Elements of Geometry: With Practical Applications, for the Use of SchoolsRichardson, Lord & Holbrook, 1829 - 129 páginas |
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Página 10
... gles - for they have for their measure a semicircumference or 180 ° . Thus all the angles whether two or more , form- ed at the point A on one side of the line B C , are equal to two right angles . F11 L 21. Since , from what has just ...
... gles - for they have for their measure a semicircumference or 180 ° . Thus all the angles whether two or more , form- ed at the point A on one side of the line B C , are equal to two right angles . F11 L 21. Since , from what has just ...
Página 16
... gles , being interior on the same side ( 35 ) . Then if from 2 right angles we take 1 right angle A L M , there must remain a right angle L M C. Hence E F is perpendicular to C D , which was the first thing to be demonstrated . The ...
... gles , being interior on the same side ( 35 ) . Then if from 2 right angles we take 1 right angle A L M , there must remain a right angle L M C. Hence E F is perpendicular to C D , which was the first thing to be demonstrated . The ...
Página 18
... as a corollary from the preceding proposition , that - all angles inscribed in the same segment , are equal - and that - all angles inscribed in a semicircumference are right an- gles . Thus the angles A C B , A 18 ELEMENTS OF GEOMETRY .
... as a corollary from the preceding proposition , that - all angles inscribed in the same segment , are equal - and that - all angles inscribed in a semicircumference are right an- gles . Thus the angles A C B , A 18 ELEMENTS OF GEOMETRY .
Página 19
... gles . We shall consider it in the present section merely as a figure bounded by lines , without regard to the quanti- ty of surface it contains . If the three sides of the triangle are equal , it is called equilateral . If only two of ...
... gles . We shall consider it in the present section merely as a figure bounded by lines , without regard to the quanti- ty of surface it contains . If the three sides of the triangle are equal , it is called equilateral . If only two of ...
Página 21
... gles B and C are equal , the arcs A B and A C are equal . Then the chords A B and A C are equal , and the triangle is isosceles . 51. If a triangle is equilateral it is equiangular- . If the three chords are equal ( fig . 30 ) the three ...
... gles B and C are equal , the arcs A B and A C are equal . Then the chords A B and A C are equal , and the triangle is isosceles . 51. If a triangle is equilateral it is equiangular- . If the three chords are equal ( fig . 30 ) the three ...
Otras ediciones - Ver todas
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2023 |
Elements of Geometry: With Practical Applications, for the Use of Schools Timothy Walker Sin vista previa disponible - 2019 |
Términos y frases comunes
A B C D A B fig adjacent angles axis B A C base and altitude base multiplied bisect called centre chord circ circumference coincide convex surface cube cylinder D E F demonstrated diameter divided draw equally distant equivalent found by multiplying frustum geometry given line gles height Hence homologous sides hundredths inches infinite number infinitely small inscribed angles inscribed circle inscribed sphere intersection line A B line drawn linear unit mean proportional method of Exhaustions number of sides parallel sides perimeter perpendicular polyedrons preceding proposition proved pyramid radii radius ratio regular polygon rence right angle right parallelogram right parallelopiped right triangle semicircumference similar triangles solid angles sphere square feet straight line Suppose tangent tion trapezoid triangles A B C triangles are equal triangular prism vertex vertices
Pasajes populares
Página ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Página xiv - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 30 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C' Proof. Draw the altitudes BD and B'D'.
Página xiv - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 25 - In any proportion, the product of the means is equal to the product of the extremes.
Página 38 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Página 25 - Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction.
Página xiv - Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one another.
Página 42 - The area of a trapezoid is equal to the product of its altitude, by half the sum of its parallel bases.
Página xiv - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles...