Euclid, book i., propositions i. to xxvi., with exercises and alternative proofs [by T. Dalton].1877 |
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Side 4
... equal to one another , each of these angles is called a right angle ; and the straight line which stands on the ... sides . 16. An isosceles triangle has two sides equal . 17. A right - angled triangle is that which has a right angle ...
... equal to one another , each of these angles is called a right angle ; and the straight line which stands on the ... sides . 16. An isosceles triangle has two sides equal . 17. A right - angled triangle is that which has a right angle ...
Side 5
... lines .. 19. A square is a four - sided figure which has all ts sides equal , and all its angles right angles . 20. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet ...
... lines .. 19. A square is a four - sided figure which has all ts sides equal , and all its angles right angles . 20. Parallel straight lines are such as are in the same plane , and which being produced ever so far both ways do not meet ...
Side 6
... sides equal . 32. A rhombus is a four - sided figure which has all its sides equal , but its angles are not right angles . 33. A rhomboid is a four - sided figure which has its opposite sides equal to one another , but all its sides are ...
... sides equal . 32. A rhombus is a four - sided figure which has all its sides equal , but its angles are not right angles . 33. A rhomboid is a four - sided figure which has its opposite sides equal to one another , but all its sides are ...
Side 7
... equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are equal . 4. If equals be added to unequals , the wholes are unequal . 5. If ...
... equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are equal . 4. If equals be added to unequals , the wholes are unequal . 5. If ...
Side 8
... equal to AC . ( def . 11 ) Because B is the centre of the circle ACE , therefore BA is equal to BC . ( def . 11 ) ... side of AB . 2. From the greater of two given straight lines terminated at the same point cut off a part equal to the ...
... equal to AC . ( def . 11 ) Because B is the centre of the circle ACE , therefore BA is equal to BC . ( def . 11 ) ... side of AB . 2. From the greater of two given straight lines terminated at the same point cut off a part equal to the ...
Andre utgaver - Vis alle
Euclid, Book I., Propositions I. to XXVI., with Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2016 |
Euclid, Book I., Propositions I. to Xxvi., With Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid, Book I., Propositions I. to Xxvi., With Exercises and Alternative ... Euclides Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 39 - IF two triangles have two sides of the one equal to two sides of the...
Side 25 - To draw a straight line at right angles to a given straight line, from a given point in the same.
Side 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.
Side 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...
Side 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.
Side 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.
Side 37 - ... shall be equal to three given straight lines, but any two whatever of these must be greater than the third.
Side 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.
Side 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...
Side 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.