The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Resultat 1-5 av 36
Side 8
... base BC shall be equal to the base EF ; B and the triangle ABC to the A.A CE T triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABC to the angle DEF , 8 EUCLID'S ...
... base BC shall be equal to the base EF ; B and the triangle ABC to the A.A CE T triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABC to the angle DEF , 8 EUCLID'S ...
Side 9
... base BC shall co- incide with the base EF , because the point в coin- ciding with E , and c with F , if the base BC does not coincide with the base EF , two straight lines would inclose a space , which is impossible ( Ax . 10. ) Therefore ...
... base BC shall co- incide with the base EF , because the point в coin- ciding with E , and c with F , if the base BC does not coincide with the base EF , two straight lines would inclose a space , which is impossible ( Ax . 10. ) Therefore ...
Side 10
... base BC is common to the two angles BFC , CGB ; where- fore the triangles are equal ( 1. 4. ) , and their re- maining angles , each to each , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB ...
... base BC is common to the two angles BFC , CGB ; where- fore the triangles are equal ( 1. 4. ) , and their re- maining angles , each to each , to which the equal sides are opposite ; therefore the angle FBC is equal to the angle GCB ...
Side 11
... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ... BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to ...
... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ... BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; and the angle DBC is equal to ...
Side 13
... base BC equal to the base E F. The angle BAC is equal to the angle E DF . B D G CE For if the triangle ABC be applied to DEF , so that the point в be on E , and the straight line BC upon EF ; the point C shall also coincide with the point ...
... base BC equal to the base E F. The angle BAC is equal to the angle E DF . B D G CE For if the triangle ABC be applied to DEF , so that the point в be on E , and the straight line BC upon EF ; the point C shall also coincide with the point ...
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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