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

### From inside the book

Results 1-3 of 3

Page xiii

...

...

**parallelopiped**, 66 a cube , any**parallelopiped**, a triangular prism , any prism , a cylinder , a triangular pyramid , any pyramid , a cone , • solids in general , a sphere , VI . MISCELLANEOUS PROPOSITIONS . 209. To find the distance ... Page 111

...

...

**parallelopiped**. If all the faces are rectangles it is called a rectangular**parallelopiped**. 197. We will first seek the method of finding the solidity of a rectangular**parallelopiped**. Let us sup- pose its base to be 4 feet long and 3 ... Page 112

...

...

**parallelopiped**of equal altitude , to be constructed upon the same base . The rectangular**parallelopiped**is formed of an infinite number of rectangles , the bases of which compose the base of the**parallelopiped**; and the oblique ...### 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.