The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 sider |
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Side 72
... Similar segments of circles are those in which the angles are equal , or which contain equal angles . " " [ Note . In the following propositions , whenever the expression 66 straight lines from the centre , " or " drawn from the centre ...
... Similar segments of circles are those in which the angles are equal , or which contain equal angles . " " [ Note . In the following propositions , whenever the expression 66 straight lines from the centre , " or " drawn from the centre ...
Side 95
... similar segments of circles , and that similar segments of circles contain equal angles , [ III . Definition 11 . therefore the angle ACB is equal to the angle ADB ; that is , the exterior angle of the triangle ACD is equal to the ...
... similar segments of circles , and that similar segments of circles contain equal angles , [ III . Definition 11 . therefore the angle ACB is equal to the angle ADB ; that is , the exterior angle of the triangle ACD is equal to the ...
Side 96
Isaac Todhunter. PROPOSITION 24 . THEOREM . Similar segments of circles on equal straight lines are equal to one another . Let AEB , CFD be similar segments of circles on the equal straight lines AB , CD : the segment AEB shall be equal ...
Isaac Todhunter. PROPOSITION 24 . THEOREM . Similar segments of circles on equal straight lines are equal to one another . Let AEB , CFD be similar segments of circles on the equal straight lines AB , CD : the segment AEB shall be equal ...
Side 98
... similar to the segment EDF ; [ III.Def.11 . and they are on equal straight lines BC , EF . But similar segments of circles on equal straight lines are equal to one another ; [ III . 24 . therefore the segment BAC is equal to the segment ...
... similar to the segment EDF ; [ III.Def.11 . and they are on equal straight lines BC , EF . But similar segments of circles on equal straight lines are equal to one another ; [ III . 24 . therefore the segment BAC is equal to the segment ...
Side 172
... namely , AG and F to BG , and CH and E to DH , then AB and F together are greater than CD and E together . Wherefore , if four magnitudes & c . Q.E.D. BOOK VI . DEFINITIONS . 1. SIMILAR rectilineal figures are 172 EUCLID'S ELEMENTS .
... namely , AG and F to BG , and CH and E to DH , then AB and F together are greater than CD and E together . Wherefore , if four magnitudes & c . Q.E.D. BOOK VI . DEFINITIONS . 1. SIMILAR rectilineal figures are 172 EUCLID'S ELEMENTS .
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Vanlige uttrykk og setninger
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore