Elementary GeometryJ.B. Lippincott Company, 1893 |
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Page 6
... passing a written examination , the student should have the syllabus before him , and may then conveniently refer to the propositions by number . In oral recitation , however ... PLANE GEOMETRY . BOOK I. RECTILINEAR 6 ELEMENTS OF GEOMETRY .
... passing a written examination , the student should have the syllabus before him , and may then conveniently refer to the propositions by number . In oral recitation , however ... PLANE GEOMETRY . BOOK I. RECTILINEAR 6 ELEMENTS OF GEOMETRY .
Page 10
... passes through the point in question . Definitions . A straight line is a line which has everywhere the same direction ... plane surface , or simply a plane , is a surface such that , if any two points in it are joined by a straight line ...
... passes through the point in question . Definitions . A straight line is a line which has everywhere the same direction ... plane surface , or simply a plane , is a surface such that , if any two points in it are joined by a straight line ...
Page 126
... plane of a polygon perpendiculars are drawn to all the sides , the two sums of the squares of the alternate segments ... pass through the same point . ( v . Proposition XI . ) 12. If two tangents are drawn to a circle at the extremities ...
... plane of a polygon perpendiculars are drawn to all the sides , the two sums of the squares of the alternate segments ... pass through the same point . ( v . Proposition XI . ) 12. If two tangents are drawn to a circle at the extremities ...
Page 187
... passes through the centre of the circle . Corollary II . When two ... pass through the centre of the circle . Corollary II . If two circumferences are tangent to each other , their centres and their point of contact ... PLANE GEOMETRY . 187.
... passes through the centre of the circle . Corollary II . When two ... pass through the centre of the circle . Corollary II . If two circumferences are tangent to each other , their centres and their point of contact ... PLANE GEOMETRY . 187.
Page 195
... plane has already been defined as a surface such that the straight line joining any two points in it lies wholly in ... passed ; but the line will not determine the plane . Let AB be a given straight line . A straight line may be drawn ...
... plane has already been defined as a surface such that the straight line joining any two points in it lies wholly in ... passed ; but the line will not determine the plane . Let AB be a given straight line . A straight line may be drawn ...
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Common terms and phrases
ABCD adjacent angles altitude angle BAC 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 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
Popular passages
Page 127 - The area of a rectangle is equal to the product of its base and altitude.
Page 196 - 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.
Page 131 - 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.
Page 245 - A truncated triangular prism is equivalent to the sum of three pyramids whose common base is the base of the prism, and whose vertices are the three vertices of the inclined section.
Page 278 - A lune is to the, surface of the sphere as the angle of the lune is to four right angles. Let...
Page 111 - 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.
Page 48 - The three perpendiculars from the vertices of a triangle to the opposite sides meet in the same point.
Page 57 - A tangent to a circle is perpendicular to the radius drawn to the point of contact.
Page 34 - The sum of the three angles of any triangle is equal to two right angles.