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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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Página 4
... 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 straight line ...
... 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 straight line ...
Página 5
... a point , it may be expressed by a letter placed at that point ; as the angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ...
... a point , it may be expressed by a letter placed at that point ; as the angle at E. ' 7. When a straight line standing on another straight line makes the adjacent angles equal to one another , each of the angles is called a right angle ...
Página 7
... line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27 ... straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced ...
... line which joins the vertices of two angles not adjacent to each other . Thus , BC , in the diagram of Theor . 27 ... straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced ...
Página 12
... line AB , let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together to two right angles . BD is in the same straight line with CB . A For if BD be not in the same straight 12 ...
... line AB , let the two straight lines BC , BD upon the opposite sides of AB , make the adjacent angles ABC , ABD equal together to two right angles . BD is in the same straight line with CB . A For if BD be not in the same straight 12 ...
Página 13
... A For if BD be not in the same straight line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to ...
... A For if BD be not in the same straight line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to ...
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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 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