Chauvenet's Treatise on Elementary GeometryJ. B. Lippincott Company, 1887 - 322 páginas |
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Página 6
... number . In oral recitation , however , he should quote the full captions of the theorems on which he bases his proof . CAMBRIDGE , MASS . , 1887 . W. E. BYERLY . CONTENTS . INTRODUCTION .. PLANE GEOMETRY . BOOK I , 6 ELEMENTS OF GEOMETRY .
... number . In oral recitation , however , he should quote the full captions of the theorems on which he bases his proof . CAMBRIDGE , MASS . , 1887 . W. E. BYERLY . CONTENTS . INTRODUCTION .. PLANE GEOMETRY . BOOK I , 6 ELEMENTS OF GEOMETRY .
Página 14
... , which is right - angled at N. The side MP , opposite to the right angle , is called the hypotenuse . The base of a triangle is the side upon which it is supposed to stand . In general , any side may be 14 ELEMENTS OF GEOMETRY .
... , which is right - angled at N. The side MP , opposite to the right angle , is called the hypotenuse . The base of a triangle is the side upon which it is supposed to stand . In general , any side may be 14 ELEMENTS OF GEOMETRY .
Página 15
... base ; but in an isosceles triangle DEF , whose sides DE and DF are equal , the third side EF is always called the base . A When any side BC of a triangle has been adopted as the base , the angle BAC opposite to it is called the ...
... base ; but in an isosceles triangle DEF , whose sides DE and DF are equal , the third side EF is always called the base . A When any side BC of a triangle has been adopted as the base , the angle BAC opposite to it is called the ...
Página 22
... base , and is perpendicular to the base . EXERCISE . Theorem . An equilateral triangle is also equiangular . PROPOSITION IX . - THEOREM . 25. Two triangles are 22 ELEMENTS OF GEOMETRY .
... base , and is perpendicular to the base . EXERCISE . Theorem . An equilateral triangle is also equiangular . PROPOSITION IX . - THEOREM . 25. Two triangles are 22 ELEMENTS OF GEOMETRY .
Página 23
... base BC coincides with its equal H E F EF , but so that the vertex A falls on the opposite side of EF from D , as at ... base is perpendicular to the base , and bisects the vertical angle . PROPOSITION X. - THEOREM . 26. Two right ...
... base BC coincides with its equal H E F EF , but so that the vertex A falls on the opposite side of EF from D , as at ... base is perpendicular to the base , and bisects the vertical angle . PROPOSITION X. - THEOREM . 26. Two right ...
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Chauvenet's Treatise on Elementary Geometry William Chauvenet,William Elwood Byerly Vista completa - 1887 |
Términos y frases comunes
ABCD adjacent angles altitude angles are equal apothem bisects centre chord coincide common cone construct convex Corollary cylinder Definition diagonal diameter dicular diedral angle distance divided draw equal circles equally distant equilateral equivalent Exercise Find the locus frustum given circle given line given point given straight line greater Hence hypotenuse included angle inscribed angle intercepted arcs isosceles triangle lateral area lateral edges mean proportional middle point number of sides parallel lines parallelogram parallelopiped pass a plane pendicular perimeter perpen perpendicular plane angle plane MN plane passed polyedral angle Proposition VI Proposition VII quadrilateral radii radius ratio rectangle regular inscribed regular polygon respectively equal right angles right triangle Scholium secant secant line segment similar slant height sphere spherical polygon spherical triangle square surface tangent tetraedron Theorem triangle ABC triangles are equal triangular prism triedral upper base vertex volume
Pasajes populares
Página 200 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 133 - The area of a rectangle is equal to the product of its base and altitude.
Página 137 - Two triangles having 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 117 - The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides.
Página 214 - The acute angle which a straight line makes with its own projection upon a plane is the least angle which it makes with any line of that plane.
Página 113 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Página 38 - The sum of the three angles of any triangle is equal to two right angles.
Página 184 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Página 128 - Find the locus of a point the sum of whose distances from two given straight lines is equal to a given constant, k.
Página 52 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.