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Página 9
... perpendicular to a straight line is a straight line that makes a right angle with it . Def . 16. An acute angle is that which is less than a right angle . Def . 17. An obtuse angle is that which is BOOK I. ] 9 DEFINITIONS .
... perpendicular to a straight line is a straight line that makes a right angle with it . Def . 16. An acute angle is that which is less than a right angle . Def . 17. An obtuse angle is that which is BOOK I. ] 9 DEFINITIONS .
Página 13
... perpendicular drawn to that line . COR . 2. The complements of equal angles are equal . COR . 3. The supplements of equal angles are equal . THEOREM 2 . If a straight line stands upon another straight line it makes the adjacent angles ...
... perpendicular drawn to that line . COR . 2. The complements of equal angles are equal . COR . 3. The supplements of equal angles are equal . THEOREM 2 . If a straight line stands upon another straight line it makes the adjacent angles ...
Página 32
... others are acute . COR . 2. From a given point outside a given straight line , only one perpendicular can be drawn to that straight line . * Euclid , 1. 17 . THEOREM 19 . Of all the straight lines that can 32 [ BOOK I. ELEMENTARY GEOMETRY .
... others are acute . COR . 2. From a given point outside a given straight line , only one perpendicular can be drawn to that straight line . * Euclid , 1. 17 . THEOREM 19 . Of all the straight lines that can 32 [ BOOK I. ELEMENTARY GEOMETRY .
Página 33
... perpendicular is the shortest ; and of the others , those making equal angles with the perpendicular are equal ; and that which makes a greater angle with the perpendicular is greater than that which makes a less . 0 A RQ P S B Part ...
... perpendicular is the shortest ; and of the others , those making equal angles with the perpendicular are equal ; and that which makes a greater angle with the perpendicular is greater than that which makes a less . 0 A RQ P S B Part ...
Página 38
... perpendicular to them meet in one point . 7. The perpendiculars let fall from the extremities of the base of an isosceles triangle upon the opposite sides will be equal , and will make equal angles with the base . 8. The perpendicular ...
... perpendicular to them meet in one point . 7. The perpendiculars let fall from the extremities of the base of an isosceles triangle upon the opposite sides will be equal , and will make equal angles with the base . 8. The perpendicular ...
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Términos y frases comunes
AB² ABCD alternate angles angle ABC angle APB angle BAC angles are equal angles equal bisector centre chord circumference coincide College Constr construct contrapositive Crown 8vo describe a circle diagonals diameter divided draw Edition equal angles equal circles equiangular Euclid exterior angle fcap Find the locus four right angles Geometry given angle given circle given line given point given rectilineal figure given straight line hypotenuse included angle inscribed intersect isosceles triangle less Let AB Let ABC locus magnitudes meet middle point minor arc opposite angles opposite sides parallel parallelogram perpendicular polygon PROBLEM produced Proof Q. E. D. THEOREM quadrilateral radius rectangle contained reflex angle required to prove rhombus right angles segment semicircle Shew square subtend supplementary supplementary angles tangent THEOREM trapezium triangle ABC triangles are equal unequal
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