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Given the sun’s seat and inclination on the plane of thehorizon, and the intersection of two planes at right-angles with each other, and perpendicular to thehorizon, to find the representation of the sun’s rayson each of the vertical planes, ii. 334.
To find the representation of the shadow on a prismaticsolid by a plane cutting the prism perpendicular toits arrises ; given, the elevation of the prism on aplane parallel to its arrises, and parallel to one of itssides, as also the figure of the plane which throwsthe shadow with the section of the surfaces of theprism on that plane, and likewise the sun’s rays bothon the plane and on the elevation, ii. 335.
To find the indefinite shadow of a line perpendicular tothe horizon on an inclined plane; given the inclina-tion of the plane to the horizon, and the seat of thesun’s rays, the intersection of the inclined plane, withthe horizon being parallel to the intersection of theplane of representation and the horizon, ii. 335.
To find the shadow of a plane rectilinear figure inter-secting another plane figure, a point through whichthe shadow is to pass on the plane which receives theshadow, and the orthography of the rays of the lumi-nary, being given, ii. 335.
Given the orthography of a determinate line, and theindefinite representation of its shadow, also the ortho-graphy of the sun’s ray, to find the limits of theshadow, ii. 335.
To find the shadow of a chimney-shaft on the roof of ahouse, ii. 335.
A cylinder being capped with a square abacus juttingalike over each of the sides, to find the representationof the shadow, the elevation and plan being given, asalso the plan and elevation of the sun’s rays, ii. 336.
A cylinder being capped with another concentric cylin-der, to find the representation of the shadow, ii. 337.
Projection, Stereographical, ii. 337.
Stereography, ii. 443.
Projection of Shadows, ii. 337.
Shadows, ii. 424.
Projecture, ii. 337.
Prolate, ii. 337.
Pronaos, ii. 337.
Proportion, ii. 337.
Proportional Compasses, ii. 337.
Description of, ii. 337.
Compasses, i. 185.
Instruments, ii. 13.
To set the proportional compasses in the ratio of a linedivided into any two parts, ii. 337.
Given, any number of lines, ab, c d, &c., to find aseries of other lines which will have the same ratioin every two corresponding lines ; given, one linea b, of the series required, corresponding to a b ofthe series given, ii. 338.
To divide a given line in the same proportion as anothergiven line is divided, ii. 338.
To divide a straight line in continued proportion; given,the extreme part, ii. 338.
Given two straight lines tending to an inaccessible point,and a point E in position, to draw a straight linethrough the last named point, so that all the threestraight lines may have the same point of concourse,ii. 338.
Given two straight lines tending to an inaccessiblepoint, and any number of points in position not in a
straight line, to draw a right-line through each of thepoints tending to the same point, ii. 338.
Given, the representation of the end of a right cylinderand the vanishing-line of the plane of that end, througha given point in any perpendicular, to draw the repre-sentation of the other end of the cylinder, ii. 338.Given, the representation of any point on the picture,and the intersecting and vanishing lines of the planeit is in, to find the height of a representative line, theoriginal of which is parallel to the picture, ii. 339.To construct the scales of sines for the proportionalcompasses, ii. 339.
To draw the representation of a house by making thecentre of the picture the dividing point, having thedimensions of the building given, ii. 340.
Given, the vanishing-line of a plane, its centre and dis-tance, and the inclination of a line in that plane tothe intersection, to find the vanishing-point of theline without drawing any lines in the vanishing plane,in order to find the vanishing-point of the originalline as given in position to the intersecting line,ii. 340.
To find the vanishing-point of a line, the radial ofwhich makes a greater angle with the primary radialthan 45°, the vanishing-line and its centre being given,as also the primary radial, ii. 341.
Given, the angle made by the radialsof any two originallines with each other, and the angle which one ofthem makes with the primary radial, to find a divi-ding point common to the same measures or scales,so as to cut off a portion from the indefinite represen-tation of each line, such that the portions may berepresentations of the two original lines, ii. 342.Given, the sun’s altitude on a plane, the height of aline and the length of its shadow on that plane, theorthographical representation of a cornice, with asection of the same, as also the seat of the sun’s rays,to find the shadow of the cornice, ii. 342.
The representation of a cylinder with a square abacusor cap being given, to find the shadow of the capupon the cylindric surface, the axis of the cylinderbeing parallel to the plane of projection, also theshadow of a line perpendicular to the axis of thecylinder, and in a plane passing along the said axisand through the luminary, ii. 342.
To describe the logarithmic spiral by a series of pointsfound in a curve; the centre and two opposite pointsin a straight line passing through the centre, beinggiven in the curve, ii. 343.
To draw the representation of the meridians of a solidof revolution upon a plane parallel to the axis of thesolid ; given an axal section, that is, a section of thesolid, passing along the axis upon a plane parallel tothe said axis, ii. 343.
Propylaea, ii. 343.
Propylon, ii. 344.
Proscenium, ii. 344.
Prostyle, ii. 344Prostypa, ii. 344.
PROTnYRis, ii. 344.
Console, i. 192.
Prothyrum, ii. 344.
Protractor, ii. 344.
Description of, ii. 344.
Directions for use of, ii. 344.
Protractor, Improved, ii. 344.
Pseudo-Dipteral, ii. 344.
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