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 37.
Σελίδα 10
... four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided ... right angled triangle is that which has a right angle . 23. An obtuse angled triangle is that which has an obtuse angle .
... four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided ... right angled triangle is that which has a right angle . 23. An obtuse angled triangle is that which has an obtuse angle .
Σελίδα 11
... sides equal to one another , but all its sides are not equal , nor its angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and ...
... sides equal to one another , but all its sides are not equal , nor its angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and ...
Σελίδα 20
... right angles ; but the angles ABC , ABD are likewise together equal to two right angles : therefore the angles CBA ... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one ...
... right angles ; but the angles ABC , ABD are likewise together equal to two right angles : therefore the angles CBA ... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one ...
Σελίδα 28
... angles ; but this is impossible ; for the four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH , CHG , are by supposition less than two right angles ; therefore the other two , HGL 28 ...
... angles ; but this is impossible ; for the four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH , CHG , are by supposition less than two right angles ; therefore the other two , HGL 28 ...
Σελίδα 29
... right angles ; therefore the other two , HGL , GHD are greater than two right angles . Therefore , since KL and CD ... four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse ...
... right angles ; therefore the other two , HGL , GHD are greater than two right angles . Therefore , since KL and CD ... four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse ...
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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...