 XVIII, prove that the perpendicular is the shortest line that can be drawn from a point to a straight line.  Plane Geometry - Page 74by Walter Burton Ford, Charles Ammermann - 1923 - 232 pagesFull view - About this book
 | Webster Wells - Geometry - 1894 - 400 pages
...perpendicular to AB, and CD is the only perpendicular that can be drawn. PROPOSITION VII. THEOREM. 45. The perpendicular is the shortest line that can be drawn from a point to a straight line. 0 -B E\ \ Let CD be the perpendicular from 0 to the line AB, and CE any other line drawn from C to... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...398.) But this is impossible. Then but one perpendicular can be drawn from A to MN. 402. COB. III. The perpendicular is the shortest line that can be drawn from a point to a plane. Let AB be the perpendicular from A to the plane MN, and AC any other straight line from A to... | |
 | Albany (N.Y.). Board of Public Instruction - Education - 1895 - 624 pages
...complement? (6) What kind of a triangle is formed by a diagonal and two sides of a rhombus? 12. Prove that a perpendicular is the shortest line that can be drawn from a point to a line. 13. At one extremity of a line an angle of R0° is constructed, and at the other extremity an... | |
 | Adelia Roberts Hornbrook - Geometry - 1895 - 222 pages
...they cut the circumference. Which is the greater, OE or OF? OF or OC? Why? OE or OC! OD or OC? What is the shortest line that can be drawn from a point to a line ? PRINCIPLE 45. — A tangent to a circle is perpendicular to the radius at the point of tangency.... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...113. Two angles whose sides are perpendicular, each to each, are either equal or supplementary. 114. The perpendicular is the shortest line that can be drawn from a point to a straight line. 116. Two oblique lines drawn from a point in a perpendicular to a given line, cutting off equal distances... | |
 | Webster Wells - Geometry - 1898 - 284 pages
...(Ax. 3) Hence, CE cannot be _L AB, and CD is the only _L that can be drawn. PROP. VII. THEOREM. 46. The perpendicular is the shortest line that can be drawn from a point to a straight line. Given CD the _L from point C to line AB, and CE any other str. line from C to AB. To Prove CD < CE.... | |
 | George Albert Wentworth - Geometry - 1898 - 266 pages
...one is acute and the other obtuse. PERPENDICULAR AND OBLIQUE LINES. PROPOSITION XVII. THEOREM. 114. The perpendicular is the shortest Line that can be drawn from a point to a straight 5\ iC7 " i Let AB be the given straight line, P the given point, PC the perpendicular, and PD any other... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...is a str. line. [But one str. line can be drawn between two points.] (Ax. 3) PROP. VII. THEOREM. 46. The perpendicular is the shortest line that can be drawn from a point to-a straight line. -D Given CD the _L from point C to line AB, and CE any other str. line from C to... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...drawn, cutting OD at G ; prove that Atl and BG make equal angles with CD, Proposition 12. Theorem. 22. The perpendicular is the shortest line that can be drawn from a point to a straight line. E\ D \ \j F Hypothesis. CD is the _L drawn from C to AB, and CE is any other line drawn from C to AB.... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...is a str. line. [But one str. line can be drawn between two points.] (Ax. 3) PROP. VII. THEOREM. 46. The perpendicular is the shortest line that can be drawn from a point to a straight line. E \C' Given CD the _L from point C to line AB, and CE any other str. line from C to AB. To Prove CD... | |
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