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 60
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 FC is equal ( 1. 4. ) to the base GB , and the triangle AFC to the triangle AGB ; and the remain- ing angles of the one are equal- ( 1.4 . ) to the remaining angles of the other , each to each , to which the equal sides are ...
... base FC is equal ( 1. 4. ) to the base GB , and the triangle AFC to the triangle AGB ; and the remain- ing angles of the one are equal- ( 1.4 . ) to the remaining angles of the other , each to each , to which the equal sides are ...
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 angles upon the other side of the base . Therefore the angles at the base , & c . Q. E. D. COROLLARY . Hence every ...
... base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the angles upon the other side of the base . Therefore the angles at the base , & c . Q. E. D. COROLLARY . Hence every ...
Side 12
... base equal to one another , and likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA ...
... base equal to one another , and likewise those which are terminated in the other extremity . If it be possible , let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which have their sides CA ...
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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