An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |
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Page 59
... angle equal to a given angle AOB , ( fig . 58. ) Sol . 1. With the Protractor . Measure the number of degrees in ... erect the perpendicular CF , which is the line required . Sol . 2. Draw from C a straight line meeting AB at any ...
... angle equal to a given angle AOB , ( fig . 58. ) Sol . 1. With the Protractor . Measure the number of degrees in ... erect the perpendicular CF , which is the line required . Sol . 2. Draw from C a straight line meeting AB at any ...
Page 63
... construct a right - angled isosceles triangle upon the line AB , with a right angle adjacent to the side AB , ( fig . 66. ) Sol . At either of the points A or B erect a perpen- dicular to the line AB . In this perpendicular take BCBA ...
... construct a right - angled isosceles triangle upon the line AB , with a right angle adjacent to the side AB , ( fig . 66. ) Sol . At either of the points A or B erect a perpen- dicular to the line AB . In this perpendicular take BCBA ...
Page 64
... erect a perpendicular to the line AB . In this perpendicular take AC = AB . Through the point C draw CD equal and parallel to AB ; and through B draw BD equal and parallel to AC . ABCD is the required square . 80. To construct a ...
... erect a perpendicular to the line AB . In this perpendicular take AC = AB . Through the point C draw CD equal and parallel to AB ; and through B draw BD equal and parallel to AC . ABCD is the required square . 80. To construct a ...
Page 66
... erect a perpendicular to AB . Take any points C and D in this perpendicular ; through them draw lines parallel to AB . Through B draw a line parallel to AC . Thus we have constructed 2 rec- tangular parallelograms upon AB . Again ...
... erect a perpendicular to AB . Take any points C and D in this perpendicular ; through them draw lines parallel to AB . Through B draw a line parallel to AC . Thus we have constructed 2 rec- tangular parallelograms upon AB . Again ...
Page 69
... perpendicular upon one of the sides of the square ; then , from the same ... erect perpendiculars . From the point where these perpendiculars intersect ... CONSTRUCTION OF THE SKELETONS OF SOLIDS . 93. We have before made rude ...
... perpendicular upon one of the sides of the square ; then , from the same ... erect perpendiculars . From the point where these perpendiculars intersect ... CONSTRUCTION OF THE SKELETONS OF SOLIDS . 93. We have before made rude ...
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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.