Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Αποτελέσματα 1 - 5 από τα 16.
Σελίδα 16
... extremities of a line are points ; and the in- tersection of two lines is a point . 3. A straight line is that which every where tends the same way . See Note . ED . 4. Cor . Hence a straight line is the least distance between two ...
... extremities of a line are points ; and the in- tersection of two lines is a point . 3. A straight line is that which every where tends the same way . See Note . ED . 4. Cor . Hence a straight line is the least distance between two ...
Σελίδα 18
... extremities , which is fixed , until it arrive at the place from which it began to move , the surface described by ... extremity of the revolving line is called the circumference of the circle . ED . 20. Cor . Hence a circle is a plane ...
... extremities , which is fixed , until it arrive at the place from which it began to move , the surface described by ... extremity of the revolving line is called the circumference of the circle . ED . 20. Cor . Hence a circle is a plane ...
Σελίδα 44
... extremities of two equal and parallel straight lines are also equal and parallel . Let AB , CD be two equal and parallel lines , and let the A lines AC , BD join their cor- responding extremities ; then AC , BD are also equal and ...
... extremities of two equal and parallel straight lines are also equal and parallel . Let AB , CD be two equal and parallel lines , and let the A lines AC , BD join their cor- responding extremities ; then AC , BD are also equal and ...
Σελίδα 47
... extremities by the lines BF , CH ; therefore BE , CH are equal and parallel ( Prop . 33 ) ; therefore EBCH is a paral . and it is equal to ABCD ( Prop . 35 ) . But the paral . EFGH is equal to EBCH ; therefore also the paral . ABCD is ...
... extremities by the lines BF , CH ; therefore BE , CH are equal and parallel ( Prop . 33 ) ; therefore EBCH is a paral . and it is equal to ABCD ( Prop . 35 ) . But the paral . EFGH is equal to EBCH ; therefore also the paral . ABCD is ...
Σελίδα 83
... extremities of the arch . 5. A segment of a circle is the figure contained by a straight line and the arch which it cuts off , or , it is the space included between an arch and its chord . ED . * Numbers 1 , 2 , 3 , 4 , 7 , are ...
... extremities of the arch . 5. A segment of a circle is the figure contained by a straight line and the arch which it cuts off , or , it is the space included between an arch and its chord . ED . * Numbers 1 , 2 , 3 , 4 , 7 , are ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry Formerly Chairman Department of Immunology John Playfair,John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD alternate angles angle ABC angle ACB angle BAC angles AGH angles equal base ABC bases and altitudes bisect centre chord circumference cone Consequently cylinder demonstrations described diagonals diameter divided draw equal angles equal arches equal bases equal circles equal to AC equiangular Euclid's Euclid's Elements exterior angle fore four quantities four right angles geometry given point given straight line gles greater Hence homologous sides intersect KLMN Let ABC meet opposite angles opposite side paral parallel lines parallel to CD parallelogram parallelopipeds perp perpendicular plane polygon prism Prop pyramid Q. E. D. COR Q. E. D. PROPOSITION radius rectangle contained right angled triangle Scholium segments semicircle side AC similar similar triangles solid square straight line &c subtended tangent THEOREM triangle ABC vertex wherefore
Δημοφιλή αποσπάσματα
Σελίδα 36 - Any two sides of a triangle are together greater than the third side.
Σελίδα 80 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 42 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line...
Σελίδα 30 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Σελίδα 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Σελίδα 113 - Wherefore also the angle BAD is equal to the angle CAD : Therefore the angle BAC is cut into two equal angles by the straight line AD.
Σελίδα 24 - DE ; the point B shall coincide with the point E, because AB is equal to DE; and AB coinciding with DE, AC shall coincide...
Σελίδα 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.