Euclid's plane geometry, practically applied; book i, with explanatory notes, by H. Green1863 |
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Página 11
... centre is at the angular point , and the arc cuts the lines forming the angle : thus the arc ec is the measure of the angle EDC ; arc eg , of angle EDG , & c . A degree old is the 360th part of the circumference of a circle . 10. When a ...
... centre is at the angular point , and the arc cuts the lines forming the angle : thus the arc ec is the measure of the angle EDC ; arc eg , of angle EDG , & c . A degree old is the 360th part of the circumference of a circle . 10. When a ...
Página 12
... centre of the circle ADBE , having the lines CA , CD , CB , & c . , all equal . The straight lines from the centre to the circum- ference are radii . D H A B C F G 17. A diameter of a circle ( diametros , a measure through ) , is any ...
... centre of the circle ADBE , having the lines CA , CD , CB , & c . , all equal . The straight lines from the centre to the circum- ference are radii . D H A B C F G 17. A diameter of a circle ( diametros , a measure through ) , is any ...
Página 13
... centre C , a graduated index , on which is fixed a telescope SCF , with fine cross wires on the object glass F. There are also spirit levels attached , for ascertain- ing the true horizontal line . The observer sets the telescope SCF ...
... centre C , a graduated index , on which is fixed a telescope SCF , with fine cross wires on the object glass F. There are also spirit levels attached , for ascertain- ing the true horizontal line . The observer sets the telescope SCF ...
Página 15
... centre at any distance from that centre . The first and second Postulates concede the use of a ruler , but not of a scale ; the third , that of the compasses , -but not that a circle can be described round a given centre with a radius ...
... centre at any distance from that centre . The first and second Postulates concede the use of a ruler , but not of a scale ; the third , that of the compasses , -but not that a circle can be described round a given centre with a radius ...
Página 17
... centre A , with AB , describe BCD ; from centre B , with BA , describe ACE ; and from • C , or F , where D B the Os cut , draw CA , CB , or FA , FB ; then A ABC , or △ FBA , shall be an equil A. D.1 by C. 1.Def.15 .. A is the centre of ...
... centre A , with AB , describe BCD ; from centre B , with BA , describe ACE ; and from • C , or F , where D B the Os cut , draw CA , CB , or FA , FB ; then A ABC , or △ FBA , shall be an equil A. D.1 by C. 1.Def.15 .. A is the centre of ...
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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.
Página 41 - We assume that but one straight line can be drawn through a given point parallel to a given straight line.
Página 13 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 16 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 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.
Página 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.
Página 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.
Página 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.