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" Now it is plain, that if any great circle of the sphere (as 1, 2, 3.) be divided into any number of equal parts, and through the points of division... "
An introduction to the theory ... of plane and spherical trigonometry ... - Page 362
by Thomas Keith - 1839
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An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - Navigation - 1810 - 478 pages
...ACB=/DCE = ZDFE (N. and Q. 131.) therefore the triangle ABC is equal to the triangle DEF (D. 136.); let the surface of each of these triangles be represented...circle of the sphere (as 1, 2, 3.) be divided into any nu.nber of equal parts, and through the points of division (1, 2, 3.) great circles be drawn so as...
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A Treatise of Mechanics, Theoretical, Practical, and Descriptive, Volume 1

Olinthus Gregory - Mechanical engineering - 1815 - 604 pages
...end B of the time AB be represented by the line KB, drawn at pleasure to AB, and join AE. Divide AB into any number of equal parts, and through the points of division draw as many lines parallel to EB ; these will represent the increasing degrees of velocity after the...
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An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - Navigation - 1826 - 504 pages
...АСВГ: ZDCE = Z.DFE (N. and Q. 135.) therefore the triangle ABC is equal to the triangle DEF (D. 141.); let the surface of each of these triangles be represented by m, and let TO, x, and y represent the surfaces of the triangles in which they are situated. Now it is plain, that...
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Treatise on Topographical Drawing

Seth Eastman - Topographical drawing - 1837 - 114 pages
...distance SD, in front of the spectator, and draw AG perpendicular to the line of sight. Divide AG, and DN, into any number of equal parts, and through the points of division draw lines parallel to AG, and DN, so as to divide the surface of the plan into squares. Now there...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1114 pages
...the surface of the dome. Make Ai equal to half the width of a board and join ei. Divide the arc AB into any number of equal parts, and through the points of division draw the lines li, 2j, 5k, 41, cutting Ac in the points efgh and ei in the points ijtí. Produce the...
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Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...draw through A and these points straight lines : these will be the projections of meridians. Divide FD into any number of equal parts, and through the points of division describe concentric circles having their centre at A ; these will be the projections of intermediate...
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Elementary geometry

James Maurice Wilson - 1869 - 260 pages
...three parallels, PQR, LMN any two lines intersected by them ; then shall PQ : QR :: LM : MN. For if PQ be divided into any number of equal parts, and through the points of division lines be drawn parallel to A or B, LM will be divided by those lines into the same number of equal...
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Industrial Drawing: Comprising the Description and Uses of Drawing ..., Volume 1

Dennis Hart Mahan - Drawing instruments - 1877 - 238 pages
...the taste. 2. To represent a pavement made up of squares. (PI. I.** Fig. 1.) Divide the lower side into any number of equal parts, and through the points of division draw lines 45° both ways ; if through the points where these diagonals meet the sides, diagonal lines...
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An Elementary Geometry: Plane, Solid, and Spherical : with Numerous ...

William Frothingham Bradbury - Geometry - 1877 - 262 pages
...common altitude ; then their bases will be in the same plane (VI. 11). Divide the common altitude, BX, into any number of equal parts, and through the points of division pass planes parallel to the plane of the bases. The corresponding sections thus formed of the pyramids...
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A Geometry for Beginners

George Anthony Hill - Geometry - 1880 - 348 pages
...horizontal plane, and having equivalent bases ABC and MNO, and equal heights. Divide the common height into any number of equal parts, and through the points of division pass planes parallel to the bases of the pyramids. Since the bases are equivalent, it follows, from...
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