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 TrigonometryJ.P. Lippincott & Company, 1855 - 318 σελίδες |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 61
... touch a circle , when it meets the cir- cle , and being produced does not cut it . And that line which has but one point in comme with the circumference , is called a tangent , and the point in com- mon , the point of contact . 2 ...
... touch a circle , when it meets the cir- cle , and being produced does not cut it . And that line which has but one point in comme with the circumference , is called a tangent , and the point in com- mon , the point of contact . 2 ...
Σελίδα 65
... touch one another internally , they cannot have the same centre Let the two circles ABC , CDE , touch one another internally in the point C ; they have not the same centre . For , if they have , let it be F ; join FC , and draw any ...
... touch one another internally , they cannot have the same centre Let the two circles ABC , CDE , touch one another internally in the point C ; they have not the same centre . For , if they have , let it be F ; join FC , and draw any ...
Σελίδα 68
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A , and let F be the centre of ...
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of contact . Let the two circles ABC , ADE , touch each other internally in the point A , and let F be the centre of ...
Σελίδα 69
... touch each other externally , the straight line which joins ther centres will pass through the point of contact . Let the two circles ABC , ADE , touch each other externally in the point A ; and let F be the centre of the circle ABC ...
... touch each other externally , the straight line which joins ther centres will pass through the point of contact . Let the two circles ABC , ADE , touch each other externally in the point A ; and let F be the centre of the circle ABC ...
Σελίδα 70
... touch another in the inside in more points than one . K Nor can two circles touch one another on the outside in more than one point : For , if it be possible , let the circle ACK touch the circle ABC in the points A , C , and join AC ...
... touch another in the inside in more points than one . K Nor can two circles touch one another on the outside in more than one point : For , if it be possible , let the circle ACK touch the circle ABC in the points A , C , and join AC ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder definition demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC line BC magnitudes meet opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Δημοφιλή αποσπάσματα
Σελίδα 41 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 70 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 45 - Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal...
Σελίδα 91 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 273 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 25 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 130 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Σελίδα 61 - THE diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer to the centre than the less.* Let ABCD be a circle, of which...