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

### From inside the book

Results 6-10 of 10

Page 99

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**passes through**the centre of the circle . There- fore we can find the centre of a circle by erecting a per ...**line**AB is more than the length of a radius distant from the centre O , and therefore is without the circle . Thus the**line**... Page 108

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**passes through**the centre of the base , then all the triangles of the convex surface will be equal , and its area ...**line**AB , ( fig . 11 , ) drawn from the vertex of the cone to the circumference of the base , is called . By ... Page 126

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**passes**also**through**B. Now AC is a tangent to the circle , ( 170 ; ) therefore angle AEB = angle CAB , ( 178 ...**line**; take ABM ; describe upon AB a segment capable of containing the angle O. Upon AB at any point G erect a perpendicular , ... Page 144

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**passes**with the greatest ease . If AC 100 feet , and we have a**line**255 feet in length to be marked off ; then extend the points of the compasses from 2 of the larger divisions to 5 on the 5th**line**of the subdivisions , that is on ... Page 147

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**line**into any number of equal parts . We have frequently had occasion to divide**lines**into equal parts , and have done so directly with the com-**passes**. We will now do it by a method which admits of the accuracy of the division being ...### 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.