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment,... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...reciprocally proportional to two 'sides of another, when one of the sides of the first is to one of the sides of the second, as the remaining side of the second is to the remaining side of the first. \ 3. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...and parallelograms are such as " have their sides about two of their angles proportionals in such " manner, that a side of the first figure is to a side of the other, "as the remaining side of this other is to the remaining side of the H first."* III. A straight... | |
 | Euclides - 1840 - 192 pages
...proportional to two sides of another figure, when one of the sides of the first is to one of the sides of the second, as the remaining side of the second is to the remaining side of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment,... | |
 | Euclides - Geometry - 1841 - 378 pages
...triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side " of the first figure is to a side of the other, as the " remaining side of this other is to the remaining " side of the first." III. A straight... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...reciprocally proportional to two sides of another, when one of the sides of the first is to one of the sides of the second, as the remaining side of the second is to the remaining side of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment,... | |
 | Euclides - 1842 - 316 pages
...and parallelograms, are " such as have their sides about two of their angles pro" portionals, in such manner that a side of the first figure " is to a side of the other, as the remaining side of this other " is to the remaining side of the first." III. A straight... | |
 | Scottish school-book assoc - 1845 - 444 pages
...angles proportionals. Def. Reciprocal figures, viz. triangles and parallelograms, are such as have their sides about two of their angles proportional in such a manner, that a side of the first is to a side of the second as the remaining side of the second is to the remaining side of the first.... | |
 | Euclides - 1845 - 546 pages
...triangles and parallelograms, are such as have their sides about two of their angles proportionals in such a manner, that a side of the first figure is to a side of the other, as the remaining side of this other is to the remaining side of the first." III. A straight... | |
 | Euclid - Geometry - 1845 - 218 pages
...triangles and parallelograms, are " such as have their sides about two of their angles pro"portionals in such a manner, that a side of the first " figure is to a side of the other, as the remaining side " of this other is to the remaining side of the first." III. A straight... | |
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A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. 
