Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 σελίδες |
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Σελίδα 3
... respect of magnitude , which is call- ed their ratio . 8. When we observe two quantities , one of which is double of the other , we acquire the idea of a particular ratio , or rela- tion , which the greater has to the less ; and when we ...
... respect of magnitude , which is call- ed their ratio . 8. When we observe two quantities , one of which is double of the other , we acquire the idea of a particular ratio , or rela- tion , which the greater has to the less ; and when we ...
Σελίδα 24
... sides of one triangle be equal to two sides of another , each to each , and if the angles contained by those sides be also equal , the triangles will be equal in all respects . PROPOSITION A. THEOREM . This is Prop . 26 . 24 ELEMENTS OF.
... sides of one triangle be equal to two sides of another , each to each , and if the angles contained by those sides be also equal , the triangles will be equal in all respects . PROPOSITION A. THEOREM . This is Prop . 26 . 24 ELEMENTS OF.
Σελίδα 26
... respects . ED . PROPOSITION V. THEOREM . IF two sides of a triangle be equal , the angles oppo- site to them are equal . Let ABC be a triangle , of which the side AB is equal to AC ; the angle ABC is equal to ACB . Produce AB , AC to D ...
... respects . ED . PROPOSITION V. THEOREM . IF two sides of a triangle be equal , the angles oppo- site to them are equal . Let ABC be a triangle , of which the side AB is equal to AC ; the angle ABC is equal to ACB . Produce AB , AC to D ...
Σελίδα 29
... 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 DEF , the angle A to D , the angle B to È , and the angle C to F. A D B C F G Let the triangle DEF be ...
... 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 DEF , the angle A to D , the angle B to È , and the angle C to F. A D B C F G Let the triangle DEF be ...
Σελίδα 31
... respects . PROPOSITION XI . PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in AB ; it is required to draw a straight ...
... respects . PROPOSITION XI . PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in AB ; it is required to draw a straight ...
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.