 ... as any homologous altitudes. 549. EXERCISE. The perimeters of similar triangles are to each other as any homologous medians. 550. EXERCISE. The perimeters of two similar polygons are 78 and 65 ; a side of the first is 9, find the homologous side of...  Text-book of Elementary Plane Geometry - Σελίδα 41των Julius Petersen - 1880 - 73 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | John Reynell Morell - 1875 - 220 σελίδες
...BO: CA : : OD : AB ; and as CO is the half of CA, OD also will be half AB or the radius. t A straight line is said to be divided into extreme and mean ratio when it is divided into two parts, such that the greater part is a mean proportional between the said straight line and the lesser part.... | |
 | Julius Petersen - 1880 - 86 σελίδες
...which are r and — •- / / r \ 2 The figure shews the construction; bisect the radius OD, make OB -L. OD and join AB; thereupon make AC = AB, then OC will...thus divided. When the circumference is divided into 10 equal parts, we can, by doubling or continually bisecting the arcs, divide it into 5, 20, 40, 80... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 σελίδες
...circles, the products of the secants and their external segments will be equal. 315. DEF. A straight line is said to be divided into extreme and mean ratio, when it is divided into two segments, such that the greater is the mean proportional between the smaller and the whole line. Thus,... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 σελίδες
...products of the secants and their external segments will be equal. SIMILAR POLYGONS 315. DEF. A straight line is said to be divided into extreme and mean ratio, when it is divided into two segments, such that the greater is the mean proportional between the smaller and the whole line. Thus,... | |
 | Alan Sanders - 1901 - 260 σελίδες
...and 65 ; a side of the first is 9, find the homologous side of the second. 551. DEFINITION. A line is divided into extreme and mean ratio when it is divided into two parts so that one segment is a mean proportional between the whole line and the other segment. PROPOSITION XXVIII.... | |
 | Alan Sanders - 1901 - 260 σελίδες
...side of the first is 9, find the homologous side of the second. 551. DEFINITION. A line is divided in extreme and mean ratio when it is divided into two parts so that one segment is a mean proportional between the whole line and the other segment. PROPOSITION XXVIII.... | |
 | Alan Sanders - 1903 - 392 σελίδες
...side of the first is 9, find the homologous side of the second. 551. DEFINITION. A line is divided in extreme and mean ratio when it is divided into two parts so that one segment is a mean proportional between the whole line and the other segment. PROPOSITION XXVIII.... | |
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