Scientific and practical geometry for self-instruction1879 |
From inside the book
Results 1-5 of 27
Page vi
... special point of view , according to the ultimate object of the student being to apply the science to naval or military matters , to mensuration , or to other purposes . The consequence is , that not only do French works vi INTRODUCTION .
... special point of view , according to the ultimate object of the student being to apply the science to naval or military matters , to mensuration , or to other purposes . The consequence is , that not only do French works vi INTRODUCTION .
Page 3
... according to the extent of the opening acute , right , obtuse , flat ( or double right ) , and reflex or more than two and less than four right angles . Before generally explaining the various angles it may be remarked that in Fig . C 1 ...
... according to the extent of the opening acute , right , obtuse , flat ( or double right ) , and reflex or more than two and less than four right angles . Before generally explaining the various angles it may be remarked that in Fig . C 1 ...
Page 4
... according to the sides or their angles , as they have as many sides as angles , the least number being 3 . 10. Figures having 3 sides only and 3 angles are called Triangles , and there are 6 varieties , 3 in relation to the sides and 3 ...
... according to the sides or their angles , as they have as many sides as angles , the least number being 3 . 10. Figures having 3 sides only and 3 angles are called Triangles , and there are 6 varieties , 3 in relation to the sides and 3 ...
Page 6
... according to the number of their sides or angles , and are called regular if all the sides and angles are equal , and irregular if not so equal . Pentagon , figure of five sides ; Hexagon , six sides ; Heptagon , seven sides ; Octagon ...
... according to the number of their sides or angles , and are called regular if all the sides and angles are equal , and irregular if not so equal . Pentagon , figure of five sides ; Hexagon , six sides ; Heptagon , seven sides ; Octagon ...
Page 34
... according to the squares of the sides dh and dg in Fig . 26. And the triangle hij being similar to triangle afc , and df in Fig . 26 being equal to the df in Fig . 25 , by the parallel hi the altitude di in Fig . 26 and = dh in Fig . 25 ...
... according to the squares of the sides dh and dg in Fig . 26. And the triangle hij being similar to triangle afc , and df in Fig . 26 being equal to the df in Fig . 25 , by the parallel hi the altitude di in Fig . 26 and = dh in Fig . 25 ...
Common terms and phrases
abcd according added adopted altitude Application axis base bisected centre chord circle circumference common complete consequently construction contain continued convert corresponding cutting deduction demonstration diagonal diameter direction distance divided division double draw line drawn ellipse entire equal equal sides equidistant equivalent Euclid example external angle figure four geometrical give given greater half height hypothenuse inches included indefinite join latter length less line ac mark mean measure mode Multiply oblique operations opposed angle opposite parallel parallelogram passing perpendicular portion practical proof proportion proposition radius ratio rectangle regards remarks respectively result right angles right line rule secant Sect segment semicircle shown side ac similar simple square student summit surface taken taking tangent term third triangle
Popular passages
Page 14 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Page 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 7 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.
Page 96 - Any two sides of a triangle are together greater than the third side.
Page 73 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 278 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 14 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 266 - A sphere is a solid, bounded by a curved surface, every part of which is equally distant from a point within, called the centre.
Page 45 - From a given point without a line, to draw a perpendicular to that line. Let AB be the given line, and C the given point. From C draw any oblique line, as Cn.
Page 9 - The sign, + , which is read plus, indicates that the numbers between which it is placed are to be added ; thus, 6 + 4, means, that 4 is to be added to 6.