The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
Dentro del libro
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Página 8
... angles equal to one another , each of them is called a right angle ; and the right line which stands upon the other is called a perpendicular to it ; thus , if the line AB , standing upon CD , makes the angles ABC and ABD equal , each ...
... angles equal to one another , each of them is called a right angle ; and the right line which stands upon the other is called a perpendicular to it ; thus , if the line AB , standing upon CD , makes the angles ABC and ABD equal , each ...
Página 9
... equal sides ; as , the triangle ABC . 24. An isosceles triangle is that which has two equal sides ; as , the ... angle ; o as , the triangle KLM . 28. An obtuse - angled triangle is that which has one of its angles an obtuse angle ; as ...
... equal sides ; as , the triangle ABC . 24. An isosceles triangle is that which has two equal sides ; as , the ... angle ; o as , the triangle KLM . 28. An obtuse - angled triangle is that which has one of its angles an obtuse angle ; as ...
Página 13
... angle in the one , respectively equal to two sides and the contained angle in the other , their bases or third sides are likewise equal , and the re- maining angles of the one , are respectively equal to the remaining angles of the ...
... angle in the one , respectively equal to two sides and the contained angle in the other , their bases or third sides are likewise equal , and the re- maining angles of the one , are respectively equal to the remaining angles of the ...
Página 14
... equal , and if the equal sides be produced , the angles below the base are also equal . Let ABC be an isosceles ... angle B is common to both ; therefore the two triangles are equal in all respects ( Prop . 4. ) , the base Fc is equal to ...
... equal , and if the equal sides be produced , the angles below the base are also equal . Let ABC be an isosceles ... angle B is common to both ; therefore the two triangles are equal in all respects ( Prop . 4. ) , the base Fc is equal to ...
Página 15
... angle is without the other . A B Join CD , and if it be possible , let Bc be equal to BD then in the triangle CAD , because the sides AC and AD are equal ( Hyp . ) , the angles ACD and ADC are also equal ( Prop . 5. ) ; but the angle ...
... angle is without the other . A B Join CD , and if it be possible , let Bc be equal to BD then in the triangle CAD , because the sides AC and AD are equal ( Hyp . ) , the angles ACD and ADC are also equal ( Prop . 5. ) ; but the angle ...
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.