## Elements of Geometry: Plane and Solid |

### From inside the book

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Page 73

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**given**in the statement as trisected , we do not first construct the triangle and then laboriously proceed to tri- sect a side , but we first lay off on a**line**three parts of convenient length , and then employ this three - part A B**line**... Page 75

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**given**exercise by this analytic process ? Certainly not , as regards theorems , at least , though it is usually ...**line**. But BAD is a straight**line**( Hyp . ) ; etc. = In Ex . 120 , if ABC be the triangle , and the bisectors meet ... Page 11

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**given**as exercises , yet it finds an important application whenever , as before adverted to , we arrive at some ...**line**. 3. A right angle . 4. A straight**line**. 5. A curved**line**. 6. Plane surfaces , which are also presented by ... Page 15

... lines can be drawn from the point to the

... lines can be drawn from the point to the

**given line**, there can be only two that make equal angles with it . 58. The two oblique lines form with the**given line**a triangle , of which the greater side is opposite the greater angle . 59 ... Page 19

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**line**, BAD is a st . 4 , and BAC being a rt . ≤ ( Hyp . ) , CAD is also a ...**given**angle is perpendicular to the bisector of the angle . Let DE cut off ...**given**triangle is isosceles . Let the bisectors of ABC , ACB of △ ABC ...### Other editions - View all

### Common terms and phrases

AB² ABCD AC² AE² altitude angles formed arc BC axes of symmetry base BC² bisect bisector CD² chord circumf circumference coincide construct cutting denote describe an arc diagram for Ex diameter dihedral angles draw drawn edge EF² equal angles equilateral triangle exercises exterior angles given angle given circle given line given point Hence hypotenuse inscribed intercept intersection isosceles triangle Join AC Let AB Let ABC meet mid point par'm parallel to BC parallelogram parallelopiped pass a plane perpendicular plane passed point as required polygon prism produced Prop quadrilateral radii radius equal rectangle required locus respectively right angle right triangle segment sides straight angle straight line surface tangent theorem vertex vertical angle