Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
Dentro del libro
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Página 19
... polygons , by more than four straight lines . 27. Of three - sided figures , an equilateral triangle is that which has three equal sides . 28. An isosceles triangle is that which has two sides equal . ΔΔΔ 29. A scalene triangle is that ...
... polygons , by more than four straight lines . 27. Of three - sided figures , an equilateral triangle is that which has three equal sides . 28. An isosceles triangle is that which has two sides equal . ΔΔΔ 29. A scalene triangle is that ...
Página 20
... 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 perpendicular , accord- ing to the ...
... 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 perpendicular , accord- ing to the ...
Página 57
... polygon , or have all its angles equal , the quantity of each angle may be found by this formula . Suppose an equiangular polygon of six sides , then 2r x n — 4r : 12r4r = Sr , therefore r = r = x 90 4 x 30 = 120 , that is , each of the ...
... polygon , or have all its angles equal , the quantity of each angle may be found by this formula . Suppose an equiangular polygon of six sides , then 2r x n — 4r : 12r4r = Sr , therefore r = r = x 90 4 x 30 = 120 , that is , each of the ...
Página 126
... polygons , and let AB be the homologous side to FG ; the polygons may be divided into the same number of similar triangles , whereof each has to each the same ratio which the polygons have ; and the polygon ABCDE has to FGHKL the ...
... polygons , and let AB be the homologous side to FG ; the polygons may be divided into the same number of similar triangles , whereof each has to each the same ratio which the polygons have ; and the polygon ABCDE has to FGHKL the ...
Página 127
... polygons have to each other , the antecedents being ABE , EBC , ECD , and the consequents FGL , LGH , LHK ; and the polygon ABCDE has to FGHKL the duplicate ratio of that which the side AB has to the homologous side FG . Because the ...
... polygons have to each other , the antecedents being ABE , EBC , ECD , and the consequents FGL , LGH , LHK ; and the polygon ABCDE has to FGHKL the duplicate ratio of that which the side AB has to the homologous side FG . Because the ...
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.