 The acute angle which a straight line makes with its projection upon a plane is the least angle which it makes with any line of the plane.  Solid Geometry - Page 280by George Albert Wentworth - 1902 - 218 pagesFull view - About this book
 | William Chauvenet - Geometry - 1871 - 380 pages
...MN. \ PROPOSITION XXIII.— THEOREM. 59. The acute angle ichich a straight line makes with its own projection upon a plane, is the least angle which it makes with any line of that plane. Let Ba be the projection of the straight line BA upon the plane MN, the point B being the... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...plane MN. PROPOSITION XXIII.— THEOREM. 59. The acute angle which a straight line makes with its own projection upon a plane, is the least angle which it makes with any line of that plane. Let Ba be the projection of the straight line BA upon the plane MN, the point B being the... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...Find the locus of points in space which are equally distant from two given points. 3. The angle which a straight line makes with its projection upon a plane...is the least angle which it makes with any line of that plane. 5. Find the locus of the points which are equally distant from two given straight lines... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...PROPOSITION XXI. THEOREM. 478. The aciife angle which a straight line makes with its own projection on a plane is the least angle which it makes with any line of that plane. A Let BA meet the plane MN at В, and let B A' be its projection upon the plane M У, and... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...are at right angles to each other. 6. The acute angle which a line makes with its own projection on a plane, is the least angle which it makes with any line on the plane. See Def. of projection, and use the last Ex. and (I. 23). 7. If a plane be passed through... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...plane MN. PROPOSITION XIX.—THEOREM. 44. The acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line of that plane. Let Ba be the projection of the straight line BA upon the plane MN, the point B being the... | |
 | Trinity College (Hartford, Conn.) - 1888 - 978 pages
...following propositions: 1. The acute angle which a straight line makes with its projection upon a plune is the least angle which it makes with any line of the plane. 2. Any triangular prism may be divided into three triangular pyramids equivalent to each other. 3.... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...A PLANE. PROPOSITION XXII. THEOREM. 526. The acute angle which a straight line makes with its oivn projection upon a plane is the least angle which it makes with any line of the plane. N Let BA meet the plane MN at A, and let AC be its projection upon the plane MN, and AD any other line... | |
 | George Albert Wentworth - Geometry - 1895 - 458 pages
...own projection upon a plane is the least angle which it makes with any line of the plane. N Let SA meet the plane MN at A, and let AC be its projection...other line drawn through A in the plane. To prove Z. B AC less than Z BAD. Proof. Take AD = AC, and join BD. In the A BA C and BAD BA = BA,AC=AD,\)utBC<BD.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...equal OY. SOLID GEOMETRY. Theorem 12. The acute angle which a line makes with its own projection on a plane is the least angle which it makes with any line in that plane. Given the line AB, cutting plane P at 0, A'B' the projection of AB on P, and XX' any... | |
| |
