An Introduction to Geometry and the Science of Form: Prepared from the Most Approved Prussian Text-books |
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Page xi
... perpendicular to the middle of a straight line , is at equal distances from extremities of that line , 137. Of lines drawn obliquely to a perpendicular , 138. Case of equal triangles , 139. Greater side of a triangle opposite to ...
... perpendicular to the middle of a straight line , is at equal distances from extremities of that line , 137. Of lines drawn obliquely to a perpendicular , 138. Case of equal triangles , 139. Greater side of a triangle opposite to ...
Page xii
... perpendicular to the middle of a chord bisects the arc and the angle , • 168. To find the middle of a chord , 169. 66 the centre of a circle , 171. To draw a tangent to a circle , 172. Measure of an inscribed angle , 173 . to Value of ...
... perpendicular to the middle of a chord bisects the arc and the angle , • 168. To find the middle of a chord , 169. 66 the centre of a circle , 171. To draw a tangent to a circle , 172. Measure of an inscribed angle , 173 . to Value of ...
Page xv
... perpendicular height of a tower when it cannot be exactly measured , 270. To construct upon a given base a triangle similar to a given triangle , 141 • 142 142 144 274. 66 275. " 6 from the windows of a house the height of an object ...
... perpendicular height of a tower when it cannot be exactly measured , 270. To construct upon a given base a triangle similar to a given triangle , 141 • 142 142 144 274. 66 275. " 6 from the windows of a house the height of an object ...
Page 2
... perpendicular one to the other . Thus , the adja- cent sides of the cube are perpendicular to one another , because they make right angles with each other . The faces also make right angles with one another , and 2 EXAMINATION AND ...
... perpendicular one to the other . Thus , the adja- cent sides of the cube are perpendicular to one another , because they make right angles with each other . The faces also make right angles with one another , and 2 EXAMINATION AND ...
Page 3
... perpendicular . The opposite faces of the cube are parallel to each other ; that is , they are in all parts at the same distance from each other , and would never meet however far they were extended in every direction . If the cube lies ...
... perpendicular . The opposite faces of the cube are parallel to each other ; that is , they are in all parts at the same distance from each other , and would never meet however far they were extended in every direction . If the cube lies ...
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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.