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 35
Side 5
... whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meets two straight B 3 BOOK I. POSTULATES AND AXIOMS . 5 XXXIV. All other four ...
... whole is greater than its part . X. Two straight lines cannot inclose a space . XI . All right angles are equal to one another . XII . " If a straight line meets two straight B 3 BOOK I. POSTULATES AND AXIOMS . 5 XXXIV. All other four ...
Side 9
... whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF ...
... whole triangle ABC shall coincide with the whole triangle DEF , and be equal to it ; and the other angles of the one shall coincide with the remaining angles of the other , and be equal to them , viz . the angle ABC to the angle DEF ...
Side 10
... whole AF is equal to the whole AG , of which the parts AB , AC , are equal the remainder B F shall be equal ( Ax . 3. ) to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG ...
... whole AF is equal to the whole AG , of which the parts AB , AC , are equal the remainder B F shall be equal ( Ax . 3. ) to the remainder CG ; and FC was proved to be equal to GB ; therefore the two sides BF , FC are equal to the two CG ...
Side 34
... 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 , BAC , ACB ; but the angles ACD , ACB are equal ( 1 ...
... 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 , BAC , ACB ; but the angles ACD , ACB are equal ( 1 ...
Side 37
... whole angle ABD is equal to the whole angle ACD : And the angle BAC has been 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 ...
... whole angle ABD is equal to the whole angle ACD : And the angle BAC has been 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 ...
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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