## 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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**convex surface**of the prism . Upon the triangles it is said to stand ; upon the quadrilaterals to lie . The triangular prism has 6 corners , or solid angles . If the prism stands , 3 corners are placed above and 3 below ; if it lies , 4 ... Page 9

... surface . The 2 plane surfaces , called the bases of the cylinder , are parallel ; they are of equal size , and each ...

... surface . The 2 plane surfaces , called the bases of the cylinder , are parallel ; they are of equal size , and each ...

**convex surface**of the cylinder , as the whole taken together is called . The**convex surface**is curved in one ... Page 11

... Surfaces . All three bodies are bounded by planes ; A by 5 ; B by 6 ; and C by 7. The

... Surfaces . All three bodies are bounded by planes ; A by 5 ; B by 6 ; and C by 7. The

**convex surface**of each is composed of rectangles ; A has 3 ; B has 6 ; C has 5. A is likewise bounded by 2 triangles ; C by 2 pentagons . 2. Corners ... Page 80

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**convex**side being upward ; therefore the bubble will rest in the middle of ...**surface**is the space described by a line moved in any direction but that of ...**surface**. A line has no 80 COMPARISON AND MENSURATION . Page 107

... SURFACES . The Prism and Cylinder . 188. The

... SURFACES . The Prism and Cylinder . 188. The

**convex surface**of a prism is composed of parallelograms having an equal altitude . The bases of the prism are equal polygons . Find the area of each face , and the sum of the whole will be ...### 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.