The Eclectic School Geometry: A Revision of Evan's School GeometryVan Antwerp, Bragg, 1884 - 155 páginas |
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Página 14
... greater than B. 20. ( A + B ) ( AC ) is read the sum of A and B is multiplied by their difference . 21. A2 is read A squared . 22. √A = † B is read the square root of A is equal to the cube root of B. 23. The ? when used in this book ...
... greater than B. 20. ( A + B ) ( AC ) is read the sum of A and B is multiplied by their difference . 21. A2 is read A squared . 22. √A = † B is read the square root of A is equal to the cube root of B. 23. The ? when used in this book ...
Página 15
... it . 2. A part is some portion less than all of it . Cor . 1. - The whole is equal to the sum of all the parts . Cor . 2. - The whole is greater than any of its parts . PLANE GEOMETRY . BOOK 1 . SECTION IV . - POSTULATES . 15.
... it . 2. A part is some portion less than all of it . Cor . 1. - The whole is equal to the sum of all the parts . Cor . 2. - The whole is greater than any of its parts . PLANE GEOMETRY . BOOK 1 . SECTION IV . - POSTULATES . 15.
Página 17
... , the angles are right angles . B D An angle greater than a right angle is obtuse ; an angle less than a right angle is acute . E. G. - 2 . ( 17 ) A- B B Thus , ADC is obtuse ; BDC PLANE GEOMETRY Book I -Straight lines and their angles,
... , the angles are right angles . B D An angle greater than a right angle is obtuse ; an angle less than a right angle is acute . E. G. - 2 . ( 17 ) A- B B Thus , ADC is obtuse ; BDC PLANE GEOMETRY Book I -Straight lines and their angles,
Página 25
... greater ? Thus , the triangle ABC is scalene . 4. Any side of a triangle may be considered as its base , or that upon which it is supposed to rest , and the opposite angle as the ver- tex ; but in an isosceles trian- gle the base is the ...
... greater ? Thus , the triangle ABC is scalene . 4. Any side of a triangle may be considered as its base , or that upon which it is supposed to rest , and the opposite angle as the ver- tex ; but in an isosceles trian- gle the base is the ...
Página 30
... greater of two unequal sides in a triangle has the greater angle opposite to it . B The side AB > BC ... ang . C , op- posite AB , is greater than ang . A , opposite BC . Produce BC till BD equals AB , and draw AD . Then the ang . D is ...
... greater of two unequal sides in a triangle has the greater angle opposite to it . B The side AB > BC ... ang . C , op- posite AB , is greater than ang . A , opposite BC . Produce BC till BD equals AB , and draw AD . Then the ang . D is ...
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Términos y frases comunes
allel altitude apothegm Axiom Bisect the angles Book chord circle circumference coincide cone construction convex surface diagonal diameter diedral divided draw drawn equal Theo equal to half equally distant equilateral triangle equivalent exterior angle figure frustum Geometry given angle given line given point given straight line half the product Hence hexagon homologous sides hypotenuse hypothesis inscribed inscribed angle intersection isosceles Let ABC measured by half mutually equiangular number of equal number of sides parallel parallelogram parallelopiped pendicular perimeter perpendicular plane polyedron prism Prove pyramid quadrilateral Ques radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle secant segment slant height sphere square tangent tetraedron THEOREM THEOREM XI third trapezoid trian triangles ABC triedral vertex
Pasajes populares
Página 104 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Página 32 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Página 54 - The circumference of every circle is supposed to' be divided into 360 equal parts, called degrees ; each degree into 60 minutes, and each minute into 60 seconds. Degrees, minutes, and seconds are designated by the characters °, ', ". Thus 23° 14' 35" is read 23 degrees, 14 minutes, and 35 seconds.
Página 42 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Página 107 - The areas of two circles are to each other as the squares of their radii. For, if S and S' denote the areas, and R and R
Página 147 - 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.
Página 140 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Página 50 - The area of a regular polygon is equal to half the product of its apothem and perimeter.
Página 141 - The altitude of a pyramid or cone is the perpendicular distance from the ve~rtex to the base.
Página 39 - The area of a rectangle is equal to the product of its base and altitude.