The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
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Side 8
... 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 which form the angle are farther from each ...
... 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 which form the angle are farther from each ...
Side 9
... AB and CD . 31. A square is a quadrilateral figure , having all its sides equal and all its angles right angles ; as , H. 32. An oblong or rectangle is a qua- drilateral figure , having all its angles right angles , but its length ...
... AB and CD . 31. A square is a quadrilateral figure , having all its sides equal and all its angles right angles ; as , H. 32. An oblong or rectangle is a qua- drilateral figure , having all its angles right angles , but its length ...
Side 12
... AB be the greater of two lines , and CD the less ; it is required to cut off from AB , a part equal to CD . C G A From the point A draw a line AG equal to CD ( Prop . 2. ) , and from the centre A , with the radius AG , describe a circle ...
... AB be the greater of two lines , and CD the less ; it is required to cut off from AB , a part equal to CD . C G A From the point A draw a line AG equal to CD ( Prop . 2. ) , and from the centre A , with the radius AG , describe a circle ...
Side 15
... AB , and on the same side of it , have the sides AC and AD equal ; then the sides BC and BD are not equal . CASE 1. When the vertex of each tri- angle is without the other . A B Join CD , and if it be possible , let Bc be equal to BD ...
... AB , and on the same side of it , have the sides AC and AD equal ; then the sides BC and BD are not equal . CASE 1. When the vertex of each tri- angle is without the other . A B Join CD , and if it be possible , let Bc be equal to BD ...
Side 17
... A B be the given line , it is required to bisect it . Upon A B describe an equilateral triangle ABC ( Prop . I. ) , and bisect the angle ACB by the line CD ( Prop . 9. ) ; then AB is bisected in the point D. A D B For in the triangles ...
... A B be the given line , it is required to bisect it . Upon A B describe an equilateral triangle ABC ( Prop . I. ) , and bisect the angle ACB by the line CD ( Prop . 9. ) ; then AB is bisected in the point D. A D B For in the triangles ...
Andre utgaver - Vis alle
The Elements of Euclid [Book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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...
Side 10 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 20 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side 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.
Side 22 - Any two sides of a triangle are together greater than the third side.
Side 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.