A treatise on geometry, and its application in the arts / By the Rev. Dionysius Lardner.

  • Lardner, Dionysius, 1793-1859.
Date:
1840
Catalogue details

Licence: Public Domain Mark

Credit: A treatise on geometry, and its application in the arts / By the Rev. Dionysius Lardner. Source: Wellcome Collection.

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    Xli (253.) (255.) (256.) (259.) (260.) (262.) (263.) (265.) (266.) (267.) (268.) (269.) (270.) (271.) (272.) (273.) (274) (276.) CONTENTS. Page Triangles having an Angle in each equal, and containing Sides proportional, are similar - - - 118 Perpendiculars proportional to Sides in similar Triangles, 118 Areas of similarTriangles, proportional to the Squares of the corresponding Sides - - - - 119 Similar Figures resolved into similar Triangles - - 120 Areas of similar Figures as the Squares of their corre- sponding sides - - - - 191 Areas of Circles as the Squares of their Diameters - - 122 Circles on the Sides of a right-angled Triangle, equal to the Circle on the Hypothenuse - - . = 122 If four Lines be proportional, the Rectangle under the ‘Means is equal to the Rectangle under the Extremes - 123 To find a fourth Proportional numerically - - 124 Third Proportional and mean Proportional = - 124 The Square of the Mean is equal to the Rectangle under the Extremes - = = - 124 Rectangles under the Segments of intersecting Chords in a Circle are equal - - - - 125 Perpendicular to the Diameter of a Semicircle, is a Mean between the Segments = - - 125 The Angle under the Chord and Tah sort is equal to the Angle in the alternate Segment - - - 126 The Square of the Tangent is equal to the Rectangle under the Secant and its external Part - - - 126 Rectangles under all Secants from the same Point, and their external Parts are equal - - 127 To find a fourth Proportional geometrically = - 127 Proportional Compasses - = - 130 To find a third Proportional geometrically - - 131 To find a mean Proportional geometrically - - 13] To find a Line whose Square is equal to the Area of a given Figure - - - - 132 CHAP. XI. (277.) (278.) (279.) (280.) To construct a Figure equal and similar to another, and similarly placed = » - - 133 To. construct a Figure similar to another, on a different scale, but similarly placed - - - 134 Transference of Figures by tracing - - - 136 Examples of this in the useful Arts. —In Printing of every kind - > = 136 Construction of the lateral Reversion of a Geometrical Figure ~ - - - 137 Application in Engraving and Printing - - 139