Scientific and practical geometry for self-instruction1879 |
From inside the book
Results 1-5 of 80
Page x
... ac- count for the comparatively little use made of the proposi- tion and of the deductions from it . In Euclid the triangle is so placed that the hypothenuse appears at the base , and the two sides as slant lines , not ob- viously ...
... ac- count for the comparatively little use made of the proposi- tion and of the deductions from it . In Euclid the triangle is so placed that the hypothenuse appears at the base , and the two sides as slant lines , not ob- viously ...
Page 2
... ac , gh , and bd , are right lines , the lines bc , and ik , are curved lines , as would be any other bending lines ... side of the least distance if continued ; thus in Fig . A 3 , the lines CD and EF are oblique . Perpendicular , when with ...
... ac , gh , and bd , are right lines , the lines bc , and ik , are curved lines , as would be any other bending lines ... side of the least distance if continued ; thus in Fig . A 3 , the lines CD and EF are oblique . Perpendicular , when with ...
Page 3
... ac equal two right angles . The different kinds of Angles are Acute , or less than a right angle , as kfl or any angle less than ifl ( dotted arc 1 to 1 ) . Right , when the one side ... sides being immate- rial , the opening giving the angle ...
... ac equal two right angles . The different kinds of Angles are Acute , or less than a right angle , as kfl or any angle less than ifl ( dotted arc 1 to 1 ) . Right , when the one side ... sides being immate- rial , the opening giving the angle ...
Page 5
... side opposed to the right angle ( ah ) is called the Hypothenuse , and the two other sides ( ac and ch ) the Base and Perpendi- cular . In other triangles the point of the angle opposed to the side taken as base is termed the Apex or ...
... side opposed to the right angle ( ah ) is called the Hypothenuse , and the two other sides ( ac and ch ) the Base and Perpendi- cular . In other triangles the point of the angle opposed to the side taken as base is termed the Apex or ...
Page 21
... side ( ac ) of the right angle , and from point a , along that side , draw the line ac , continuing the same to d , or to any other distance required , either by an ordinary ruler or by removing the set square . 4. On the Land , Fig . 3 ...
... side ( ac ) of the right angle , and from point a , along that side , draw the line ac , continuing the same to d , or to any other distance required , either by an ordinary ruler or by removing the set square . 4. On the Land , Fig . 3 ...
Common terms and phrases
ab² abcd ac² adjacent angles altitude angles equal angles Sect Application axis bisected centre chord circle circumference consequently construction continued contour corresponding angles cutting deduction demonstration diagonal diameter distance divided division draw arc draw line draw the indefinite drawn ellipse equal angles equal bases equal Sect equal sides equidistant equivalent triangle Euclid example exterior angle external angle four right angles frustrum geometrical operations give greater hypothenuse inches included angle indefinite line isosceles triangle length Let abc let fall line ac line cd mark measure half mode Multiply number of sides oblique opposed angle parallel ruler parallelogram pendicular polygons proof proposition radii ratio rectangle reflex angle rhombus right line rule in Sect secant Sectns segment semicircle set square side ab side ac similar triangles slant height summit supplementary angles tangent third side trapezium triangle abc
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.