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

### From inside the book

Results 1-5 of 14

Page xiii

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**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 . " " 206 . " " 207 . ( 6 ༦ ... Page xvi

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**cylinders**or prisms , the superficial and of the solid contents of two spheres , . 156 157 157 157 158 • . 159 . 159 • • 159 . 160 ...**cylinder**,. · EXPLANATION OF SIGNS . MATHEMATICIANS have adopted the following Signs xvi CONTENTS . Page 8

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**cylinder**. A round pillar is a**cylinder**standing up ; a roller ' is a**cylinder**lying down . The**cylinder**is bounded by 2 plane surfaces 8 EXAMINATION AND IMITATION . Page 9

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**cylinder**is bounded by 2 plane surfaces , and 1 curved surface . The 2 plane surfaces , called the bases of the**cylinder**, are parallel ; they are of equal size , and each is bounded by a curved line , all parts of which are equally ... Page 10

... - The pyramid , the cone , and the sphere can be examined and treated in a manner similar to that in which we have treated the prisms and the

... - The pyramid , the cone , and the sphere can be examined and treated in a manner similar to that in which we have treated the prisms and the

**cylinder**. 13. Let us now compare together the cube , the 10 EXAMINATION AND IMITATION .### 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.