Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green1863 |
Inni boken
Side 3
... the second , of Rectangles upon the parts into which a straight line may be divided ; the third book , of those Properties of the Circle which can be deduced from the preceding books ; the fourth book , of such regular and.
... the second , of Rectangles upon the parts into which a straight line may be divided ; the third book , of those Properties of the Circle which can be deduced from the preceding books ; the fourth book , of such regular and.
Side 5
... divided by . root . : ratio . :: equality of ratios . :: proportion . ::: progression . II - Representative , or Geometrical Signs . Langle . perpendicular to . straight line . △ triangle . parallel to . square . rectangle ...
... divided by . root . : ratio . :: equality of ratios . :: proportion . ::: progression . II - Representative , or Geometrical Signs . Langle . perpendicular to . straight line . △ triangle . parallel to . square . rectangle ...
Side 12
... divided into 360 equal parts , each part being called a degree . When the circumference is thus divided , and lines are drawn from the centre to each of these divisions , the angle formed by every adjacent pair of lines is called an ...
... divided into 360 equal parts , each part being called a degree . When the circumference is thus divided , and lines are drawn from the centre to each of these divisions , the angle formed by every adjacent pair of lines is called an ...
Side 13
... divided into two semicircles , of 180 degrees each . The Theodolite ( a word of uncertain derivation ) , has revolving on its centre C , a graduated index , on which is fixed a telescope SCF , with fine cross wires on the object glass F ...
... divided into two semicircles , of 180 degrees each . The Theodolite ( a word of uncertain derivation ) , has revolving on its centre C , a graduated index , on which is fixed a telescope SCF , with fine cross wires on the object glass F ...
Side 25
... divided into any number of equal parts indicated by a power of two , as into four , eight , sixteen , thirty - two , & c . equal parts . 3. Hitherto no method has been discovered of trisecting an angle by Plane Geometry , so that the ...
... divided into any number of equal parts indicated by a power of two , as into four , eight , sixteen , thirty - two , & c . equal parts . 3. Hitherto no method has been discovered of trisecting an angle by Plane Geometry , so that the ...
Vanlige uttrykk og setninger
AB² ABCD adjacent angles altitude angle equal angular point Axiom base BC bisected centre circle circumference coincide CON.-Pst Conc construct Deansgate diagonal diameter divided drawn equal bases equal sides equal triangles equil Euclid exterior angle four rt given line given point given st hypotenuse inference interior angles intersect JOHN HEYWOOD join Let the st line BC line CD measure meet miles opposite angles parallel parallelogram perpendicular Plane Geometry produced PROP proposition proved Quæs rectangle rectil rectilineal angle rectilineal figure right angles Scale of Equal side AC sides and angles square straight line surface Syene Theodolite theorem thing vertex Wherefore
Populære avsnitt
Side 36 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 17 - 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...
Side 17 - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Side 41 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.
Side 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 16 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 54 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Side 21 - If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another.
Side 22 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base, equal to one another, and likewise those which are terminated in the other extremity.
Side 12 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.