Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 20
... opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite to the right angle is called the hypothenuse ; and of the other two sides one is called the base and the other the ...
... opposite angles of any polygon , is called a diagonal . ED . 38. In a right angled triangle the side opposite to the right angle is called the hypothenuse ; and of the other two sides one is called the base and the other the ...
Σελίδα 24
... sides will be equal ; and their sur- faces will be equal ; and their other angles to which the equal sides are opposite will be equal , each to each . * Let ABC , DEF be two triangles , which have the side AB equal to DE , and AC to DF ...
... sides will be equal ; and their sur- faces will be equal ; and their other angles to which the equal sides are opposite will be equal , each to each . * Let ABC , DEF be two triangles , which have the side AB equal to DE , and AC to DF ...
Σελίδα 25
... side BC equal to EF ; then the other sides will be equal , each to each , namely , AB to DE , and AC to DF ; and the ... opposite to them are equal . " For suppose the two angles at the base of each triangle to be- come equal to each other , ...
... side BC equal to EF ; then the other sides will be equal , each to each , namely , AB to DE , and AC to DF ; and the ... opposite to them are equal . " For suppose the two angles at the base of each triangle to be- come equal to each other , ...
Σελίδα 34
... side of a straight line AB passing through the point of concourse E of any ... opposite angles will be equal . C Let the two straight lines AB , CD cut ... opposite an- gles AEC , BED are equal , and also the opposite angles CEB , AED are ...
... side of a straight line AB passing through the point of concourse E of any ... opposite angles will be equal . C Let the two straight lines AB , CD cut ... opposite an- gles AEC , BED are equal , and also the opposite angles CEB , AED are ...
Σελίδα 35
... opposite angles . Let ABC be a triangle and let one side BC be produced to D ; the exterior angle ACD is greater than either of the inte- rior opposite angles CBA , BAC . Bisect AC in E ( 10. 1. ) ; join BE , and produce it to F ; make ...
... opposite angles . Let ABC be a triangle and let one side BC be produced to D ; the exterior angle ACD is greater than either of the inte- rior opposite angles CBA , BAC . Bisect AC in E ( 10. 1. ) ; join BE , and produce it to F ; make ...
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.