The Elements of Euclid [book 1] for beginners, by J. Lowres1852 |
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Side 11
... Theor . Theorem . 99 PROPOSITIONS . PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given right line . Let AB be the given line ; it is re- quired to describe an equilateral trian- gle upon it . From the centre A ...
... Theor . Theorem . 99 PROPOSITIONS . PROPOSITION I. PROBLEM . To describe an equilateral triangle upon a given right line . Let AB be the given line ; it is re- quired to describe an equilateral trian- gle upon it . From the centre A ...
Side 12
... was to be done . COR . By a similar construction the following problem may be solved : To produce the less of two given lines , till it be equal to the greater . PROP . IV . THEOR . If two triangles have 12 PROP . II . III .
... was to be done . COR . By a similar construction the following problem may be solved : To produce the less of two given lines , till it be equal to the greater . PROP . IV . THEOR . If two triangles have 12 PROP . II . III .
Side 13
Euclides Jacob Lowres. PROP . IV . THEOR . If two triangles have two sides and the contained angle in the one , respectively equal to two sides and the contained angle in the other , their ... THEOR . The angles at the base PROP . IV . 13.
Euclides Jacob Lowres. PROP . IV . THEOR . If two triangles have two sides and the contained angle in the one , respectively equal to two sides and the contained angle in the other , their ... THEOR . The angles at the base PROP . IV . 13.
Side 14
... THEOR . If two angles of a triangle be equal , the sides opposite to them are also equal . In the triangle CAB , let the angles C A B and CBA be equal ; the sides CA and C B are also equal . For if they be not equal , let one of them CA ...
... THEOR . If two angles of a triangle be equal , the sides opposite to them are also equal . In the triangle CAB , let the angles C A B and CBA be equal ; the sides CA and C B are also equal . For if they be not equal , let one of them CA ...
Side 15
Euclides Jacob Lowres. PROP . VII . THEOR . If two triangles , on the same base , and on the same side of it , have the sides which terminate in one end of the base equal , those sides which ... THEOR . If two triangles have PROP . VII . 15.
Euclides Jacob Lowres. PROP . VII . THEOR . If two triangles , on the same base , and on the same side of it , have the sides which terminate in one end of the base equal , those sides which ... THEOR . If two triangles have PROP . VII . 15.
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.