## 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 21

Page xiv

...

...

**describe a circle**whose circumference shall pass through two given points , 124 • 124 • 125 • · 126 • . 126 127 127 · 239 . 66 66 whose circumference shall pass through three given points , 127 241 . 242 . " L " 6 about a regular ... Page xvi

... circles , 296. To

... circles , 296. To

**describe a circle**the surface of which shall be equal to the surfaces of two given circles , 297. Ratio of two cubes , 298. " " 299. " " 300. " C 301. 66 " cylinders or prisms , the superficial and of the solid ... Page 9

...

...

**describe**its bases . We will now examine the oblique cylinder , the fluted cylinder , and the cylinder which has ...**circle**. The curved line bounding it is called a circumference . The term**circle**is sometimes improperly used for ... Page 50

...

...

**circle**passing through the centre of the lesser , as is con- tained between the 2 circumferences . In 6 the distance ...**describe**from the ends of the line AB , as centres , 2**circles**which shall have the following relations one to ... Page 51

...

...

**describe a circle**. = Then fix one leg of the compasses at B , and with an opening less than BC**describe a circle**. We have the 2 circles required . 2. The surfaces having no part in common , but the circumferences touching at 1 point ...### 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.