## An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |

### From inside the book

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Page xiii

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**cube**, . 107 190 . " " cylinder , 107 191 . " 6 192 . ( 6 pyramid , cone , 107 . 108 193 . 194 . 66 " L regular solids , sphere , . 109 • . 109 and volume , parallelopiped , • 198 . 199 . 200 . 201 . 26 202 . 66 203 . 204 . 205 ... Page xvi

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**cubes**, 298. " " 299. " " 300. " C 301. 66 " cylinders or prisms , the superficial and of the solid contents of two spheres ...**cube**,. " solidity of a sphere to the solidity of a circum- scribed cylinder ,. · EXPLANATION OF SIGNS ... Page 1

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**CUBE**. 1. What is to be remarked in the**Cube**? In the**cube**we remark 6 surfaces , -1 upon which it rests , 1 opposite to that , and 4 upright surfaces ; 12 straight lines which bound the surfaces , -4 above , 4 below , and 4 upright ... Page 2

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**cube**; 6 line axes , or imaginary straight lines passing through the**cube**as before and joining the middle . points of two lines . Each of these surfaces is a plane surface , or simply a plane ; that is , if we take two points in any ... Page 3

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**cube**are parallel to each other ; that is , they are in all parts at the same distance from each other , and would never meet however far they were extended in every direction . If the**cube**lies upon one of its faces upon a table , the ...### Other editions - View all

### Common terms and phrases

adjacent angles angle BAC angles are equal Bisect centre chord circumference coincide concave angles consequently angle construct a square convex angle convex surface cube curved line cylinder decagonal describe a circle diagonals diameter divided division points draw a line Draw a straight equal altitude equal angles equal bases equivalent erect a perpendicular exterior angles feet found by multiplying given number given square greatest number hexagon homologous sides hypothenuse inches inscribed circle isosceles triangle length let fall line drawn line passes magnitude measured Multiply the number number of lines number of points number of straight opposite parallelogram parallelopiped passes 2 points pendicular pentagon proportion protractor quadrilateral radii radius equal ratio regular polygon right angle semi-circumference set intersecting side AC similar similar triangles solidity sphere straight line suppose tangents triangle ABC triangular prism unequal vertex vertices

### Popular passages

Page 130 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.

Page 154 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.