## 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 16

Page 9

... 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 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 distant from the middle point of the surface . In ... Page 14

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**line**joining the vertices of any two angles of a polygon , which are not ...**Curved**. 1 circumference ; 4 semi - circum- ferences ; 4 quarter ...**line**; bisect it , that is , divide it into 2 equal parts ; at the division point ... Page 48

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**curved line**thus made shall return into itself , and form a complete figure . This**curved line**is the circumference of a circle ; the point of the fixed leg is the centre of the circle . The size of the circle depends upon the greater ... Page 52

... line AB into 2 , 4 , 8 , 16 , & c . , equal parts , ( fig . 47. ) From A and B , as centres , with equal radii ...

... line AB into 2 , 4 , 8 , 16 , & c . , equal parts , ( fig . 47. ) From A and B , as centres , with equal radii ...

**curved line**like a steel spring , ( fig . 49. ) Draw a straight line , and take in it any point A. From A , as a ... Page 53

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**curved line**winding like a snail- shell , ( fig . 50. ) Draw a straight line and take in it a point A. On each side of this point measure off in the line several small equal parts , for example 3 , viz . , AD , DH , HB , AC , CG , GL ...### 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.