Elements of Geometry: Being Chiefly a Selection from Playfair's GeometryA. Walker, 1829 - 186 páginas |
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Página 18
... produced ever so far both ways , they are called paral- lel lines . Otherwise . If two lines be in the same plane , and have no inclination to each other , they are called parallel lines . ED . 15. Cor . 1. Hence parallel lines are ...
... produced ever so far both ways , they are called paral- lel lines . Otherwise . If two lines be in the same plane , and have no inclination to each other , they are called parallel lines . ED . 15. Cor . 1. Hence parallel lines are ...
Página 20
... produced to any length in a straight line . 3. That a circle may be described from any centre , at any distance from that centre . 4. That a straight line which meets one of two parallel straight lines may be produced till it meet the ...
... produced to any length in a straight line . 3. That a circle may be described from any centre , at any distance from that centre . 4. That a straight line which meets one of two parallel straight lines may be produced till it meet the ...
Página 23
... produce DB to G ( 2 Post . ) . From the cen- tre D , at the distance DG , describe the circle GKL , and produce DA to L. AL will be equal to BC . K H D B A E G F Because the point B is the centre of the circle CGH , BC is equal to BG ...
... produce DB to G ( 2 Post . ) . From the cen- tre D , at the distance DG , describe the circle GKL , and produce DA to L. AL will be equal to BC . K H D B A E G F Because the point B is the centre of the circle CGH , BC is equal to BG ...
Página 26
... 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 to AC , and the angle A is common to the two triangles ...
... 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 to AC , and the angle A is common to the two triangles ...
Página 31
... drawn at right angles to AB . Note . If the given point C be at or near the end of the given line AB , then AB must be produced on the side of the point C. ED . 1 PROPOSITION XII . PROBLEM . To draw a straight GEOMETRY . BOOK I. 31.
... drawn at right angles to AB . Note . If the given point C be at or near the end of the given line AB , then AB must be produced on the side of the point C. ED . 1 PROPOSITION XII . PROBLEM . To draw a straight GEOMETRY . BOOK I. 31.
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.