 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 458 pages
...0)2 + (rsin <£sin ^)2 = ra. 17. Orthogonal projection. The orthogonal projection * of a point upon a line is the foot of the perpendicular from the point to the line. In the figure, M is the projection of P upon AB. The projection of a segment PQ of a FIG. 4.^ line... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...triangles is \ ab ; .'. c2 - 4 • £ ab = (a - by = a2 + b2 - 2 ab ; .'. c2 = a2 + b2. FIG. 3. FIG. 4. Fig. 4 is one of the most simple : If from the...eg in Figs. 1 and 2, A'B' is the projection of AB. Strictly these are orthogonal (or right-angled) projections ; but since orthogonal projections are... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...triangles is £ ab; .'. c2 - 4 s £ab = (a — b) 2 = a 2 + b * - 2 ab ; .'. c 2 = a2 + b2. FIG. 3. FIG. 4. Fig. 4 is one of the most simple: If from the whole...perpendicular from the point to the line. Thus A' and R, Figs. 1, 2, are the projections of A and B on X'X. The projection of a line-segment on another line... | |
 | Pitt Durfee - Plane trigonometry - 1900 - 340 pages
...90° 46' 12", sec (- 135° 14' 11"), cos (- 71° 23'). CHAPTER V THE ADDITION FORMULA 37. Projection. The projection of a. point on a line is the foot of the perpendicular from the point to the line. The projection of a line-segment on a given line in the same plane is the portion of the second line... | |
 | Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...«. ^ ' 6. Obtain the functions of (« — TT) in terms of the functions, of «. 24*. Projection. — The projection of a point on a line . is the foot of the perpendicular dropped from the point to the line. The projection of one line on another is the locus of the projections... | |
 | Pitt Durfee - Plane trigonometry - 1900 - 122 pages
...90° 46' 12", sec (- 135° 14' 11"), cos (- 71° 23'). CHAPTER V THE ADDITION FORMULA 37. Projection. The projection of a. point on a line is the foot of the perpendiculars from the point to the line. The projection of a line-segment on a given line in the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...AD = AF. .: AF .: AB = FB : AF, or v AB : AF = AF : FB. QED 317. DBF. The projection of a point upon a line is the foot of the perpendicular from the point to the line. 318. DEF. The projection of one line upon another is the length between the projections of the extremities... | |
 | James McMahon - Geometry, Plane - 1903 - 380 pages
...into two equal trapezoids. [Apply 145.] Projections. 163. Definition. The projection of a point upon a line is the foot of the perpendicular from the point to the line. The projection of a line-segment upon a line is the segment between the projections of its extremities.... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...answers. XIV. PYTHAGOREAN GROUP DEFINITIONS PROJECTION ox A LINE The Projection of a Point on a straight line is the foot of the perpendicular from the point to the line. The line on which the perpendicular is dropped is called the Base of Projection. The Projection of... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
....-.tx = nr(?) (329). Consequently, a - b = t2 + n -r (Ax. 6). QED 339. The projection of a point upon a line is the foot of the perpendicular from the point to the line Thus, the projection of P is J. NM The projection of a definite line upon an indefinite line is the part... | |
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The projection of a point on a line is the foot of the perpendicular from the point to the line. Thus A 
