Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Αποτελέσματα 1 - 5 από τα 35.
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
... AC to DF ; and the third angle A to the third angle D. Α D AA B CE F Let the triangle ABC be applied to DEF , so that the side BC may coincide with EF ; then the side AB will lie on DE , be- cause the angle B is equal to E , and the ...
... AC to DF ; and the third angle A to the third angle D. Α D AA B CE F Let the triangle ABC be applied to DEF , so that the side BC may coincide with EF ; then the side AB will lie on DE , be- cause the angle B is equal to E , and the ...
Σελίδα 26
... side AB is equal to AC ; the angle ABC is equal to ACB . Produce AB , AC to D and E. In BD take any point F , and from AE , the greater , cut off AG equal to AF , the less ( 3. 1. ) , and join FC , GB . The side AF is equal to AG , and AB ...
... side AB is equal to AC ; the angle ABC is equal to ACB . Produce AB , AC to D and E. In BD take any point F , and from AE , the greater , cut off AG equal to AF , the less ( 3. 1. ) , and join FC , GB . The side AF is equal to AG , and AB ...
Σελίδα 28
... side AB is not greater than AC . In the same manner it may be proved that AB is not less than AC . Consequently AB is equal to AC . There- fore , if two angles & c , Q. E. D. B C Otherwise . If the angle B be equal to C , the side AB is ...
... side AB is not greater than AC . In the same manner it may be proved that AB is not less than AC . Consequently AB is equal to AC . There- fore , if two angles & c , Q. E. D. B C Otherwise . If the angle B be equal to C , the side AB is ...
Σελίδα 29
... sides of one tri- angle equal to the three sides of the other , each to oach , they are equal in all respects . Let ABC , DEF be two triangles having the side AB equal to DE , and AC to DF , and BC to EF ; the triangle ABC is equal to ...
... sides of one tri- angle equal to the three sides of the other , each to oach , they are equal in all respects . Let ABC , DEF be two triangles having the side AB equal to DE , and AC to DF , and BC to EF ; the triangle ABC is equal to ...
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.