| Alexander H. McDougall - Geometry - 1910 - 316 pages
...Hence v AC is neither = nor <AB, .-. AC>AB. 57.— Exercises 1. The perpendicular is the shortest st. **line that can be drawn from a given point to a given** straight line. _ X 2. ABCD is a quadrilateral, of which AD is the longest side, and BC the shortest.... | |
| William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...Only one perpendicular can be drawn from a given external point to a given straight line. 116. The **perpendicular is the shortest line that can be drawn from a given point to a given line.** 117. Two oblique lines from the same point in the perpendicular to a given line, cutting off equal... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Modern - 1912 - 360 pages
...right triangle the hypotenuse is longer than either of the legs. 227. COROLLARY 2. Of all the lines **that can be drawn from a given point to a given line,** the perpendicular is the shortest. EXERCISES 1. The angles at the extremities of the greatest side... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...carpenter's square or a draftsman's triangle (see p. 103). PROPOSITION XI. THEOREM 161. Of all lines **that can be drawn from a given point to a given line,** only one is perpendicular to the given line. Given the line AB, the point C without it, and CD perpendicular... | |
| Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...ZC. AADC is isosceles. Why? Then AD = DC. Why? BD+DA>BA. Why? BD+DOBA. § 111 .-.BOBA. 185. Theorem. **A perpendicular is the shortest line that can be drawn from a** point to a straight line. Given CD drawn perpendicular to the line AB from the point C, and CE any... | |
| William Betz, Harrison Emmett Webb - Geometry, Solid - 1916 - 214 pages
...the sides opposite are unequal, and the greater side is opposite the greater angle. 227. Of all lines **that can be drawn from a given point to a given line,** the perpendicular is the shortest. 228. In any triangle the sum of two sides is greater than the third... | |
| William Betz - Geometry - 1916 - 536 pages
...right triangle the hypotenuse is longer than either of the legs. 227. COROLLARY 2. Of all the lines **that can be drawn from a given point to a given line,** the perpendicular is the shortest. EXERCISES 1. The angles at the extremities of the greatest side... | |
| Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...numerical illustrations of Ineq. Ax. 4. PLANE GEOMETRY. BOOK I PROPOSITION XXVII. THEOREM 136. The **perpendicular is the shortest line that can be drawn from a given point to a given** straight line. Q Given the point P and the line AB, PQJ-AB, and PR oblique to AB. To prove PQ < PR.... | |
| Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...opposite these angles are unequal, and the greater side is opposite the greater angle. § 185. Theorem. **A perpendicular is the shortest line that can be drawn from a** point to a straight line. § 186. Theorem. If two straight lines are drawn from a point in a perpendicular... | |
| Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...increase again; and as P moves further and further to the right, 0 P increases without limit. Since the **perpendicular is the shortest line that can be drawn from a given point to a given** straight line, it is called the distance of the point from the line. Remember that the distance of... | |
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