 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...circle is a maximum among all inscribed straight lines ; and a perpendicular is a minimum among all the straight lines drawn from a given point to a given straight line. 464. Isoperimetric figures are those which have equal perimeters. We give here a few simple but important... | |
 | Seth Thayer Stewart - Geometry - 1891 - 426 pages
...meets the given line at the greater distance is the longer line. PROP. XXIV. THEOREM : If two oblique straight lines drawn from a given point to a given straight line are equal, they meet the given line at points equally distant from the foot of the perpendicular drawn... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...is equal to 5 inches, and BC is equal to 4 inches, find PA. 2. Find the locus of points which divide all straight lines drawn from a given point to a given straight line in a given ratio. 3. Two circles touch externally at P, and a common tangent touches them at A and... | |
 | John Macnie - Geometry - 1895 - 386 pages
...class. Thus the diameter of a circle is a maximum among all inscribed straight lines; and, among all the straight lines drawn from a given point to a given straight line, the perpendicular is the minimum. 746. DEFINITION: Isoperimetric figures are those which have equal... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...a given line, is unique, whether the given point be on the given line or without the given line. 4. Of all straight lines drawn from a given point to a given plane, (2) Obliques with equal projections are equal, and conversely. (3) Of two obliques with unequal... | |
 | Euclid - Mathematics, Greek - 1908 - 550 pages
...reference to the perpendicular and obliques drawn from a given point to a given straight line, namely that of all straight lines drawn from a given point to a given straight line the perpendicular is the shortest, and of the rest (the obliques) that is the longer which has the... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...line BC is clearly shorter than to go from B to A and then from A to C. In other words THEOREM 12. Of all straight lines drawn from a given point to a given straight line the perpendicular is the least. ARQCPB Let OC be the perpendicular, and OP any oblique, drawn from... | |
 | Geometry, Plane - 1911 - 192 pages
...circle is 36;r. Find the side, apothem, and area of the inscribed equilateral triangle. D 10. Prove that of all straight lines drawn from a given point to a given plane, (a) The perpendicular is the shortest line; (6) Any two oblique lines which cut off unequal... | |
 | Newfoundland Council of Higher Education - 1916 - 254 pages
...35°. Write down (without measurement) the value of each of the angles COB, BOD. (16) 2. Prove that, of all straight lines drawn from a given point to a given straight line, the perpendicular is the least. (14) 3. From B, the foot of the flagstaff AB, a horizontal line is... | |
 | Military Academy, West Point - 1934 - 964 pages
...chorda is at the greater distance from the center. 12 (a) Problem: To find the locus of the mid-points of all straight lines drawn from a given point to a given straight line. (6) Problem: To construct a triangle, given tho middle points of its three sides. 12 Problem: To divide... | |
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When a quantity is greater than any other of the same class, it is called a maximum. A multitude of straight lines, of different lengths, may be drawn within a circle. But among them all, the diameter is a maximum. Of all sines of angles, which can be... 
