The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 6-10 av 27
Side 90
... segment BADC is greater than a semicircle ; and the angles in it BAC , BEC are equal , by the first case : For the same reason , because CBED is greater than a semicircle , the an- A E C D gles CAD , CED are equal : Therefore the whole ...
... segment BADC is greater than a semicircle ; and the angles in it BAC , BEC are equal , by the first case : For the same reason , because CBED is greater than a semicircle , the an- A E C D gles CAD , CED are equal : Therefore the whole ...
Side 91
... segment ADB , and that similar segments of circles contain ( III . Def . 11. ) equal angles ; the angle ACB is equal ... segment AEB is equal to the segment CFD . For if the segment AEB be applied to the segment 1 4 BOOK III . PROPS ...
... segment ADB , and that similar segments of circles contain ( III . Def . 11. ) equal angles ; the angle ACB is equal ... segment AEB is equal to the segment CFD . For if the segment AEB be applied to the segment 1 4 BOOK III . PROPS ...
Side 92
... segment AEB must ( III . 23. ) coincide with the segment CFD , and therefore is equal to it . Wherefore similar segments , & c . Q. E. D. PROP . XXV . PROB . A segment of a circle being given , to describe the circle of which it is the ...
... segment AEB must ( III . 23. ) coincide with the segment CFD , and therefore is equal to it . Wherefore similar segments , & c . Q. E. D. PROP . XXV . PROB . A segment of a circle being given , to describe the circle of which it is the ...
Side 93
... segment ABC , which is therefore greater than a semicircle Wherefore a segment of a circle being given , the circle is described of which it is a seg- ment . Which was to be done . PROP . XXVI . THEOR . In equal circles , equal angles ...
... segment ABC , which is therefore greater than a semicircle Wherefore a segment of a circle being given , the circle is described of which it is a seg- ment . Which was to be done . PROP . XXVI . THEOR . In equal circles , equal angles ...
Side 94
... segment BAC is similar ( III . Def . 11. ) to the segment EDF ; and they are upon equal straight lines BC , EF ; but similar segments of circles upon equal straight lines are equal ( III . 24. ) to one another , therefore the seg- ment ...
... segment BAC is similar ( III . Def . 11. ) to the segment EDF ; and they are upon equal straight lines BC , EF ; but similar segments of circles upon equal straight lines are equal ( III . 24. ) to one another , therefore the seg- ment ...
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The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle