Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
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Página 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 ...
Página 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.
Página 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 ...
Página 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 ...
Página 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 ...
Otras ediciones - Ver todas
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Elements of Geometry: Being Chiefly a Selection From Playfair's Geometry John Playfair Sin vista previa disponible - 2023 |
Términos y frases comunes
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
Pasajes populares
Página 36 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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...
Página 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.
Página 20 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 38 - Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle.
Página 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.
Página 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...
Página 36 - The greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.