The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
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Side 34
... shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA ...
... shown to be equal to the angle BAC ; therefore the whole exterior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these equals add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA ...
Side 36
... shown to be equal to it . Therefore , straight lines , & c . Q. E. D. PROP . XXXIV . THEOR . The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them in two equal ...
... shown to be equal to it . Therefore , straight lines , & c . Q. E. D. PROP . XXXIV . THEOR . The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them in two equal ...
Side 37
... shown to be equal to the angle BDC ; therefore the opposite sides and angles of the parallelograms are equal to one an- other ; also their diameter bisects them ; for AB being equal to CD , and BC common , the two A B , BC are equal to ...
... shown to be equal to the angle BDC ; therefore the opposite sides and angles of the parallelograms are equal to one an- other ; also their diameter bisects them ; for AB being equal to CD , and BC common , the two A B , BC are equal to ...
Side 70
... shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of ...
... shown , that no other point but F is the centre ; that is , F is the centre of the circle ABC : Which was to be found . COR . From this it is manifest , that if in a circle a straight line bisect another at right angles , the centre of ...
Side 72
... shown to be a right angle ; therefore FEA is equal to the angle FEB , the less to the greater , which is impossible : Therefore AC , BD do not bisect one another . Where- fore , if in a circle , & c . Q. E. D. PROP . V. THEOR . If two ...
... shown to be a right angle ; therefore FEA is equal to the angle FEB , the less to the greater , which is impossible : Therefore AC , BD do not bisect one another . Where- fore , if in a circle , & c . Q. E. D. PROP . V. THEOR . If two ...
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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