 | Auguste Frédéric Lendy - Technology & Engineering - 1862 - 562 pages
...step that must be taken is the representation of points. This is done by projections on planes. (66). The projection of a point on a plane is the foot of the perpendicular drawn from that point to the plane. Thus, if A be a given point in the space, and Fio. 94. 1*. MN any... | |
 | Francis Henney Smith - Geometry, Descriptive - 1868 - 86 pages
...method of projections. Descriptive Geometry is, therefore, based upon the method of projections. 3. The projection of a point on a plane is the foot of the perpendicular let fall from this point on the plane. The plane on which the projection is made is called the plane... | |
 | William Henry Besant - Conic sections - 1869 - 304 pages
...than that of the hyperbola, and less than that of the ellipse. CHAPTER VIII. PROJECTIONS. 164. DBF. The projection of a point on a plane is the foot of the perpendicular let fall from the point on the plane. If from all points of a given curve perpendiculars be let fall... | |
 | John Reynell Morell - Geometry - 1871 - 156 pages
...parallel to this plane : accordingly all these straight lines will be in one and the same plane. 126. The projection of a point on a plane, is the foot of the perpendicular drawn from the same point on to the plane'. (t ig. 1(W, b-) 1 Fig. 103 (a). Fig. 103 (b). § XXX. Dihedral... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...straight lines from a point to a plane meet the plane in the circumference of a circle whose centre is the foot of the perpendicular from the point to the plane. Hence we derive a method of drawing a perpendicular from a given point A to a given plane MN: find... | |
 | James Maurice Wilson - 1872 - 160 pages
...parallel to AP, AX : XR :: PQ : QR; therefore AB : BC :: PQ : QR\ THE LINE INCLINED TO THE PLANE. Def. 6. The projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. Def. 7. The projection of a line on a plane is the locus of the... | |
 | John Stuart Jackson - 1872 - 208 pages
...Aa from some CONIC SECTIONS. CHAPTER I. On the Method of Projections. 1. DEFINITIONS. The Orthogonal projection of a point on a plane is the foot of the perpendicular drawn from the point to the plane. The plane on which the projection is made is called the plane of... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...straight lines from a point to a plane meet the plane in the circumference of a circle whose centre is the foot of the perpendicular from the point to the plane. Hence we derive a method of drawing a perpendicular from a given point A to a given plane MN: find... | |
 | André Darré - 1872 - 226 pages
...from a point outside the plane, the foot of the perpendicular is called the projection of the point on the plane. The projection of a line on a plane is the line formed by projecting all the points of the line on the plane. THEOREM. The projection of a straight... | |
 | James Maurice Wilson - 1873 - 178 pages
...called parallel planes. They are then said to have the same disposition in space. W. (2) I Def. 5. Th& projection of a point on a plane is the foot of the perpendicular let fall from the point to the plane. Def. 6. The projection of a line on a plane is the locus of the... | |
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The projection of a point on a plane is the foot of the perpendicular from the point to the plane. 
