The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
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Página 10
... diagonal or diameter . POSTULATES . 1. Let it be granted that a right line may be drawn from any one point to any other point . 2. That a terminated right line may be produced to any length in a right line . 3. That a circle may be ...
... diagonal or diameter . POSTULATES . 1. Let it be granted that a right line may be drawn from any one point to any other point . 2. That a terminated right line may be produced to any length in a right line . 3. That a circle may be ...
Página 30
... diagonal в C. And because the line в c falls on the parallels A B and C D , the alternate angles B CD and ABC are ... diagonal divides it into two equal parts . Let ABCD be a parallelogram , and BC the diagonal ; the side A B is equal to ...
... diagonal в C. And because the line в c falls on the parallels A B and C D , the alternate angles B CD and ABC are ... diagonal divides it into two equal parts . Let ABCD be a parallelogram , and BC the diagonal ; the side A B is equal to ...
Página 35
... diagonal ; also let FE and HL be the parallelograms about the diagonal ; then the complements BG and GD which complete the figure are equal . F B H G E D L Because each parallelogram is divided by its diagonal into two equal parts ...
... diagonal ; also let FE and HL be the parallelograms about the diagonal ; then the complements BG and GD which complete the figure are equal . F B H G E D L Because each parallelogram is divided by its diagonal into two equal parts ...
Página 37
... diagonal be given , the square can be constructed . COR . 6. The diagonal of a square divides it into two isosceles triangles . COR . 7. If the diagonal of a square be given , the square can be constructed . PROP . XLVII . THEOR . In a ...
... diagonal be given , the square can be constructed . COR . 6. The diagonal of a square divides it into two isosceles triangles . COR . 7. If the diagonal of a square be given , the square can be constructed . PROP . XLVII . THEOR . In a ...
Página 40
... diagonal of a square are squares . 9. To bisect a right angle . 10. To bisect a right line . 11. The diagonals of a parallelogram divide it into four equal parts . 12. In a square the diagonals cross one another at right angles . 13. To ...
... diagonal of a square are squares . 9. To bisect a right angle . 10. To bisect a right line . 11. The diagonals of a parallelogram divide it into four equal parts . 12. In a square the diagonals cross one another at right angles . 13. To ...
Otras ediciones - Ver todas
The Elements of Euclid [Book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Sin vista previa disponible - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Sin vista previa disponible - 2018 |
The Elements of Euclid [book 1] for Beginners, by J. Lowres Joseph Butler,Thomas Codrington,Euclides Sin vista previa disponible - 2018 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 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...
Página 10 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 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.
Página 20 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Página 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.
Página 22 - Any two sides of a triangle are together greater than the third side.
Página 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.