 | Alan Sanders - Geometry, Modern - 1901 - 260 pages
...The distance from one point to another is measured on the straight line joining them. (Axiom 14.) The distance from a point to a line is the perpendicular drawn from that point to the line. (§ 216.) The distance between two parallels is measured on a line perpendicular... | |
 | Alan Sanders - Geometry - 1903 - 392 pages
...The distance from one point to another is measured on the straight line joining them. (Axiom 14.) The distance from a point to a line is the perpendicular drawn from that point to the line. (§ 216.) The distance between two parallels is measured on a line perpendicular... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...AB. SUG. 2. In A CDE compare ZD and Z E. SUG. 3. Then compare CE and CD. Auth. Conclusion. 82. Cor. The shortest distance from a point to a line is the perpendicular from the point to the line. EXERCISES 40. How many degrees are there in each angle of an equilateral... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...For, in the Fig. page 31, PP'<PR + RPI, Art 92. Or, 2PQ<2PR. Ax. 8. .-. PQ<PR. Ax. 10. Hence, DBF. The distance from a point to a line is the perpendicular drawn from the point to the line. Ex. 1. If one side of an equilateral triangle is 4 inches, what is its perimeter ? Ex. 2. Is it possible... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...For, in the Fig. page 31, PP' <PR + RP, Art 92. Or, 2PQ<2PR. Ax. 8. /. PQ<PR. Ax. 10. Hence, DKF. The distance from a point to a line is the perpendicular drawn from the point to the line. Ex. 1. If one side of an equilateral triangle is 4 inches, what is its perimeter ? Ex. 2. Is it possible... | |
 | Ernst Rudolph Breslich - Mathematics - 1909 - 402 pages
...angle of one are respectively equal to the hypotenuse and an acute angle of the other. 3. Theorem: The shortest distance from a point to a line is the perpendicular from the point to the line. For, let AB, Fig. 202, be perpendicular to DE A and let AC be any other... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...c <a+b. Subtracting a from both sides c—a<b. Similarly, show that b — a<c; that c— b <a. 13. The shortest distance from a point to a line is the perpendicular from the point to the line (§ 35). Prove. 14. // two sides of a triangle are unequal, the angles opposite... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...the exterior angles of a polygon, taking one at each vertex, is 360°. [89] Perpendicular Lines 394. The shortest distance from a point to a line is the perpendicular from the point to the line. (285) 395. At a given point in a given line one and only one perpendicular... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...equal, the limits which they approach are equal. POSTULATE OF PERPENDICULARS (third) IN CHAPTER Vm 1. The shortest distance from a point to a line is the perpendicular to that line, SUMMARY OF THEOREMS PROVED IN CHAPTER Vm 42. Three points not in a straight line fix... | |
 | United States. Office of Education - 1921 - 1286 pages
...them. 4. One and only one perpendicular can be drawn through a given point to a given straight line. 5. The shortest distance from a point to a line is the perpendicular distance from the point to the line. 6. From a given center and with a given radius one and only one... | |
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The shortest distance from a point to a line is the perpendicular distance from the point to the line. 
