| Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...(</ equals be subtracted from unequals, the remainders are unequal in the same order}. QED 94. COR. **The perpendicular is the shortest line that can be drawn from a** given point to a given line. For, in the Fig. page 31, PP'<PR + RPI, Art 92. Or, 2PQ<2PR. Ax. 8. .-.... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...equals l)e subtracted from unequals, the remainders are unequal in the same order). Q. s. D. 94. COR. **The perpendicular is the shortest line that can ~be drawn from a** given point to a given line. For, in the Fig. page 31, PP' <PR + RP, Art 92. Or, 2PQ<2PR. Ax. 8. /.... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...straight line passing through the center of the circle and perpendicular to its plane. 521. COK. 3. **The perpendicular is the shortest line that can be drawn from a** given point to a given plane. 522. DEF. The distance from a point to a plane is the perpendicular drawn... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...vertex to any point in the base is less than either leg. [§§ 154, 180.] PROPOSITION XXIV. THEOREM 182 **The perpendicular is the shortest line that can be drawn from a** point to a straight line. " D u — " HYPOTHESIS. P is any point without the line AB, PD is perpendicular... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...external point it is not possible to draw three equal lines to a given straight line. 77. THEOREM. **The perpendicular is the shortest line that can be drawn from a** point to a straight line. Given: PR ±toAB; PC not -L. To Prove : PB < PC. Proof : Extend PR to X,... | |
| Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...I. Two oblique lines cutting off equal distances from the foot of the perpendicular are equal. 27. **The perpendicular is the shortest line that can be drawn from a** point to a straight line. 28. Two equal lines drawn from a point in the perpendicular to a given line,... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...vertex to any point in the base is less than either leg. [§§ 154, 180.] PROPOSITION XXIV. THEOREM 182 **The perpendicular is the shortest line that can be drawn from a** point to a straight line. « DH *, HYPOTHESIS. P is any point without the line AB, PD is perpendicular... | |
| Daniel Alexander Murray - 1906 - 472 pages
...a line perpendicular to a radius at its extremity is tangent to the sphere. [Suggestion for proof : **The perpendicular is the shortest line that can be drawn from a** point to a plane.] A tangent to an arc of a great circle at any point of the arc is perpendicular to... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...external point it is not possible to draw three equal lines to a given straight line. 77. THEOREM. **The perpendicular is the shortest line that can be drawn from a** point to a straight line. Given: PR _Lto^B; PCnot _L. To Prove : PR < PC. Proof : Extend PR to X, making... | |
| Webster Wells - Geometry - 1908 - 338 pages
...AB < AC. [The J- is the shortest line that can be drawn from a point to a str. line.] (§ 95) Then, **the perpendicular is the shortest line that can be drawn from a** point to a plane. Note. The distance of a point from a plane signifies the length of the perpendicular... | |
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