Euclid, book i., propositions i. to xxvi., with exercises and alternative proofs [by T. Dalton].1877 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 6.
Σελίδα 5
... terminated both ways by the circumference . 26. A semicircle is a figure contained by a diameter and the part of the circumference cut off by the diameter . 27. A segment of a circle is the figure con- tained by a straight line and the ...
... terminated both ways by the circumference . 26. A semicircle is a figure contained by a diameter and the part of the circumference cut off by the diameter . 27. A segment of a circle is the figure con- tained by a straight line and the ...
Σελίδα 8
... terminated at the same point cut off a part equal to the less . 3. Given two straight lines terminated in the same point , one of them finite , the second of unlimited length ; shew how to cut off from the second a part twice as long as ...
... terminated at the same point cut off a part equal to the less . 3. Given two straight lines terminated in the same point , one of them finite , the second of unlimited length ; shew how to cut off from the second a part twice as long as ...
Σελίδα 18
... terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity . If it be possible , upon the same base AB , and on the same side of it , let there be two triangles ACB ...
... terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity . If it be possible , upon the same base AB , and on the same side of it , let there be two triangles ACB ...
Σελίδα 22
... terminated in the one extremity of the base equal to one another , and likewise those which are terminated in the other extremity ; but this is impossible : ( prop . 7 ) therefore the sides BA , CA cannot have any situation such as EG ...
... terminated in the one extremity of the base equal to one another , and likewise those which are terminated in the other extremity ; but this is impossible : ( prop . 7 ) therefore the sides BA , CA cannot have any situation such as EG ...
Σελίδα 37
... terminated at D , but of unlimited length towards E : in DE make DF equal to A , FG equal to B , and GH equal to C : ( prop . 3 ) with F as centre , and at the distance FD describe the circle DKL ; with G as centre and at the distance ...
... terminated at D , but of unlimited length towards E : in DE make DF equal to A , FG equal to B , and GH equal to C : ( prop . 3 ) with F as centre , and at the distance FD describe the circle DKL ; with G as centre and at the distance ...
Άλλες εκδόσεις - Προβολή όλων
Euclid, Book I., Propositions I. to XXVI., with Exercises and Alternative ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Euclid, Book I., Propositions I. to Xxvi., With Exercises and Alternative ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Euclid, Book I., Propositions I. to Xxvi., With Exercises and Alternative ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
AC is equal ACD is greater angle ABC angle ACB angle BAC angle BCD angle contained angle DEF angle DFE angle EDF angle equal base BC bisects the angle centre circle circumference coincide common constr Construction Demonstration describe the circle distance Divide draw a straight equal angles equal sides equal to CD equidistant equilateral triangle Euclid exterior angle extremities figure Find a point four given point given straight line greater Hence impossible interior intersect isosceles triangle join length less Let ABC likewise line BC meet middle point namely opposite angle opposite sides placed plane position PROBLEM produced proof prop PROPOSITION Prove quadrilateral remainder respects right angles shew shewn side AC sides equal stands taken terminated THEOREM thing triangle ABC triangle DEF triangles be equal unequal whole
Δημοφιλή αποσπάσματα
Σελίδα 39 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 25 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Σελίδα 4 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 7 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 7 - Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal to one another.
Σελίδα 36 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle.
Σελίδα 37 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
Σελίδα 18 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.
Σελίδα 29 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines...
Σελίδα 3 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.