An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |
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Page xiv
... 2 , 3 , 4 , or more equal parts , 119 219. A straight line drawn through the middle of a diagonal of a parallelogram ... pass through two given points , 124 • 124 • 125 • · 126 • . 126 127 127 · 239 . 66 66 whose circumference ...
... 2 , 3 , 4 , or more equal parts , 119 219. A straight line drawn through the middle of a diagonal of a parallelogram ... pass through two given points , 124 • 124 • 125 • · 126 • . 126 127 127 · 239 . 66 66 whose circumference ...
Page 1
... 2 surfaces , -1 at each straight line ; 3 surface axes , that is , imaginary straight lines from the middle of one surface to the middle of the opposite surface , upon ... pass- ing from corner to corner , through the middle point.
... 2 surfaces , -1 at each straight line ; 3 surface axes , that is , imaginary straight lines from the middle of one surface to the middle of the opposite surface , upon ... pass- ing from corner to corner , through the middle point.
Page 31
... passes 1 point , ( fig . 25. ) 3 R. 2 R. 1 ac . 2 R. 1 ob . 1 R. 1 ac . 1 ob . 2 ob . 1 ac . 1 ob . 2 ac . 3. When 1 line passes 2 points , ( fig . 26. ) 4 R. 2 R. 1 ob . 1 ac . 2 ob . 2 ac . 4. When 2 lines pass beyond the junction - ...
... passes 1 point , ( fig . 25. ) 3 R. 2 R. 1 ac . 2 R. 1 ob . 1 R. 1 ac . 1 ob . 2 ob . 1 ac . 1 ob . 2 ac . 3. When 1 line passes 2 points , ( fig . 26. ) 4 R. 2 R. 1 ob . 1 ac . 2 ob . 2 ac . 4. When 2 lines pass beyond the junction - ...
Page 32
... 2 . ) 4 R. 2 ac . 1 R. 2 ob . 3 ac . 2 ob . 4 ac . 3 ob . 3 ac . 4. When 2 lines pass each 1 point , ( fig . 32. ) 2 R. 1 ob . 2 ac . 1 R. 2 ob . 2 ac . 3 ob . 2 ac . 2 ob . 3 ac . 5. When 1 line passes 2 points and another passes 32 ...
... 2 . ) 4 R. 2 ac . 1 R. 2 ob . 3 ac . 2 ob . 4 ac . 3 ob . 3 ac . 4. When 2 lines pass each 1 point , ( fig . 32. ) 2 R. 1 ob . 2 ac . 1 R. 2 ob . 2 ac . 3 ob . 2 ac . 2 ob . 3 ac . 5. When 1 line passes 2 points and another passes 32 ...
Page 33
... passes 2 points and another passes 1 , ( fig . 33. ) 2 R. 2 ob . 2 ac . 3 ob . 3 ac . 1 R. 3 ob . 3 ac . 4 ob . 3 ac . 4 R. 1 ob . 2 ac . 2 R. 2 ob . 3 ac . 3 ob . 4 ac . 6. When 2 lines pass 2 points each , ( fig . 34. ) 4 R. 2 ob ...
... passes 2 points and another passes 1 , ( fig . 33. ) 2 R. 2 ob . 2 ac . 3 ob . 3 ac . 1 R. 3 ob . 3 ac . 4 ob . 3 ac . 4 R. 1 ob . 2 ac . 2 R. 2 ob . 3 ac . 3 ob . 4 ac . 6. When 2 lines pass 2 points each , ( fig . 34. ) 4 R. 2 ob ...
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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.