## The geometrician: containing essays on plane geometry, and trigonometry: with their application to the solutions of a variety of problems ... |

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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ... Benjamin Donne No preview available - 2015 |

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ABCD affirmative Altitude Barometer binomial bisect Cafe Center Characteristick Chord Circle Circumference common Compasses consequently Construction contained Corollary Decimals Demonstration describe the Arc Diagonal Diameter Difference Distance divided doubling the Cube draw equal equiangular Equimultiples Essay Euclid Example fame Base fame Ratio Feet find the Height Geometrician Geometry given Line greater Hence Hypothenuse Intersection join Logarithm Magnitudes Mathematics Multiply Number Number of Degrees Object opposite parallel parallel Ruler Parallelogram Perpendicular Plane PLANE GEOMETRY Point Polygon Problem Proportion Proposition Quadrant Quære quired Radius Rectangle rectilineal Figure right Angle right Lines Scale Scholium Secant Segment Semicircle shew shewn Sides Sine Square subtract suppose Supposition Table Tangent Theorem Thermometer Triangle Trigono Trigonometry

### Popular passages

Page 140 - The lines do not run in a uniform direction from the left to the right, or from the right to the left...

Page 112 - AB, remains the same as it was : Nor is it part of the length of the line AB ; for, if AB be removed from the line KB, the point B, which is the extremity of the line KB, does...

Page 125 - If a point be taken within a circle, from which there fall more than two equal straight lines to the circumference, that point is the centre of the circle. Let...

Page xlix - If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.

Page 47 - ... magnitude. For example, if A, B, C, D be four magnitudes of the same kind, the first A is said to have to the last D the ratio compounded of the ratio of A to B, and of the ratio of B to C, and of the ratio of C to D; or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. And if...

Page 111 - It is necessary to consider a solid, that is, a magnitude which has length, breadth, and thickness, in order to understand aright the definitions of a point, line and superficies ; for these all arise from a solid, and exist in it ; The boundary, or boundaries which contain a solid, are called superficies, or the boundary which is common to two solids which are contiguous, or which divides one solid into two contiguous parts, is called a superficies...

Page 47 - When three magnitudes are proportionals, the first is said to have to the third the duplicate ratio of that which it has to the second.

Page 66 - ... is supposed to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18

Page 16 - If two triangles have two sides of the one equal to two sides of the...

Page 112 - KBCL which is contiguous to it, this boundary BC is called a line, and has no breadth : For if it have any, this...