Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
Dentro del libro
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Página
... gles ( 29.1 ) For ; wherefore read , and For 61 read 6 For 2 read 3 For circles read circle For 2 read 3 At the upper right corner of the fig . write E 152 7,10,13,23 For 2 Sup . read 11 158 13 161 15 163 25 163 4 bot . 169 4 175 3 bot ...
... gles ( 29.1 ) For ; wherefore read , and For 61 read 6 For 2 read 3 For circles read circle For 2 read 3 At the upper right corner of the fig . write E 152 7,10,13,23 For 2 Sup . read 11 158 13 161 15 163 25 163 4 bot . 169 4 175 3 bot ...
Página 17
... gles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . Otherwise . When a straight line standing on another straight line does not incline to either side of it , the former line ...
... gles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . Otherwise . When a straight line standing on another straight line does not incline to either side of it , the former line ...
Página 27
... gles B and A is equal to C ; therefore they are equal to each other ( 1 Ax . ) . B Wherefore the three angles of the trian- gle ABC are equal , that is , the triangle ABC is equiangular , ED . A PROPOSITION VI . THEOREM . * If two ...
... gles B and A is equal to C ; therefore they are equal to each other ( 1 Ax . ) . B Wherefore the three angles of the trian- gle ABC are equal , that is , the triangle ABC is equiangular , ED . A PROPOSITION VI . THEOREM . * If two ...
Página 33
... gles DBA , CBA will be equal to the three angles DBE , EBA , ABC . Now DBE is a right angle , and the two angels EBA , ABC are together equal to the right angle CBE . Therefore the sum of the three angles DBE , EBA , ABC is equal to two ...
... gles DBA , CBA will be equal to the three angles DBE , EBA , ABC . Now DBE is a right angle , and the two angels EBA , ABC are together equal to the right angle CBE . Therefore the sum of the three angles DBE , EBA , ABC is equal to two ...
Página 34
... on both sides of the point of intersection E ; therefore the opposite an- gles AEC , BED are equal , and also the opposite angles CEB , AED are equal . Q. E. D. ED . PROPOSITION XVI . THEOREM . * If one side of 34 ELEMENTS OF.
... on both sides of the point of intersection E ; therefore the opposite an- gles AEC , BED are equal , and also the opposite angles CEB , AED are equal . Q. E. D. ED . PROPOSITION XVI . THEOREM . * If one side of 34 ELEMENTS OF.
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.