Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids; to which are Added, Elements of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 páginas |
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Página 4
... extremities of a line are points ; and the intersections " of one line with another are also points . " 3. " If two lines are such that they cannot coincide in any two points , with- out coinciding altogether , each of them is called a ...
... extremities of a line are points ; and the intersections " of one line with another are also points . " 3. " If two lines are such that they cannot coincide in any two points , with- out coinciding altogether , each of them is called a ...
Página 18
... extremities of that line . COR . 3. From the same point , three equal straight lines cannot be drawn to the same straight line ; for if there could , we should have two equal oblique lines on the same side of the perpendicular , which ...
... extremities of that line . COR . 3. From the same point , three equal straight lines cannot be drawn to the same straight line ; for if there could , we should have two equal oblique lines on the same side of the perpendicular , which ...
Página 25
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
Página 55
... extremities of it are in the circumference of the circle . And any straight line which meets the circle in two points , is called a secant . 8. A segment of a circle is the figure con- tained by a straight line , and the arc which it ...
... extremities of it are in the circumference of the circle . And any straight line which meets the circle in two points , is called a secant . 8. A segment of a circle is the figure con- tained by a straight line , and the arc which it ...
Página 65
... extremities , therefore , of the arc AFD , thus coinciding with those of the arc BGD , all the intermediate parts must coin- cide , inasmuch as they are all equally dis- tant from the centre . A H E B F G Conversely . Let the arc AFD be ...
... extremities , therefore , of the arc AFD , thus coinciding with those of the arc BGD , all the intermediate parts must coin- cide , inasmuch as they are all equally dis- tant from the centre . A H E B F G Conversely . Let the arc AFD be ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore