The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedConrad and Company, 1892 - 518 σελίδες |
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Αποτελέσματα 1 - 5 από τα 88.
Σελίδα 11
... a given finite straight line . A B E Let AB be the given straight line . It is required to describe an equilateral triangle on AB . Construction . From centre A , with radius AB , describe the circle BCD . Post . 3 . From centre B ...
... a given finite straight line . A B E Let AB be the given straight line . It is required to describe an equilateral triangle on AB . Construction . From centre A , with radius AB , describe the circle BCD . Post . 3 . From centre B ...
Σελίδα 12
... straight line equal to a given straight line . K D H G Let A be the given point , and BC the given straight line . It is required to draw from the point A a straight line equal to BC . Construction . Join AB ; Post . 1 . and on AB ...
... straight line equal to a given straight line . K D H G Let A be the given point , and BC the given straight line . It is required to draw from the point A a straight line equal to BC . Construction . Join AB ; Post . 1 . and on AB ...
Σελίδα 13
... given straight lines to cut of a part equal to the less . Α E B F Let AB and C be the two given straight lines , of which AB is the greater . It is required to cut off from AB a part equal to C. Construction . From the point A draw the ...
... given straight lines to cut of a part equal to the less . Α E B F Let AB and C be the two given straight lines , of which AB is the greater . It is required to cut off from AB a part equal to C. Construction . From the point A draw the ...
Σελίδα 17
... a triangle is equilateral it is EXERCISES . 1. AB is a given straight line and C a given point outside it : shew how to find any points in AB such that their distance from C shall be equal to a given length L. Can such points always be ...
... a triangle is equilateral it is EXERCISES . 1. AB is a given straight line and C a given point outside it : shew how to find any points in AB such that their distance from C shall be equal to a given length L. Can such points always be ...
Σελίδα 24
... given finite straight line , that is , to divide it into two equal parts . A B Let AB be the given straight line : it is required to divide it into two equal parts . Constr . On AB describe ... draw a straight line at 24 EUCLID'S ELEMENTS .
... given finite straight line , that is , to divide it into two equal parts . A B Let AB be the given straight line : it is required to divide it into two equal parts . Constr . On AB describe ... draw a straight line at 24 EUCLID'S ELEMENTS .
Άλλες εκδόσεις - Προβολή όλων
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal adjacent angles angle BAC angle equal base BC bisected bisectors centre chord circumference circumscribed circle concyclic Constr Describe a circle diagonal diameter divided equal angles equiangular Euclid exterior angle find the locus given circle given point given straight line Given the base given triangle greater Hence hypotenuse inscribed circle isosceles triangle Let ABC line which joins magnitudes meet middle point nine-points circle opposite sides orthocentre par¹ parallelogram parm pass pedal triangle perp perpendiculars drawn plane XY point of contact polygon produced Proof proportional PROPOSITION PROPOSITION 21 prove quadrilateral radical axis radius rect rectangle contained rectilineal figure regular polygon right angles segment shew shewn Similarly square straight line drawn tangent THEOREM triangle ABC vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 333 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Σελίδα 1 - 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.
Σελίδα 45 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz.
Σελίδα 142 - In every triangle, the square on the side subtending an acute angle, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle.
Σελίδα 148 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Σελίδα 377 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 308 - From this it is manifest, that prisms upon triangular bases, of the same altitude, are to one another as their bases. Let the...
Σελίδα 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 73 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 7 - Things which are 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 equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.