The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
Dentro del libro
Resultados 1-5 de 11
Página 16
... bisect a given rectilineal angle . Let BAC be the given angle , it is required to bisect it . D E Take any point D in the side a B , and from AC cut off a part A E equal to A D ( Prop . 3. ) : join DE , and upon it describe an ...
... bisect a given rectilineal angle . Let BAC be the given angle , it is required to bisect it . D E Take any point D in the side a B , and from AC cut off a part A E equal to A D ( Prop . 3. ) : join DE , and upon it describe an ...
Página 17
... 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 ACD and BCD , the side a c is equal to BC ...
... 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 ACD and BCD , the side a c is equal to BC ...
Página 18
... bisect EF in the point & ( Prop . 10. ) , and join ca ; then the line CG is perpen- dicular to A B. For draw the lines CE and CF ; then in the triangles GEC and GFC , the side CE is equal to CF , being radii of the same circle , and EG ...
... bisect EF in the point & ( Prop . 10. ) , and join ca ; then the line CG is perpen- dicular to A B. For draw the lines CE and CF ; then in the triangles GEC and GFC , the side CE is equal to CF , being radii of the same circle , and EG ...
Página 20
... Bisect the side вс in E ( Prop . 10. ) ; draw AE and produce it till EF is equal to AE ( Prop . 3. ) ; join FB . A P E B D Then in the triangles ACE and BEF the sides A E and EC in the one , are equal to the sides FE and EB in the other ...
... Bisect the side вс in E ( Prop . 10. ) ; draw AE and produce it till EF is equal to AE ( Prop . 3. ) ; join FB . A P E B D Then in the triangles ACE and BEF the sides A E and EC in the one , are equal to the sides FE and EB in the other ...
Página 22
... Bisect the angle ABC by the line BD ( Prop . 9. ) . Then the angle ADB is greater than the A interior angle DBC ... bisecting any other angle , it can be shown that the sides containing it are greater than the third side . W. W.D. PROP ...
... Bisect the angle ABC by the line BD ( Prop . 9. ) . Then the angle ADB is greater than the A interior angle DBC ... bisecting any other angle , it can be shown that the sides containing it are greater than the third side . W. W.D. PROP ...
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.