The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 9
... remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have ...
... remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and have ...
Side 10
... remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the angle ABG , and the angle AFC to the angle ... remaining angle ABC is therefore equal to the remaining 10 EUCLID'S ELEMENTS .
... remaining angles of the other , each to each , to which the equal sides are opposite ; viz . the angle ACF to the angle ABG , and the angle AFC to the angle ... remaining angle ABC is therefore equal to the remaining 10 EUCLID'S ELEMENTS .
Side 11
Euclides Thomas Tate. the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...
Euclides Thomas Tate. the remaining angle ABC is therefore equal to the remaining angle ACB , which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB , which are the ...
Side 19
... remaining angle ABE is equal ( Ax . 3. ) to the remaining angle A B D , the less to the greater , which is impossible ; therefore BE is not in the same straight line with B C. And , in like manner , it may be demonstrated that no other ...
... remaining angle ABE is equal ( Ax . 3. ) to the remaining angle A B D , the less to the greater , which is impossible ; therefore BE is not in the same straight line with B C. And , in like manner , it may be demonstrated that no other ...
Side 20
... remaining angles to the remaining angles , each to each , to which the equal sides are opposite : wherefore the angle B A E is equal to the angle ECF ; but the angle E CD is greater than the angle ECF ; therefore the angle ACD is ...
... remaining angles to the remaining angles , each to each , to which the equal sides are opposite : wherefore the angle B A E is equal to the angle ECF ; but the angle E CD is greater than the angle ECF ; therefore the angle ACD is ...
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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