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, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 83
... touch a circle , when it meets the circle , and being produced , does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be equally distant from the ...
... touch a circle , when it meets the circle , and being produced , does not cut it . II . Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be equally distant from the ...
Σελίδα 88
... touch one another internally , they cannot have the same centre . Let the two circles ABC , CDE , touch one another in- ternally in the point C : they have not the same centre . For , if they have , let it be F 88 ELEMENTS.
... touch one another internally , they cannot have the same centre . Let the two circles ABC , CDE , touch one another in- ternally in the point C : they have not the same centre . For , if they have , let it be F 88 ELEMENTS.
Σελίδα 94
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of con- tact . Let the two circles ABC , ADE , touch each other in- ternally in the point A , and let F be the centre ...
... touch each other internally , the straight line which joins their centres being produced , will pass through the point of con- tact . Let the two circles ABC , ADE , touch each other in- ternally in the point A , and let F be the centre ...
Σελίδα 95
... touch each other ex- ternally in the point A ; and let F be the centre of the circle ABC , and G the centre of ADE ... touch another in more points than one , whether it touch it on the inside or outside . For , if it be possible , let ...
... touch each other ex- ternally in the point A ; and let F be the centre of the circle ABC , and G the centre of ADE ... touch another in more points than one , whether it touch it on the inside or outside . For , if it be possible , let ...
Σελίδα 96
... touch another in the inside in more points than one . d 11. 3 . 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 ...
... touch another in the inside in more points than one . d 11. 3 . 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 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism proportional proposition pyramid Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle spherical angle spherical triangle Spherical Trigonometry straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Δημοφιλή αποσπάσματα
Σελίδα 58 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 26 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 46 - Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal...
Σελίδα 74 - THEOR. //' a straight line be divided into two equal, and also into two unequal parts, the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 84 - An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight . line which is the base of the segment.
Σελίδα 411 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 112 - 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 118 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 54 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 49 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles.