Geometry Without Axioms; Or the First Book of Euclid's Elements. With Alterations and Familiar Notes; and an Intercalary Book in which the Straight Line and Plane are Derived from Properties of the Sphere ...: To which is Added an Appendix ...Robert Heward, 1833 - 150 σελίδες |
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Αποτελέσματα 1 - 5 από τα 7.
Σελίδα 7
... unequal . And that sum is greatest , in which the unequal was greatest . For , of the unequals , one is greatest ; that is , it is equal to the other and a certain magnitude besides . But if to the equals were added equals , the sums ...
... unequal . And that sum is greatest , in which the unequal was greatest . For , of the unequals , one is greatest ; that is , it is equal to the other and a certain magnitude besides . But if to the equals were added equals , the sums ...
Σελίδα 8
... unequal . And that remainder is greatest , in which the unequal was greatest . For , of the unequals , one is equal to the other and a certain magnitude besides . But if the equals were taken from equals , the remainders ( by Cor . 7 ) ...
... unequal . And that remainder is greatest , in which the unequal was greatest . For , of the unequals , one is equal to the other and a certain magnitude besides . But if the equals were taken from equals , the remainders ( by Cor . 7 ) ...
Σελίδα 10
... unequal magnitudes , and from the double of the greater be taken the double of the less ; the re- mainder is double of the difference of the magnitudes . And so of any other equimultiples . Let A and B be two magnitudes ; of which A is ...
... unequal magnitudes , and from the double of the greater be taken the double of the less ; the re- mainder is double of the difference of the magnitudes . And so of any other equimultiples . Let A and B be two magnitudes ; of which A is ...
Σελίδα 15
... unequal ; wherefore , if their centres be applied to- gether , their surfaces ( by Cor . 5 ) will not coincide at all , but one + 1.Nom.15 . be interior to the other ; that is to say , one sphere will be greater + than the other ; which ...
... unequal ; wherefore , if their centres be applied to- gether , their surfaces ( by Cor . 5 ) will not coincide at all , but one + 1.Nom.15 . be interior to the other ; that is to say , one sphere will be greater + than the other ; which ...
Σελίδα 46
... unequal . And that sum is greatest , in which the unequal was greatest . If equals be taken from equals , the remainders are equal . If equals be taken from unequals , the remainders are unequal . And that remainder is greatest , in ...
... unequal . And that sum is greatest , in which the unequal was greatest . If equals be taken from equals , the remainders are equal . If equals be taken from unequals , the remainders are unequal . And that remainder is greatest , in ...
Άλλες εκδόσεις - Προβολή όλων
Geometry Without Axioms; Or the First Book of Euclid's Elements. with ... Thomas Perronet Thompson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles alternate angles angle ABC angle ACB angle BAC angular points aret assigned point Axiom axis base BC bisected called CEGDHF central distances change of place circle coincide throughout Constr demonstrated double equal angles equal straight lines equal to AC equal to EF equilateral triangle Euclid exterior angle extremities four right angles Geometry given straight line greater hard body inclose a space instance INTERC Intercalary Book ist equal join line AC magnitude manner meet opposite angles parallelogram parity of reasoning pass perpendicular prolonged Prop PROPOSITION proved quadrilateral radii radius rectilinear figure remain unmoved remaining angle remains at rest respectively SCHOLIUM self-rejoining line shown side BC side opposite situation sphere whose centre straight line BC tessera THEOREM.-If third side triangle ABC turned unlimited length Wherefore