Elements of GeometryJ. Johnson, 1787 - 162 σελίδες |
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Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 17
... fegment ACBLA to be placed upon the upper ACBDA ; all the points of the arc ALB will fall exactly upon the arc ADB , and confequently these two arcs will be equal . For , if the point L , for inftance , does not fall upon the arc ADB ...
... fegment ACBLA to be placed upon the upper ACBDA ; all the points of the arc ALB will fall exactly upon the arc ADB , and confequently these two arcs will be equal . For , if the point L , for inftance , does not fall upon the arc ADB ...
Σελίδα 63
... fegment of a circle containing a given angle . D Let AB be the given line , and G the given angle : it is required to draw fuch a circumference of a circle through the points A and B , that the angle D fhall be equal to the angle G. For ...
... fegment of a circle containing a given angle . D Let AB be the given line , and G the given angle : it is required to draw fuch a circumference of a circle through the points A and B , that the angle D fhall be equal to the angle G. For ...
Σελίδα 86
... fegment DB , as the fegment AF is to the fegment FC . Suppofe , for ex- ample , the fegment AD to be triple of the fegment DB ; the segment AF will be triple of the fegment FC . Draw the two diagonals DC , FB . The triangles AFD , DFB ...
... fegment DB , as the fegment AF is to the fegment FC . Suppofe , for ex- ample , the fegment AD to be triple of the fegment DB ; the segment AF will be triple of the fegment FC . Draw the two diagonals DC , FB . The triangles AFD , DFB ...
Σελίδα 91
... fegments , which are proportional to the two other fides . B In the triangle BAC , let the angle BAC be bifected by the right line AD , making the angle r equal to the angles . The fegment BD is to the fegment DC , as the fide BA to the ...
... fegments , which are proportional to the two other fides . B In the triangle BAC , let the angle BAC be bifected by the right line AD , making the angle r equal to the angles . The fegment BD is to the fegment DC , as the fide BA to the ...
Σελίδα 102
... fegments of one is equal to the rectangle of the fegments of the other . Let the two chords AB , CD in the circle cut each other in the point F , the rectangle of AF , FB is equal to the rectangle of CF , FD . Draw the two right lines ...
... fegments of one is equal to the rectangle of the fegments of the other . Let the two chords AB , CD in the circle cut each other in the point F , the rectangle of AF , FB is equal to the rectangle of CF , FD . Draw the two right lines ...
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42 by half alfo equal alſo alternate angles angle ATD angle G angles equal arc FD bafe Becauſe the lines bifects chord circle circumference compofed cone confequently correfponding cube defcribe draw the line draw the right drawn equal number equal to half equiangular exterior angles fame manner fame parallels fee fig fegment fhall fide AB fide BC fide CD fide FG fides proportional fimilar figures folid content fquare fuppofed furface given line half the arc half the product homologous homologous lines incloſe interfection Let the line line AB line AC line BA line CD line D line FG meaſured 42 meaſured by half muſt parallelogram ABCD phyfical points plane LM point F point of divifion PROP pyramid radii radius rectangle right angles right line ſame ſecond ſpace ſquare tangent Theſe two triangles three fides equal triangle ABC triangle DFG triple
Δημοφιλή αποσπάσματα
Σελίδα 85 - FGL have an angle in one equal to an angle in the other, and their...
Σελίδα 31 - Through a given point to draw a line parallel to a given straight line.
Σελίδα 3 - The magnitude of an angle does not depend upon the length of its legs, that is, of the straight lines by which it is...
Σελίδα 86 - Q. the rectangle of B and C, and R the rectangle of B and D. Then the rectangles P and R, being between the same parallels, are to each other as their bases A and B (th.
Σελίδα 15 - ... and D; join C and D cutting AB at E, and the line AB is bisected at E. For C and D being each equally distant from A and B, the line CD must be perpendicular to AB at its middle point (converse of I.
Σελίδα 125 - But these two angles are (Defin. 3.) the angles of inclination of the two planes. Therefore the two planes make angles with each other, which are together equal to two right angles.
Σελίδα 21 - If a line is perpendicular to one of two parallel lines, it is perpendicular to the other; thus EF (Art.
Σελίδα 127 - Hence it follows that the lines BG, AH, are parallel (def. 9). And the line AB being perpendicular to the line AH, is also perpendicular to the parallel line BG (cor th. 12). In like manner it is proved, that the line AB is perpendicular to all other lines which can be drawn from the point B in the plane EF. Therefore the line AB is perpendicular t
Σελίδα 88 - Let the four lines meet in a common point, forming at that o point four right angles, and complete the rectangles x, y, z. If the line A be triple of the line B, the line C will be triple of the line D. | * The rectangles .••• and z, being between the same parallels, FI* soi.
Σελίδα 122 - CDE, another plane might puss through the point A, to which the line AB would be perpendicular. But this is impossible ; for, since the angles BAG, BAD, are right angles...