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

### From inside the book

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**pentagon**. A regular 6 - sided figure , that is , a hexagon . A regular 7 - sided figure , that is , a heptagon . A ...**pentagon**, & c . , to the decagon . THE CYLINDER . 10. Let us now examine the cylinder . A round pillar is a ... Page 10

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**pentagon**. A regular**pentagon**about a circle . A circle in a regular**pentagon**. Note . - 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 ... Page 26

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**pentagon**are 5 vertices ; each is connected with 2 others by the bounding lines ; therefore from each vertex only 2 diagonals can be drawn ; from the 5 vertices 2 × 5 = 10 ; but this is double the real num- 2X5 ber , which is = 5 . 2 4 ... Page 27

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**pentagon**5 ( 5—3 ) = 5 2 29. Suppose the greatest number of diagonals which can be drawn in a polygon to be 35 , how many sides has the polygon ? Answer . This number 35 is the half of a product found by multiplying together two numbers ... Page 36

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**Pentagon**. 5 ob . 4 ob . 1 R. A. 4 ob . 1 ac . 3 ob . 2 R. A. 3 ob . 1 R. A. 1 ac . 3. The Hexagon . ent cases . 1 ob . 3 ac . 7 cases , ( fig . 40. ) 3 ob . 2 ac . 2 ob . 3 R. A. 2 ob . 2 R. A. 1 ac . 2 ob . 1 R. A. 2 ac . 2 ob . 3 ac ...### 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.