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

### From inside the book

Results 6-10 of 14

Page 11

... Corner axes A 0 . B 4 . C 0 . Edge axes A 0 . B 6 . C 0 . Corner face axes A 0 . B 0 . C 0 . Corner edge axes A 6 . B 0 . C 10 . 3 * Edge face axes A 3 . B 0. C 5 . DRAWING THE OUTLINES OF THE SOLID BODIES . 14. We THE

... Corner axes A 0 . B 4 . C 0 . Edge axes A 0 . B 6 . C 0 . Corner face axes A 0 . B 0 . C 0 . Corner edge axes A 6 . B 0 . C 10 . 3 * Edge face axes A 3 . B 0. C 5 . DRAWING THE OUTLINES OF THE SOLID BODIES . 14. We THE

**CYLINDER**. 11. Page 12

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**cylinder**; the cone ; the triangular , quadrangular , pen- tagonal , and hexagonal pyramid . ( Figures 2 to 11. ) Note . It would be useful to have these representa- tions of the solid bodies drawn on pasteboard , the figure cut out all ... Page 70

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**cylinder**, fig . 6. The upper and lower sides of the rectangle must each be of the same length as the circumference of each circle . 4. Of the triangular pyramid , fig . 77 . 5. Of the polygonal pyramids , figs . 7 , 8 , 9 , and 10 . 6 ... Page 106

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**cylinder**, a solid bounded by one curved and two plane surfaces . A circle or a semi - circle revolving on its diameter gener- ates the sphere , a solid bounded by one curved surface . The three solids last named , viz . , the cone ... Page 107

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**Cylinder**. 188. The convex surface of a prism is composed of parallelograms having an equal altitude . The bases of ...**cylinder**con- sists of two equal circles , and of a convex surface which is equivalent to a parallelogram ...### 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.