An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |
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Page xii
... as a chord , 180. To inscribe a regular hexagon , • 181. Approximate ratio of diameter to circumference , · 97 26 97 98 98 99 99 99 · 100 , 101 . 101 · . 101 . 102 · . 102 . 102 Section . 182. To find the area of a circle xii CONTENTS .
... as a chord , 180. To inscribe a regular hexagon , • 181. Approximate ratio of diameter to circumference , · 97 26 97 98 98 99 99 99 · 100 , 101 . 101 · . 101 . 102 · . 102 . 102 Section . 182. To find the area of a circle xii CONTENTS .
Page xiv
... circumference shall pass through two given points , 124 • 124 • 125 • · 126 • . 126 127 127 · 239 . 66 66 whose circumference shall pass through three given points , 127 241 . 242 . " L " 6 about a regular polygon , 128 ( " whose ...
... circumference shall pass through two given points , 124 • 124 • 125 • · 126 • . 126 127 127 · 239 . 66 66 whose circumference shall pass through three given points , 127 241 . 242 . " L " 6 about a regular polygon , 128 ( " whose ...
Page xvi
... circumferences and of the surfaces of two circles , 296. To describe a circle the surface of which shall be equal to the surfaces of two given circles , 297. Ratio of two cubes , 298. " " 299. " " 300. " C 301. 66 " cylinders or prisms ...
... circumferences and of the surfaces of two circles , 296. To describe a circle the surface of which shall be equal to the surfaces of two given circles , 297. Ratio of two cubes , 298. " " 299. " " 300. " C 301. 66 " cylinders or prisms ...
Page 9
... circumference is a line bounding such surface . Any portion of the circumfer- ence is called an arc , from a Latin ... circumference into two parts ; each portion of the circle is called a segment ; each portion of the ...
... circumference is a line bounding such surface . Any portion of the circumfer- ence is called an arc , from a Latin ... circumference into two parts ; each portion of the circle is called a segment ; each portion of the ...
Page 10
... circumference into two equal parts , called respectively semi - circles and semi - circum- ferences . A straight line drawn from the centre to any point in the circumference is called a radius . Two radii drawn in directly opposite ...
... circumference into two equal parts , called respectively semi - circles and semi - circum- ferences . A straight line drawn from the centre to any point in the circumference is called a radius . Two radii drawn in directly opposite ...
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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.