The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
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Seite 8
... perpendicular to it ; thus , if the line AB , standing upon CD , makes the angles ABC and ABD equal , each of them is a right angle , and AB is per- pendicular to C D. 12. One angle is said to be greater than another , when the lines ...
... perpendicular to it ; thus , if the line AB , standing upon CD , makes the angles ABC and ABD equal , each of them is a right angle , and AB is per- pendicular to C D. 12. One angle is said to be greater than another , when the lines ...
Seite 17
... perpendicular to the line AB . D C Take any point D in AC , and cut off from CB a part CF equal to CD ( Prop.3 ... perpendicular to AB ( Def . 11. ) , and it is drawn from the point c . Which was to be done . COR . In like manner a ...
... perpendicular to the line AB . D C Take any point D in AC , and cut off from CB a part CF equal to CD ( Prop.3 ... perpendicular to AB ( Def . 11. ) , and it is drawn from the point c . Which was to be done . COR . In like manner a ...
Seite 18
... perpendicular to AB . Take any point D , on the other side of A B , and from the centre c , with the radius CD , describe a circle cutting the line AB , A C E G F B Ꭰ or the line produced in the points E and F ; bisect EF in the point ...
... perpendicular to AB . Take any point D , on the other side of A B , and from the centre c , with the radius CD , describe a circle cutting the line AB , A C E G F B Ꭰ or the line produced in the points E and F ; bisect EF in the point ...
Seite 29
... perpendicular may be drawn from the end of a line , by describing an equilateral triangle upon it as a base , and producing one of the sides till the part produced be equal to the base , and joining the end of the produced line to the ...
... perpendicular may be drawn from the end of a line , by describing an equilateral triangle upon it as a base , and producing one of the sides till the part produced be equal to the base , and joining the end of the produced line to the ...
Seite 31
... perpendicular breadth , and the product will be the area . PROP . XXXVI . THEOR . Parallelograms upon equal bases and between the same parallels are equal . Let the parallelograms ABCD and EFGH be upon equal bases BC and FG , and ...
... perpendicular breadth , and the product will be the area . PROP . XXXVI . THEOR . Parallelograms upon equal bases and between the same parallels are equal . Let the parallelograms ABCD and EFGH be upon equal bases BC and FG , and ...
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The Elements of Euclid [Book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Keine Leseprobe verfügbar - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Keine Leseprobe verfügbar - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Keine Leseprobe verfügbar - 2018 |
Häufige Begriffe und Wortgruppen
A B and C D A B is equal ABC and ABD ABCD adjacent angles alternate angles angle ABC angle BAC angle equal angle opposite angles AGF angles CAB angles DBA base BC BC is equal BD Prop BGF and EHD bisect coincide DBC are equal demonstrated describe an equilateral diagonal draw EHD are equal equal Ax equal bases equal Hyp equal Prop equal sides equal to CD equal triangles equilateral triangle EUCLID's ELEMENTS exterior given angle given line given point greater than AC hypotenuse interior angles interior opposite angle isosceles triangle join Let the line line BC lines A B parallel Prop parallel to BC parallelogram perpendicular price One Shilling PROB produced proposition rectilineal figure respectively equal right angles Prop SCHOL side A B sides AB sides BC THEOR triangle ABC triangles are equal Twickenham vertex W. W. D. PROP
Beliebte Passagen
Seite 10 - Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Seite 10 - Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.
Seite 40 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 10 - 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...
Seite 10 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 39 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Seite 20 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite 29 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Seite 22 - Any two sides of a triangle are together greater than the third side.
Seite 10 - 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.